16. Higher Order Thinking
a. Find the value of x given that rls.
m21 = (63 - x)º
m22 = (72 - 2x)
2
b. Find mz1 and m22.
Answers
Answer:
[tex]\red{ \bold{m \angle \: 1 = 54 \degree}} \\\: \purple{ \bold{m \angle \: 2 = 54 \degree}} [/tex]
Step-by-step explanation:
[tex](a) \: \: \: \\ r || s \: \: \: (given) \\ \implies \: m \angle \: 1 = m \: \angle \: 2 \\ (corresponding \: \angle s) \\ \implies \: (63 - x) \degree = (72 - 2x) \degree \\ \implies \: 63 - x = 72 - 2x \\ \implies \: 2x - x = 72 - 63 \\ \implies \: \huge \orange{ x = 9} \\ \\ (b) \\ m \angle \: 1 = (63 - x) \degree \\ \implies \: m \angle \: 1 = (63 - 9) \degree \\ \implies \: \red{ \bold{m \angle \: 1 = 54 \degree}} \\ \implies \: \purple{ \bold{m \angle \: 2 = 54 \degree}} \\ ( \because \: m \angle \: 1 = m \: \angle \: 2)[/tex]
Related Questions
A new washing machine is purchase by the hamilton family it cost 324.50 how much will the washing machine cost after 6% sales tax is
applied
Answers
Answer:
343.97
Step-by-step explanation:
price of vending machine is 100% = 324.50
100% + 6% sales tax = 106%=1.06
324.50*1.06
343.97
If the slope of a line is 4/5, does the line rise (from left to right), fall (from left to right), horizontal or vertical?
Answers
slope: 4/5 is a positive slope
positive slopes rises from left to rightpositive slopes falls from right to leftneither horizontal or vertical.The picture below shows some examples of equation with positive slope.
Answer:
rise from left to right
Step-by-step explanation:
Linear equation: [tex]y=mx+b[/tex]
(where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept)
Positive slope: rise from left to right
[tex]m[/tex] is a positive number
[tex]\textsf{e.g.}\:y=\dfrac45x+4[/tex]
Negative slope: fall from left to right
[tex]m[/tex] is a negative number
[tex]\textsf{e.g.}\:y=-\dfrac45x+4[/tex]
Zero slope: horizontal line
[tex]m=0[/tex]
[tex]\textsf{e.g.}\:y=0x+\dfrac45\implies y=\dfrac45[/tex]
Therefore, a horizontal line is [tex]y = a[/tex] (where [tex]a[/tex] is some constant)
Infinite slope: vertical line
[tex]m= \infty[/tex]
[tex]\sf slope\: (m)=\dfrac{change\:in\:y}{change\:in\:x}[/tex]
There is no change in x-values for a vertical line, so:
[tex]\sf \implies slope=\dfrac{change\:in\:y}{0}=\infty[/tex]
We also usually call the slope of this line undefined.
Therefore, a vertical line is [tex]x = a[/tex] (where [tex]a[/tex] is some constant)
---------------------------------------------------------------------------------
Attached graph:
Positive slope: black line
Negative slope: blue line
Zero slope: green line
Infinite slope: red line
Please help I will give
BRAINLY
a THANKS
and FIVE STARS
Answers
Answer:
day 26
Step-by-step explanation:
just multiply the numbers
Answer:
Complete the following statement.Of the three pools described, Model_______ needs the largest amount of water to be completely filled. B A C. 2. See answers.
2 answers
·
1 vote:
Answer: A Step-by-step explanation: It because of The Width and Depth
Missing: ___ ____ drew net pyramid,
Step-by-step explanation:
GIVING BRAINLEST TO THE PERSON THAT CAN EXPLAIN HOW TO DO THIS THE BEST :)
Answers
Answer:
I think area will me 24 sq unit
Explanation:
AC=6
BD=8
1/2 × 8 × 6 = 24
The answer is 24units or the second selection.
