Find the measures of the angles in each triangle.

Answer: x = 14

Step-by-step explanation:

The coordinates of the image of the parallelogram ABCD after the transformations are A''(-2,-3), B'(3, -3), C'(2, 3) and D'(-3, 3)

The coordinates of the parallelogram ABCD are given as:

A(−2, 3), B(3, 3), C(2, −3) and D(−3, −3)

When reflected across the y-axis, the rule of transformation is:

(x,y) -> (-x,y)

So, we have:

A'(2, 3), B'(-3, 3), C'(-2, -3) and D'(3, −3)

When rotated by 180 degrees, the rule of transformation is:

(x,y) -> (-x,-y)

So, we have:

A''(-2,-3), B'(3, -3), C'(2, 3) and D'(-3, 3)

Hence, the coordinates after the transformations are A''(-2,-3), B'(3, -3), C'(2, 3) and D'(-3, 3)

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Answer:

wheres tha rectangle

Step-by-step explanation:

To prove that this triangle is a right triangle, we need to check the side lengths using pythogoras theorem.

Given:

Putting the side lengths into pythogoras theorem:

Using the formula "(a + b)² = a² + 2ab + b²

Divide both sides by 625:

The value of x that proves this triangle a right triangle is 1.

x = 1

If it is a right angle triangle

→ (short side)² + (short side)² = (long side)²

====================================

as distance is positive

Answer:

60°

Step-by-step explanation:

→ Find the sum of the angles

70 + 70 + x + 50 + x + 50 = 2x + 240

→ Equate the expression to 360

2x + 240 = 360

→ Minus 240 from both sides

2x = 120

→ Divide both sides by 2

x = 60

Answer:

I'm going to assume the # is meant $, if that is the case then the trader made 8% profit

Step-by-step explanation:

200 out of 2500 is basically 200/2500. 200 divided by 2500 is 0.08, and to find the percent of a number you have to multiply it by ten (or just move the decimal two places to the right) 0.08 multiplied by 10 would give you 8, so the answer is 8 percent. Hope this helps!

Answer:

To calculate compounded interest, use the compound interest formula.

A(t)=P(1+rn)n⋅t

Recognize the information given in the problem.

P=2560,r=0.035,n=1,t=4

Substitute the values into the appropriate position in the formula.

A(4)=2560(1+0.0351)1⋅4

Simplify by multiplying and dividing by 1.

A(4)=2560(1+0.035)4

Simplify using the order of operations.

A(4)=$2,937.66

The balance at the end of 4 years would be $2,937.66.

Step-by-step explanation:

Answer:

x < 2

Step-by-step explanation:

|-7x+4| < 18
7x + 4 < 18
7x + 4 - 4 < 18 - 4
7x < 14
7x/7 < 14/7
x < 2

im not sure if this is right but this is what i got.

Answer:

1. 0.047, 0.453

2. 343

Step-by-step explanation:

The confidence interval regarding the veterinarian will be (0.045, 0.455).

Sample success = 10

Sample size = 40

Pt estimate = 10/40 = 0.25

Standard error = 0.0685

The corresponding interval is (0.045, 0.455).

The sample size that the veterinarian should use to achieve a margin of error will be:

Margin of error = 0.08

Critical Z = 3.0

Estimated proportion = 0.5

Sample size = p × (1-p) × (z/e)²

= 0.5 × (1-0.5) × (3/0.08)²

= 352

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Answer:

3(x-6)+9=27

Step-by-step explanation:

1. Multiply 3 to x-6

3x-18+9=27

2. add -18 and 9

3x-9=27

3. add 9 to 27

3x=36

4. Divide 36 and 3

x=12

Answer:

[tex]\huge\boxed{\sf 9300\ m\²}[/tex]

Step-by-step explanation:

The figure is made up of:

Formula for area of rectangle:

Formula for Area of triangle:

Area of rectangle:

Length = 90 m

Width = 70 m

= Length × Width

= 90 × 70

= 6300 m²

Area of Triangle:

Base = 170 - 70 = 100 m

Height = 90 - 30 = 60 m

[tex]\displaystyle =\frac{1}{2} (Base)(Height)\\\\= \frac{1}{2} (100)(60)\\\\= (50)(60)\\\\= 3000 \ m^2[/tex]

Total Area of the figure:

= Area of the rectangle + Area of the triangle

= 6300 + 3000

= 9300 m²

[tex]\rule[225]{225}{2}[/tex]

Answer:

The difference in Quartile 3 and Quartile 1.

