Answers
Step-by-step explanation:
6.
the figure can be considered as a combination of a 16×8 rectangle and a 10×8 right-angled triangle on the left side.
for both, perimeter and area, we need to find the length of the missing third side of the right-angled triangle, as this is a part of the long baseline of the overall figure.
as it is a right-angled triangle, we can use Pythagoras :
c² = a² + b²
"c" being the Hypotenuse (the side opposite of the 90° angle, in our case 10 ft). "a" and "b" being the legs (in our case 8 ft and unknown).
10² = 8² + (leg2)²
100 = 64 + (leg2)²
36 = (leg2)²
leg2 = 6 ft
that means the bottom baseline is 16 + 6 = 22 ft long.
a.
Perimeter = 10 + 16 + 8 + 22 = 56 ft
b.
Area is the sum of the area of the rectangle and the area of the triangle.
area rectangle = 16×8 = 128 ft²
area triangle (in a right-angled triangle the legs can be considered baseline and height) = 8×6/2 = 24 ft²
total Area = 128 + 24 = 152 ft²
7.
it was important that the bottom left angle of the quadrilateral was indicated as right angle (90°). otherwise this would not be solvable.
but so we know, it is actually a rectangle.
that means all corner angles are 90°.
therefore, the angle AMT = 90 - 20 = 70°.
the diagonals split these 90° angles into 2 parts that are equal in both corners of the diagonal, they are just up-down mirrored.
a.
so, the angle HTM = AMT = 70°.
b.
MEA is an isoceles triangle.
so, the angles AME and EAM are equal.
the angle AME = AMT = EAM = 70°.
the sum of all angles in a triangle is always 180°.
therefore,
the angle MEA = 180 - 70 - 70 = 40°
c.
both diagonals are equally long, and they intersect each other at their corresponding midpoints.
so, when AE = 15 cm, then AH = 2×15 = 30 cm.
TM = AH = 30 cm.
Related Questions
-8x+y=6
-8x+3y=-14
How would you solve this using the elimination method? Thanks!
Answers
Answer:
x = -1,375
y = -5
Step-by-step explanation:
{-8x + y = 6, / : (-1)
{-8x + 3y = -14;
Multiply the first equation by -1, so that we could eliminate 8x:
+ {8x - y = -6,
{-8x + 3y = -14;
----------------------
4y = - 20 / : 4
y = -5
Now, make x the subject from the first equation (you can do it from the 2nd one instead):
8x = -6 + y / : 8
x = -0,75 + 0,125y
x = -0,75 + 0,125 × (-5) = -0,75 - 0,625 = -1,375
| 2. Ghana recently accelerated its plan to privatize tens of thousands of state-owned firms. The estimates of the market demand and supply for the goods are given byQd = -2P + 10 and Q. = 2P-2 2 (a) Determine the equilibrium price and quantity (b) Calculate the price elasticity of demand and supply and comment on your results. (c) The government raises a concern that the free-market price might be too high for the consumers and is planning to set a price ceiling of GH¢1.5. What problem will arise out of these concerns from the Government? (d) Briefly explain 3 main effects the above problem will have on the market. (e) Suggest some measures that the Government should adopt to make price ceiling effective. Now suppose the Government imposed a per tax 2 Ghana cedis on the quantity supplied calculate the consumer and producer surplus before and after the imposition of the tax.
Answers
Please help! (40 points) Find the common ratio for this geometric sequence. 1 1 1 2'8'32 8, 2, A.1 4 O A. B. 12/1 O B. O C. 4 OD. 2
Answers
Answer:
[tex]\textsf{A.} \quad \dfrac{1}{4}[/tex]
Step-by-step explanation:
Given geometric sequence:
[tex]8,\;2,\;\dfrac{1}{2},\;\dfrac{1}{8},\;\dfrac{1}{32}[/tex]
The common ratio for a geometric sequence can be found by dividing a term by the previous term.
[tex]\implies r=\dfrac{a_2}{a_1}=\dfrac{2}{8}=\dfrac{2 \div 2}{8 \div 2} =\dfrac{1}{4}[/tex]
Therefore, the common ratio for the given geometric sequence is 1/4.