100 Points!!!! Please Show Steps!
1. Given f(x)=x^2 - 2 and g(x) =4x + 1 Find
a. f(g(x))
b. g(f(x))
Answers
Go from right to left in such function questions
a. f(g(x))
⇒ f(4x + 1)
⇒ (4x + 1)² - 2
⇒ 16x² + 8x + 1 - 2
⇒ 16x² + 8x - 1
b. g(f(x))
⇒ g(x² - 2)
⇒ 4(x² - 2) + 1
⇒ 4x² - 7
Answer:
[tex]f[g(x)]=16x^2+8x-1[/tex]
[tex]g[f(x)]=4x^2-7[/tex]
Step-by-step explanation:
Given functions:
[tex]f(x)=x^2 - 2[/tex]
[tex]g(x) =4x + 1[/tex]
[tex]f[g(x)][/tex] means to substitute g(x) in place of x in f(x):
[tex]\begin{aligned}\implies f[g(x)] & =[g(x)]^2-2\\ & =(4x+1)^2-2\\ & = (4x+1)(4x+1)-2\\ & = 16x^2+8x+1-2\\ & = 16x^2+8x-1\end{aligned}[/tex]
[tex]g[f(x)][/tex] means to substitute f(x) in place of x in g(x):
[tex]\begin{aligned}\implies g[f(x)] & =4[f(x)]+1\\ & = 4(x^2-2)+1\\ & = 4x^2-8+1\\ & = 4x^2-7\end{aligned}[/tex]
46. 3 Divided 1. 5 I can't find the answer on this question
Answers
Answer:
30.8666666666666...(repeating 6)
Step-by-step explanation:
46.3/1.5=30.8666666666....
area = 756 cm^2
h = 18 cm
a = 39 cm
b = ?
Answers
Answer:
given,
area= 756cm^2
h = 18cm
a = 39cm
then,
area = (a+b)h/2
756 = (39+b)18/2
756= 351+9b
756-351= 9b
405 = 9b
405/9= b
b = 45cm
how many solutions does −5x+12=−12x−12
Answers
Exact Form:
x= -24/7
decimal= -3.42…
Mixed Number Form:-3 3/7
help me PLEASEE i really don’t understand
Answers
Area = L^2
625 = L^2
L = √625
L= 25 m
Perimeter = 4L = 4 x 25 = 100 m
Answer = 100 meters
Can some one help me please I am not understanding this
Answers
Answer:
x = (-7.5,0)
y = (0,5.5)
Step-by-step explanation:
y = the vertical line
x = horizontal line
along the corridor, up the stairs - do the x axis first then the y axis which determines the spot of thenumbers
hope the helps :))
What is the value of y in the solution to this system of equations?
6y + x = negative59
x = negative2y + 9
Answers
Answer:
X=-8,Y=-8.5
Step-by-step explanation:
just substitute the second equation into the first one where x is and solve for y. Then playe value of y in second equation and get x.
Which value of x makes the following equation true?
2(x + 10) = x + 23
A.
3
B.
23
C.
13
D.
-7
Answers
Answer:
[tex]\Longrightarrow:\boxed{\sf{x=3}}[/tex]
Step-by-step explanation:
Isolate the term of x, from one side of the equation.
2(x+10)=x+23Use the distributive property.
Distributive property:
⇒ A(B+C)=AB+AC
2(x+10)
2*x=2x
2*10=20
2x+20=x+23
First, subtract by 20 from both sides.
2x+20-20=x+23-20
Solve.
Subtract the numbers from left to right.
23-20=3
2x=x+3
Then, you subtract by x from both sides.
2x-x=x+3-x
Solve.
[tex]\Longrightarrow: \boxed{\sf{x=3}}[/tex]
Therefore, the correct answer is x=3.Answer:
x = 3Option A is the correct answer .Step-by-step explanation:
In this question we're given with an equation that is 2(x + 10) = x + 23 and we are asked to find the value of x .
Solution : -
[tex] \longmapsto \: 2(x + 10) = x + 23[/tex]
Step 1 : Solving the parenthesis on left hand side :
[tex]\longmapsto \:2x + 20 = x + 23[/tex]
Step 2 : Subtracting 20 on both sides :
[tex]\longmapsto \:2x + \bold{ \cancel{20}} - \bold{ \cancel{20} }= x + \bold{23 - 20}[/tex]
On further calculations , we get :
[tex]\longmapsto \:2x =x + 3[/tex]
Step 3 : Subtracting x on both sides :
[tex]\longmapsto \:2x - x = \bold{ \cancel{x} }+ 3 - \bold{ \cancel{x}}[/tex]
On further calculations, we get :
[tex]\longmapsto \: \red {\boxed{{x = 3}}}[/tex]
Therefore, value of x is 3 .Now , we're verifying our answer by substituting the value of x in given equation :
2(x + 10) = x + 232 ( 3 + 10 ) = 3 + 232 ( 13 ) = 2626 = 26L.H.S = R.H.SHence, Verified .Therefore, our answer is correct.