Answer:

Step-by-step explanation:

1.)  H (greater than or equal to) 36in

2.) N (Less than or equal to) 1200

3.) A (greater than or equal to) 13

[tex]\huge\fcolorbox{blue}{aqua}{Answer:}[/tex]

═════════════════════

Answer: =A.[tex]x = - 3[/tex] [tex]x = - 4[/tex]

Solution:

[tex]x ^ { 2 } +7x=-12[/tex]

[tex]x^{2}+7x+12=0 [/tex]

[tex]a+b=7 ab=12 [/tex]

[tex]1,12 2,6 3,4 [/tex]

[tex]1+12=13 2+6=8 3+4=7 [/tex]

[tex]a=3 b=4 [/tex]

[tex]\left(x+3\right)\left(x+4\right) [/tex]

[tex]x = -3[/tex] , [tex]x = -4[/tex]

════════════════════

Explanation:

#Carry on learning

Answer:

the angle is equal to 60 degree

Answer:

See below.

Step-by-step explanation:

A. First equation is

q + n = 14      

then we have

0.25q + 0.05n = 2.5

Multiply last equation by -20

-5q - n = -50     Now add this to the first equation

-4q + 0 = -36

B.  q = -36/-4 = 9.

D  Substitute for q in the  first equation

9 + n = 14

n = 14 - 9 = 5.

So the solution to the system is  q = 9, n = 5.

E Verify  this solution by substituting in the second equation:

0.25(9) + 0.05(5)

= 2.25 + 0.25 = 2.50.

- verified.

F.  9 quarters and 5 nickels.

Answer:

31/40

Step-by-step explanation:

Given expression:

[tex]\dfrac{2}{5} + \dfrac{3}{8}[/tex]

Note: Both fractions must have same denominators if we want to perform addition, subtraction, multiplication, or division.

The only way to simplify this expression is to have a common denominator, which can be determined by the LCM of 5 and 8.

Multiply the denominators with such a number that is equivalent to 40.

Note: The number you are multiplying should also be multiplied to the numerator.

[tex]\rightarrow \dfrac{2 \times 8}{5 \times 8} + \dfrac{3 \times 5}{8 \times 5}[/tex]

[tex]\rightarrow \dfrac{16}{40} + \dfrac{15}{40}[/tex]

Finally, simplify the expression to determine the solution.

[tex]\rightarrow \dfrac{31}{40}[/tex]

Since 31 is a prime number, we can't simplify this fraction. Thus, the final answer is 31/40.

Ah yes, adding fractions! Adding fractions can be a bit of a pain.

So, we have  [tex]\frac{2}{5} + \frac{3}{8}[/tex].

To add fractions, the bottoms, or denominators, must be the same number. So we must multiply the fractions by certain numbers to make the denominators the same number. So let's go easy and make the denominator 40, because 8 goes into 40 and so does 5. So, to make 8 become 40, we'll multiply the whole fraction by 5. For 5, we'll multiply by 8.

[tex]5 * \frac{3}{8} = \frac{15}{40}[/tex]

[tex]8 * \frac{2}{5} = \frac{16}{40}[/tex]

Now we'll add the two fractions. When we add fractions we only add the tops, the numerators.

[tex]\frac{15}{40}+\frac{16}{40} = \frac{31}{40}[/tex]

Then we must reduce (or try to reduce). This fraction cannot be reduced, so the answer is simply  [tex]\frac{31}{40}[/tex].

I hope this helps you understand.

-Toremi

The annual percentage rate (APR) for the Payans is the yearly interest rate that's generated by a sum charged to borrowers.

Your information is incomplete as the values aren't given. Therefore, an overview will be given. Here, the APR is the cost that one has to pay to borrow money and it's expressed as a percentage.

Also, the mortgage payment is made up of the principal and the interest payments. It's how one will pay back their home loan.