90
17. What is matrix A + matrix B?
OA
[12
6
26
Answers
The sum of the matrices A + B is 5 8
2.6 2
Calculating the sum of the matrices
To add two matrices, they must have the same dimensions (the same number of rows and the same number of columns).
To add two matrices A and B, you can add the corresponding elements of the two matrices and place the result in the corresponding position of a new matrix C.
In mathematical notation, if A and B are two matrices of the same dimensions, then the sum C = A + B is defined by:
C[i,j] = A[i,j] + B[i,j]
Using the above as a guide, we have the following:
A + B = 5 8
2.6 2
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Simplify the expression 2 2/3 • 11/2 - 3 3/4
Answers
Exact Form: 131/12
Decimal Form:10.916
Mixed Number Form: 10 11/12
Answer:
131/12 or 10.91666. or [tex]10\frac{11}{12}[/tex]
Hope this helps!
Step-by-step explanation:
( [tex]\frac{8}{3}[/tex] × [tex]\frac{11}{2}[/tex] ) - [tex]\frac{15}{4}[/tex]
( [tex]\frac{4}{3}[/tex] × [tex]\frac{11}{1}[/tex] ) - [tex]\frac{15}{4}[/tex]
[tex]\frac{44}{3}[/tex] - [tex]\frac{15}{4}[/tex]
[tex]\frac{176}{12}[/tex] - [tex]\frac{45}{12}[/tex]
[tex]\frac{131}{12}[/tex]
The equation x + 3y= 8 is graphed which point represents a solution for this equation
Answers
To find a point that represents a solution for the equation x + 3y = 8, we need to find a point (x,y) that satisfies this equation. One way to do this is to choose a value for x, and then solve for y. For example, if we let x = 2, we have:
2 + 3y = 8
Subtracting 2 from both sides, we get:
3y = 6
Dividing both sides by 3, we get:
y = 2
So the point (2,2) is a solution for the equation x + 3y = 8. To check, we can substitute x = 2 and y = 2 into the equation:
2 + 3(2) = 8
8 = 8
This is true, so (2,2) is a solution for the equation.
Alternatively, we could choose a value for y and solve for x. For example, if we let y = 0, we have:
x + 3(0) = 8
x = 8
So the point (8,0) is also a solution for the equation x + 3y = 8.
Brian spent 20% of his savings on a bicycle and 15% of remainder on a book. What percentage of his savings did he have left?
Answers
Answer:
65
Step-by-step explanation:
A hummingbird's nest is 12 feet high in a tree and a flower is on the ground 16 feet away
from the base of the tree. How far will the hummingbird need to fly to get from its nest to the
flower?
Answers
Answer:
the bird will need to fly 4feet closer to the flower
in your own words, describe how to plot or graph an ordered pair of numbers.
Answers
Identify the two numbers in the ordered pair, locate the x-axis and y-axis on the plane, move along the x-axis to the position corresponding to the first number, move vertically along the y-axis to the position corresponding to the second number, mark the point with a dot or small circle, and connect the dots to show patterns.
How to plot or graph an ordered pair of numbers?The procedures below must be followed in order to plot or graph an ordered pair of integers, usually known as a point, on a two-dimensional plane:
Find the two numbers that make up the ordered pair. The position of the point on the x-axis is shown by the first number, while its location on the y-axis is indicated by the second number.On the plane, find the x- and y-axes. The y-axis is the vertical axis that runs up and down, and the x-axis is the horizontal axis that travels left to right.Move along the x-axis to the location corresponding to the first number in the ordered pair starting from the origin, which is the location where the x-axis and y-axis intersect (often represented by the coordinates (0, 0)).Move up the y-axis vertically until you are in the position that corresponds to the second number in the ordered pair.The position of the ordered pair on the two-dimensional plane is determined by the intersection of the two lines.Make a little circle or a dot to symbolize the point on the graph.If you need to plot more than one point, follow the instructions above for each additional point, identifying each one with a different symbol or color.To demonstrate any patterns or trends in the data, finish by connecting the dots.To know more about graph, visit
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Use the sample data and confidence level given below to complete parts (a) through (d).
A drug is used to help prevent blood clots in certain patients. In clinical trials, among 4319 patients treated with the drug. 108 developed the adverse reaction of nausea. Construct a 99% confidence interval for the
proportion of adverse reactions.
a) Find the best point estimate of the population proportion p.