#Keep LearningThe radius of a circular swimming pool is 7.8 meters. Which is closest to the circumference of this swimming pool?
f 48.98 m g 191.04 m h 24.49 m j 47.76 m
Answers
Answer:
F. 48.98 m
Step-by-step explanation:
What is circumference?
The circumference of a circle is the distance around the circle, otherwise known as the perimeter.The formula to find the circumference of a circle is 2πr, or if you're given the diameter, πdHow does it apply here?
We are asked to find the closest circumference given of the swimming pool. We are also given the radius of the pool as 7.8 meters.Solving
Step 1: Plug in your values.
[tex]2 * 3.14 * 7.8[/tex]Step 2: Simplify.
[tex](2*3.14)*7.8 = 6.28 * 7.8[/tex] [tex]6.28 *7.8 = 48.984[/tex] 48.984 ≈ 48.98Therefore, the correct answer is F. 48.98 meters.
If f(x) = 3x + 5 and g(x) = -2x - 5x+3, find (f + g)(x).
O A. (f+ g)(x) = -2x + 8
O B. (f + g)(x) = -4x + 8
OC. (f+ g)(x) = -2x2 + 8x+ 8
OD. (f + g)(x) = -2x2 - 2x + 8
Answers
Answer:
D. (f + g)(x) = -2x² - 2x + 8
Step-by-step explanation:
Given:
f(x) = 3x + 5g(x) = -2x² - 5x + 3Find (f + g)(x):
⇒ [tex]f(x) + f(g)[/tex]
⇒ [tex]3x + 5 + ( -2x^{2} - 5x + 3 )[/tex]
⇒ [tex]3x + 5 - 2x^{2} - 5x + 3[/tex]
Combine like terms:
⇒ [tex]-2x^{2} + 3x - 5x + 5 + 3[/tex]
⇒ [tex]-2x^{2} - 2x + 8[/tex]
Answer: D. (f + g)(x) = -2x² - 2x + 8
Which number of trials will yield an experimental probability that most closely matches the theoretical probability of the event?
A
40
0
20
С
30
D
50
Answers
Answer:
D. 50.
Step-by-step explanation:
50 trials . The greater the number of trials the closer will the experimental probability be to the theoretical.
Which of these is a nonlinear function
Answers
Answer:
C. y = 3/x + 1
Step-by-step explanation:
A linear function is, well, a line. The line goes on indefinitely without a stopping point.
In one of these functions, there is a line with a stopping point.
The function y = 3/x + 1 has a point that does not have a value, which is 0. 0 cannot be a value in a denominator. All of the other functions can be expressed at all values.
Graphical proof is attached. The function in green has a discontinuity at x = 0 and therefore is not linear.
Makati and his friends rolled two fair number cubes 500 times and recorded the sum of the numbers shown on the cubes each time. On 42 of the trails sum was 10. Which of these is fair number cubes are rolled
Answers
Answer:
1/2 anwser is B
Step-by-step explanation:
rolled 2 fair number 500 times right? okay so the sum is a number of anytotal added up correct?
it was shown on the cubes each time ,so you can assume wit 42+10=52?2=x well then just divide that by 500! wich is 1/2
75 ounces 5 pounds which one is greater
Answers
Answer:
5 pounds
Step-by-step explanation:
5 pounds is 80 ounces, which is greater then 75 ounces.
What is formula for Correlation of Karl's Pearson (Short-cut Mean Method)?
❥[tex] \huge { \mathfrak{\fbox{ \green{Correlation}}}}[/tex]
Answers
[tex]r = \frac{Σ(X-X)(Y-Y)}{\sqrt{Σ(X-X)²} \sqrt{(Y-Y)²}}[/tex]
Where, X-mean of X variable
Y - mean of Y variable
Simplify the expression
Answers
Step-by-step explanation:
here
=(81x^12/3x^3)1/3
=(3^4.x^12/3.x^3)1/3
=(3^4-1.x^12-3)1/3
=(3^3×1/3.x^9×1/3)
=3×x^3
Evaluate (1/1000)1/3. Express your answer as a fraction in the simplest form.