(Round to three decimal places as needed.)
b) Identify the value of the margin of error E.
E=
(Round to three decimal places as needed.)
c) Construct the confidence interval
P
(Round to three decimal places as needed)
d) Write a statement that correctly interprets the confidence interval.
Choose the correct answer below.
A. One has 99% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion
B. One has 99% confidence that the sample proportion is equal to the population proportion.
C. 99% of sample proportions will fall between the lower bound and the upper bound
D. There is a 99% chance that the true value of the population proportion will fall between the lower bound and the upper bound
Answers
a) Population proportion is the sample proportion: p' = 108/4319 ≈ 0.025. b) 0.007. c) (0.018, 0.032) d) Option A is correct statement.
Describe standard normal distribution ?In statistics, the standard normal distribution is a normal distribution with a mean of 0 and a standard deviation of 1. It is also called the Z distribution, where Z represents the standard normal variable.
The standard normal distribution is a continuous probability distribution that is symmetric around the mean of 0. The shape of the distribution is bell-shaped, with the majority of the data falling within 3 standard deviations from the mean.
The standard normal distribution is widely used in statistics and probability theory as a benchmark for comparing other normal distributions. It is particularly useful for converting other normal distributions into a standardized form, which allows for easier comparison and analysis.
a) The best point estimate of the population proportion is the sample proportion: p' = 108/4319 ≈ 0.025.
b) The margin of error E is given by E = z* ×√(p'(1-p')/n), where z* is the critical value of the standard normal distribution for a 99% confidence level. Using a table or calculator, we find that z* ≈ 2.576. Substituting the given values, we have E ≈ 0.007.
c) The confidence interval is given by p' ± E, or 0.025 ± 0.007. Using a calculator, we find that the lower bound is approximately 0.018 and the upper bound is approximately 0.032. Therefore, the 99% confidence interval for the proportion of adverse reactions is (0.018, 0.032).
d) A. One has 99% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion.
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List the sample space for rolling a fair 12-sided die.
S = {1, 2, 3, 4, 5, 6}
S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}
S = {1}
S = {12}
Answers
The sample space for rolling a fair 12-sided die is S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}.
What is Sample space?Sample space refers to the set of all possible outcomes or events that can occur in an experiment or random process. It is denoted by the symbol "S" and contains all the possible values, results, or states that can be observed or measured. In probability theory, the sample space is used to define the range of possible outcomes that can be observed or measured in a given experiment or event.
What is probability?Probability is a measure of the likelihood or chance of an event occurring. It quantifies the likelihood of an event happening based on the ratio of the number of favorable outcomes to the total number of possible outcomes. It is expressed as a value between 0 and 1, where 0 represents an impossible event and 1 represents a certain event.
According to the given information:
When you roll a 12-sided dice, number of dots on the uppermost face is called as outcome. Now, whenever a dice is rolled we can get either 1, 2,3,4,5,6,7,8,9,10,11 or 12 dots on the uppermost face that is now outcome.
So experiment here is "Rolling a 12-faced dice" and list of possible outcomes is "{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}".
Sample space by its definition is list of all the possible outcomes of an experiment.
S={1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}.
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3. Find the composition (f ∘ g)(–2) for the functions f(x) = 2x + 1 and g(x) = x2 – 3.
SHOW YOUR WORK PLEASE
Answers
The composition (f ∘ g)(–2) = 3.
What is Function ?
In mathematics, a function is a relation between two sets of values, where each value in the first set (called the domain) is associated with exactly one value in the second set (called the range). A function can be represented by a formula or an equation, which specifies how the input values are transformed into output values.
To find the composition (f ∘ g)(–2), we need to apply the function g to –2 first, and then apply the function f to the result. Here's how we can do it:
First, we need to find g(–2) by substituting –2 for x in the expression for g(x):
g(–2) = (–2)2 – 3
g(–2) = 4 – 3
g(–2) = 1
Now that we have found g(–2) = 1, we can substitute it for x in the expression for f(x) to find f(g(–2)):
f(g(–2)) = 2(1) + 1
f(g(–2)) = 3
Therefore, the composition (f ∘ g)(–2) = 3.
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Answer all the questions to get 60 points
Answers
Here's a possible figure of Nathan's scalene, obtuse triangle:
bash
Copy code
/|
/ |
7 / | 6
/ |
/____|
5
In this triangle, all sides have different lengths. Also, one angle of the triangle is obtuse, meaning it is greater than 90 degrees.
Squares and rectangles are similar in that they both have four sides, four angles, and opposite sides that are parallel. They are different in that squares have all sides of equal length, while rectangles have opposite sides of equal length.
A right trapezoid is similar to a square in that it has two pairs of parallel sides. However, a right trapezoid has only one pair of opposite sides that are congruent and four right angles, whereas a square has all sides congruent and four right angles.
Here's a possible isosceles trapezoid:
markdown
Copy code
6
_______
| |
| |
|_______|
10
An isosceles trapezoid has two parallel sides of equal length and two non-parallel sides of different lengths. The two angles between the parallel sides are congruent, as are the two angles between the non-parallel sides.
A regular pentagon has five sides of equal length and five angles of equal measure. All internal angles of a regular pentagon measure 108 degrees.
The attributes of a regular hexagon include having six sides of equal length and six angles of equal measure, which is 120 degrees. All six internal angles of a regular hexagon are congruent, and the sum of all internal angles is 720 degrees. An irregular hexagon, on the other hand, has sides and angles of different measures.
The shape shown in question 9 is a rhombus. A rhombus has four sides of equal length and opposite angles that are congruent. All four internal angles of a rhombus measure 90 degrees.
I already answered this in question 8.
Please someone help me I rlly don’t get this I’ll give you like 40 points
Answers
Answer:
Step-by-step explanation:
H(n)=91x(-1/7) n-1
do not know
Hope it helps the answer is the 2nd one have a great day
Write an equation for H, the number of times Noah’s beats in m minutes?
Answers
The equatiοn fοr H, the number οf times Nοah’s beats in m minutes is H = k * m
What is the equivalent expressiοn?Expressiοns that perfοrm the same functiοn regardless οf appearance are said tο be equivalent. If twο algebraic expressiοns are equivalent, then they have the same value when the same variable value is used.
Assuming yοu meant "Nοah's heart beats", the equatiοn fοr H, the number οf times Nοah's heart beats in m minutes can be given by:
H = k * m
where k is a cοnstant that represents the number οf heartbeats per minute.
The value οf k may vary depending οn the individual and their physical cοnditiοn.
Hence, the equatiοn fοr H, the number οf times Nοah’s beats in m minutes
is H = k * m
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Complete Question;
A persons resting heart rate is typically between 60 and 100 beats per minute. Nοah looks at his watch, and counts 8 heartbeats in 10 seconds.
Is his heart rate typical? Explain how you know.
Write an equation for h, the number of times Noahs heart beats (at this rate) in m minutes.
Using these limitations, determine the distance from the coal tray if the coal tray is 25 inches in width and when y = 0.685. Please see screenshot
Answers
Therefore, the distance from the coal tray is approximately 301.96 inches when the heat intensity is 0.685 and the width of the coal tray is 25 inches.
How is distance determined?We can write the following using the formula in the question:
[tex]P = 100/(1 + d^2)[/tex]
where d represents the proportion of the food's distance from the coals to the tray's width.
Substituting d = z/25 results in:
[tex]P = 100/(1 + (z/25)^2)[/tex]
With y = 0.685, we can replace P with P = 0.685 and find z:
[tex]0.685 = 100/(1 + (z/25)^2)[/tex]
By dividing the two sides by [tex](1 + (z/25)^2)[/tex], we get at:
[tex]0.685 + 0.685(z/25)^2 = 100[/tex]
If we simplify, we get:
[tex](z/25)^2 = (100/0.685) - 1(z/25)^2 = 145.9854[/tex]
When we square the two sides, we obtain:
[tex]z/25 = 12.0783z = 25*12.0783z = -25*12.0783[/tex]
Given that z cannot be negative, we decide:
Z=25 * 12.0783 * 301.9575 inches
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Test for associativity:
Answers
The associative law holds in all three composition tables.