1/1000 is a fraction and so is 1/3 1/3 is also a power outside of the parenthesis.
Answers
Answer:
1/10
Step-by-step explanation:
(1/1000) ^ (1/3) means that you are trying to find ONE of the THREE equal factors of 1 and 1000
1³ = 1
10³ = 10000
so the answer is 1/10
or think of it like ∛ (1/1000) = 1/10
A relay race covers a distance of 2 1/2 miles. Each runner on the team will run 1/4 mile. How many runners are needed for the team to cover the total distance of the race?
Answers
Answer:
6
Step-by-step explanation:
10 runners
explanation:
1/4 x 10 = 2 1/2
HELP PLEASE!!! I WILL GIVE 25 POINTS
What is the slope of the line.
Answers
Use rise over run method. The line rises one block and runs one block.
Multiply and simplify. 11 18 × − 4 11
A) − 7 27
B) − 2 9
C) 5 9
D) 11 27
Answers
Answer:
B) − 2/9
Explanation:
[tex]\hookrightarrow \sf \dfrac{11}{18} * -\dfrac{4}{11}[/tex]
join both fractions
[tex]\hookrightarrow \sf \dfrac{11*-4}{18*11}[/tex]
simplify by multiplying
[tex]\hookrightarrow \sf \dfrac{-44}{198}[/tex]
simplify the following
[tex]\hookrightarrow \sf -\dfrac{2}{9}[/tex]
[tex]\bold{Heya!}[/tex]
→ Answer :-B) [tex]\sf{-\frac{2}{9}[/tex]→ EXPLANATION :[tex]\sf{\frac{11}{18}(-\frac{4}{11})[/tex]
Apply rule : [tex]\sf{a(-b) = -ab}[/tex]
[tex]\sf{\frac{11}{18}(-\frac{4}{11}) = -\frac{11}{18}[/tex] × [tex]\sf{\frac{4}{11}[/tex]
[tex]\sf{= -\frac{11}{18}[/tex] × [tex]\sf{\frac{4}{11}[/tex]
Cross - cancel common factor: [tex]\sf{11}[/tex]
[tex]\sf{= -\frac{4}{18}[/tex]
Factor the number: [tex]\sf{4 = 2}[/tex] × [tex]\sf{2}[/tex]
[tex]\sf{= -\frac{2 \: x \: 2}{18}[/tex]
Factor the number: [tex]\sf{ 18 = 2 \: x \: 9}[/tex]
[tex]\sf{= - \frac{2 \: x \: 2}{2 \: x \: 9}[/tex]
Cancel common factor: [tex]\sf{2}[/tex]
[tex]\sf{-\frac{2}{9}[/tex]
Hopefully This Helps ! ~
#LearnWithBrainly
[tex]\underline{Answer :}[/tex]
Jaceysan ~
Which function is the inverse of f(x) = 2x+ 3?
Answers
[tex]f(x) = y = 2x +3\\\\\text{Replace x with y and then solve for y:}\\\\~~~~~~~x= 2y+3 \\\\\implies 2y = x-3\\\\\implies y = \dfrac{x-3}2\\\\\implies f^{-1}(x)= \dfrac{x-3}2[/tex]
(24 +2)divide by 2 order operation
Answers
Answer:
13
Step-by-step explanation:
(24+2)/2 would be the expression.
PEMDAS so first complete the numbers in the Parantheseis:
(24+2)/2 = 26/2
Since there are no exponents or mulitplication, divide:
26/2 = 13
Hope this helps!
3.4k+(0.63−0.81k)÷0.9=5.7
Answers
Part I: Converting the terms into fraction form
Given equation:
3.4k + (0.63 - 0.81k) ÷ 0.9 = 5.7First, let's convert the terms (that are in decimals) into fractions.
3.4k = 34k/100.63 = 63/1000.81k = 81k/1000.9 = 9/105.7 = 57/10Replace the fraction forms in the equation:
3.4k + (0.63 - 0.81k) ÷ 0.9 = 5.734k/10 + (63/100 - 81k/100) ÷ 9/10 = 57/10Part II: Simplifying the division being performed
Since the expression in the parenthesis can't be simplified, we can open the parenthesis. Before we do that, we need to divide the expression by 9/10 (as division is third in BODMAS). This can be done by converting the divisor into it's reciprocal and changing the sign to a multiplication sign.