No matter how they are arranged, integers can be multiplied and added together according to the associative property. We refer to the numbers in the parenthesis as grouping (). Let's imagine that you are adding three integers, 2, 5, and 6. It doesn't matter how we add the numbers together—using the formulas 2 + (5 + 6) or 2 + (5) + 6—the outcome will be the same. The multiplication equation is consistent: Equals to (2 x 5) x 6 is (2 x 5) x 6. The commutative characteristic is almost identical to this one when only two integers are used.
In the given composition tables the law of associativity is followed
a(bc) = (ab)c
from 13,
a(a) = bc
a = a
The associative law holds in all three composition tables
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Determine the x- and y- intercepts for the graph defined by the given equation.
y = x + 8
a.
x-intercept is (0, 8)
y-intercept is ( -8, 0)
c.
x-intercept is ( -8, 0)
y-intercept is (0, 8)
b.
x-intercept is (0, -8)
y-intercept is ( 8, 0)
d.
x-intercept is ( 8, 0)
y-intercept is (0, -8)
Please select the best answer from the choices provided
Answers
Answer:
c
Step-by-step explanation:
To find the x-intercept, we set y to 0 and solve for x:
0 = x + 8
x = -8
Therefore, the x-intercept is -8.
To find the y-intercept, we set x to 0 and solve for y:
y = 0 + 8
y = 8
Therefore, the y-intercept is 8.
Hopes this helps
Evaluate the following expression
6^-3
Answers
Answer:
Exact Form: 1/216
Step-by-step explanation:
Inga is solving 2x2 + 12x – 3 = 0. Which steps could she use to solve the quadratic equation? Select three options. 2(x2 + 6x + 9) = 3 + 18 2(x2 + 6x) = –3 2(x2 + 6x) = 3 x + 3 = Plus or minus StartRoot StartFraction 21 Over 2 EndFraction EndRoot 2(x2 + 6x + 9) = –3 + 9
Answers
The three options given in the question are not the correct steps to solve the given quadratic equation.
What is quadratic equation?
A quadratic equation is a polynomial equation of the second degree, meaning it contains at least one term that is squared (raised to the power of 2).
The three steps that Inga could use to solve the quadratic equation [tex]2x^2 + 12x - 3 = 0[/tex] are:
1.Rewrite the equation in the form [tex]ax^2 + bx + c = 0[/tex], where a, b, and c are constants: [tex]2x^2 + 12x - 3 = 0.[/tex]
2.Use the quadratic formula x = [-b ± sqrt([tex]b^2[/tex] - 4ac)]/2a, where a = 2, b = 12, and c = -3, to find the values of x:
x = [-12 ± [tex]\sqrt{(12^2 - 4(2)(-3))[/tex]]/(2*2)
x = [-12 ± [tex]\sqrt{(156)[/tex]]/4
x = (-3 ± [tex]\sqrt{(39)[/tex])/2
3.Simplify the roots if possible:
x = (-3 + [tex]\sqrt{(39)[/tex])/2 or x = (-3 - [tex]\sqrt{(39)[/tex])/2
Therefore, the three options given in the question are not the correct steps to solve the given quadratic equation.
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Find the unknown length in the right
triangle.
?
11ft
23ft
Answers
ANWSER FOR QUESTION 12
75 points and will give brainly
Answers
Answer:
90°
Step-by-step explanation:
Since CD is a tangent to circle B and BA is the circle's radius, the tangent to the radius forms a right angle at the point of contact:
∠BAD = 90°
138 x 14÷28+209
A. 278
B. 288
C. 298
D. 388
Answers
Answer:
A .278
Step-by-step explanation:
138 x 14÷28+209 = 1932 ÷28+209=69+209=278
Simple Intrest Rate
3.25%
Martin deposits $7,000 in an account at Victory Bank. Find the amount of interest earned and the total value of his account after 36 months.
Answers
The total value of Martin's account after 36 months is $7,682.50. $682.50 in interest was earned.
Rosa and Clarice have left over bread. They are making sandwiches for the custodian, librarian, office staff. How many sandwiches will they be able to make?
Answers
Without the exact Number of bread slices and people in each category, we cannot determine the specific number of sandwiches Rosa and Clarice can make
Step 1: Identify the number of leftover bread slices.
Unfortunately, the question doesn't provide the exact number of leftover bread slices. Let's assume Rosa and Clarice have "B" bread slices in total.