34k/10 + (63/100 - 81k/100) × 10/9 = 57/10Since there is no other division being performed, we can simplify the distributive property (as multiplication is fourth in BODMAS).
34k/10 + [63/100 × 10/9] - [81k/100 × 10/9] = 57/1034k/10 + [7/10] - [9k/10] = 57/1034k/10 + 7/10 - 9k/10 = 57/10Part III: Isolating "k" to determine it's value
Combine like terms as needed:
34k/10 + 7/10 - 9k/10 = 57/10k(34/10 - 9/10) + 7/10 = 57/1025k/10 + 7/10 = 57/10Subtract 7/10 both sides of the equation to isolate "x" and it's coefficient.
25k/10 + 7/10 - 7/10 = 57/10 - 7/1025k/10 = 50/10Cancel the denominators (as a/b = c/b ⇔ a = c)
25k/10 = 50/1025k = 50Divide both sides by 25 to isolate "k"
25k/25 = 50/25k = 2A company is considering adding a new ingredient to its bread recipe to increase the freshness of the bread. to study the impact of adding ingredient p, q, r, s, or t to the recipe, they baked 270 loaves of bread. some of the loaves contained no extra ingredients, while each of the rest contained one of the five new ingredients. the freshness of the bread was checked one week later, and the results were used to create the two-way tables below. which tables suggest an association between adding an extra ingredient and the freshness of the bread? select the three correct answers. a 3-column table with 2 rows titled effect of ingredient p on freshness. column 1 has entries contains the ingredient, does not contain the ingredient. column 2 is labeled stays fresh with entries 11, 4. column 3 is labeled does not stay fresh with entries 39, 16. a 3-column table with 2 rows titled effect of ingredient q on freshness. column 1 has entries contains the ingredient, does not contain the ingredient. column 2 is labeled stays fresh with entries 9, 4. column 3 is labeled does not stay fresh with entries 41, 16. a 3-column table with 2 rows titled effect of ingredient r on freshness. column 1 has entries contains the ingredient, does not contain the ingredient. column 2 is labeled stays fresh with entries 16, 4. column 3 is labeled does not stay fresh with entries 34, 16. a 3-column table with 2 rows titled effect of ingredient s on freshness. column 1 has entries contains the ingredient, does not contain the ingredient. column 2 is labeled stays fresh with entries 4, 4. column 3 is labeled does not stay fresh with entries 46, 16. a 3-column table with 2 rows titled effect of ingredient t on freshness. column 1 has entries contains the ingredient, does not contain the ingredient. column 2 is labeled stays fresh with entries 34, 4. column 3 is labeled does not stay fresh with entries 16, 16.
Answers
Answer:
Tables 3,4 and 5
Step-by-step explanation:
Answer on quizlet.
Answer:
h
Step-by-step explanation:
Help pls!!! No links pls and ty <33
A circle has a circumference of 51 centimeters. What is the circle's
diameter? Use 3.14 for pi and round your answer to the nearest tenth
Answers
Answer:
16.2
Step-by-step explanation:
just divide the circumference by 3.14
Answer:
diameter= 16.2338
Step-by-step explanation:
D = C/π
c means CircumferenceD means diameterπ means pi=> D = 51/3.14
D = 16.2338
D = 16.2
What would the monthly payment be for a $5,000 loan with a 6.25% interest rate compounded monthly spread over 60 months? a. $25.31 b. $97.25 c. $217.00 d. $320.95 please select the best answer from the choices provided a b c d
Answers
The monthly payment for a $5000 loan at a 5.25% rate is 97.25. Then the correct option is B.
What is a monthly payment?The term loan refers to a sort of credit vehicle in which a sum of money is lent to another party in exchange for the value or principal amount being repaid in the future.
The loan amount is $5000 with a rate of 6.25% over 60 months.
Then the monthly payment (MP) will be
[tex]r = \dfrac{0.0625}{12} = 0.0052[/tex]
Then the formula will be
[tex]\rm MP = P \times \dfrac{r(1+r)^n}{(1+r)^n - 1}\\[/tex]
P = $5000
r = 0.0052
n = 60
Then we have
[tex]\rm MP = P \times \dfrac{0.005208(1+0.005208)^{60}}{(1+0.005208)^{60} - 1}\\\\MP = 97.245 \approx 97.25[/tex]
More about the monthly payment link is given below.
https://brainly.com/question/14064255