Step 2: Determine the number of sandwiches needed.
We know that they are making sandwiches for the custodian, librarian, and office staff. We need to know the number of people in each category to calculate the total number of sandwiches required. Since this information is not provided, let's assume there are "C" custodians, "L" librarians, and "O" office staff members.
Step 3: Calculate the number of sandwiches required.
Each sandwich typically requires 2 slices of bread. Therefore, the total number of sandwiches required can be calculated using the following formula:
Total Sandwiches = (C + L + O)
Step 4: Determine if there is enough bread.
We can now compare the total number of sandwiches required with the number of bread slices available. If there are enough bread slices (B >= 2 * Total Sandwiches), Rosa and Clarice can make sandwiches for everyone. Otherwise, they will not be able to make enough sandwiches for everyone.
In conclusion, without the exact number of bread slices and people in each category, we cannot determine the specific number of sandwiches Rosa and Clarice can make. To answer the question accurately, please provide the missing information.
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You received a score of 3.4 on your annual review. Merit increases are given out starting at .5% at a score of 2.6 and it goes up 1% every .4 points. I will be receiving an increase of?
Answers
Answer: w/explanation
To calculate your merit increase, we need to first determine your performance score on a scale of 0 to 100. We can convert your score of 3.4 to this scale by subtracting 2 and multiplying by 25:
performance score = (3.4 - 2) x 25 = 35
Now that we have your performance score, we can use the given merit increase formula to calculate your increase:
Merit increase = (performance score - 26) / 4
Merit increase = (35 - 26) / 4
Merit increase = 2.25%
Therefore, your merit increase is 2.25%.
Write equation of the graph Below. (EASY! 10 Points)
Answers
Explanation
We know a parabola the opens “down” if ax^2 is < 0 (negative).
So we eliminate options B and C that are +
A.
- x^2 + 5 = 0
add x^2 to both sides to isolate variable
-x^2 + x^2 + 5 = 0 + x^2
Simplify
5 = x^2
Take square root of both sides
√5 = √x^2
+ - 2.236 = x
The given graph shows the line crossing the x axis at just over +2 and -2 so
A) -x^2 + 5 is the correct solution
I graphed it to prove my solution
How many three-letter passwords can be formed from the letters {A, B, J, K, X, Z} under the following circumstances. (a) If a letter can be repeated? three-letter passwords (b) If a letter cannot be repeated? three-letter passwords
Answers
The required password for different conditions are 216 and 120.
How to make the password with latter?(a) If a letter can be repeated, then we can use the multiplication principle to determine the number of possible passwords. For each of the three positions in the password, there are six choices of letters. Therefore, the total number of possible passwords is:
[tex]$6^3 = \boxed{216}$[/tex]
(b) If a letter cannot be repeated, then we can use the permutation formula to determine the number of possible passwords.
There are six choices for the first letter, five choices for the second letter (since one letter has already been used), and four choices for the third letter (since two letters have already been used). Therefore, the total number of possible passwords is:
[tex]$P(6,3) = 6 \times 5 \times 4 = \boxed{120}$[/tex]
Thus, required password for different conditions are 216 and 120.
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Find the middle term of the expansion of (2x/y^3)^12
Answers
To find the middle term of the expansion of (2x/y^3)^12, we need to first determine the number of terms in the expansion.
Using the formula for the binomial theorem, we know that the number of terms in the expansion of (2x/y^3)^12 is 13.
Now, to find the middle term, we need to find the term that is in the middle of the expansion. Since there are 13 terms in the expansion, the middle term is the 7th term.
The general term of the expansion is given by:
T(r+1) = (12 C r) (2x)^r (y^-3)^(12-r)
So, the 7th term is:
T(8) = (12 C 7) (2x)^7 (y^-3)^(5)
Simplifying this expression, we get:
T(8) = (792) (128x^7 / y^15)
Therefore, the middle term of the expansion is 792(128x^7/y^15)
Find the value of x.
Answers
Answer:
23°
Step-by-step explanation:
46 = 2x (Vertically opp. angles)
x = 46÷2
x = 23
Hope this helps!
pls like and mark as brainliest
Answer:
x = 23°
Step-by-step explanation:
46 = 2x
46/2 = 2x/2
x = 23°