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Answer:

1237.18

Step-by-step explanation:

Answer:

7 3/4

Step-by-step explanation:

Method 1:

Step 1: Instead of subtracting you distribute the minus sign to the number in the parenthesis

4 1/2 - (-3 1/4) = 4 1/2 + 3 1/4

Step 2: Then you can just add

4 1/2 + 3 1/4= 7 3/4

Method 2:

If you dont know fractions transfer them into decimals. 1/2 = 0.5 and 1/4 = 0.25

Step 1: Instead of subtracting you distribute the minus sign to the number in the parenthesis

4.5 - (-3.25) = 4.5 + 3.25

Step 2: Add the numbers

4.5 + 3.25= 7.75

Step 3: Convert the decimal back into a fraction

7.75= 7 3/4

Given :  4(8 + 3x)

To Find : Describe the two factors in this expression

How many terms are in each factor of this expression

coefficient of the variable term

Solution:

4(8 + 3x)  

two factors in this expression  are

4  and ( 8 + 3x)

terms in each factor of this expression

1 term in 4

2 terms in (8 + 3x)

coefficient of the variable term is 3   in factorized form

4(8 + 3x) =   32 + 12x

and coefficient of the variable term is 12   in expanded form

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Answer:

Mode = none, Median = 2.5, Mean= 2.5

Step-by-step explanation:

Hope this helps! :)

Step-by-step explanation:

the mode is the data item that occurres the most often.

but in 4, 5, 0, 2, 3, 1 every number appears only once. so, the mode is 0, 1, 2, 3, 4, 5 (as special case this average number can have more than one value - like in our case here).

the median is the value in the data set that lies directly in the middle between the other values (half of them are higher, the other half is lower).

if our data set has an even number of data points, or there is no unique middle value for other reasons, then the median is the mean value of the 2 middle values.

in our case 2 and 3 are the 2 middle values, so the median is (2+3)/2 = 2.5

the mean value is directly the average value across the whole data set : the sum of all values divided by the number of values.

(0+1+2+3+4+5)/6 = 15/6 = 2.5

the range is the difference between the highest and the lowest value in the data set : 5 - 0 = 0

Answer:

39

Step-by-step explanation:

percentage=part/total x 100

54= 21 / total x 100

total=38.88 = 39

Convert into vertex form y=a(x-h)²+k

After calculating

Vertex at

Max height=42.3m

Graph attached

Answer:

x≤k

Step-by-step explanation:

k= how many oz. Kiran drank. -Crispin

Answer:

[tex]50\; {\rm ft} \times 50\; {\rm ft}[/tex] would maximize the area for a rectangle with the given circumference of [tex]200\; {\rm ft}[/tex]. (Note, that a circle of the same circumference would have an even larger area.)

Step-by-step explanation:

Assume that the base of the house is a rectangle. Let the length of the two sides be [tex]x\; {\rm ft}[/tex] and [tex]y\; {\rm ft}[/tex], respectively. The goal is to find the [tex]x[/tex] and [tex]y[/tex] that:

[tex]\begin{aligned} \text{maximize} \quad & x\, y \\ \text{subject to} \quad & 2\, (x + y) = 200 \\ & x > 0 \\ & y > 0 \end{aligned}[/tex].

Using the equality constraint [tex]2\, (x + y) = 200[/tex] (or [tex]x + y = 100[/tex]), the variable [tex]y[/tex] could be replaced with [tex](100 - x)[/tex] to obtain an equivalent problem of only one variable:

[tex]\begin{aligned} \text{maximize} \quad & x\, (100 - x) \\ \text{subject to} \quad & x > 0 \\ & (100 - x) > 0 \end{aligned}[/tex].

Simplify to obtain:

[tex]\begin{aligned} \text{maximize} \quad & -x^{2} + 100\, x \\ \text{subject to} \quad & x > 0 \\ & x < 100 \end{aligned}[/tex].

The objective function of this problem is [tex]f(x) = -x^{2} + 100\, x[/tex]. Derivatives of this function include

Since [tex]f^{\prime\prime}(x)[/tex] is constantly less than [tex]0[/tex], [tex]f(x)[/tex] is concave and would be maximized when [tex]f^{\prime}(x) = 0[/tex].

Setting [tex]f^{\prime}(x) = -2\, x + 100[/tex] to [tex]0[/tex] and solving for [tex]x[/tex] gives:

[tex]-2\, x + 100 = 0[/tex].

[tex]x = 50[/tex].

Notice that [tex]x = 50[/tex] satisfies both constraints: [tex]x > 0[/tex] and [tex]x < 100[/tex]. Therefore, [tex]x = 50[/tex] is indeed the solution that maximizes the area [tex]f(x) = -x^{2} + 100\, x[/tex] while at the same time meeting the requirements.

With the length of one side being [tex]x = 50[/tex] ([tex]50\; {\rm ft}[/tex],) the length of the other side would be [tex]100 - x = 50[/tex] ([tex]50\; {\rm ft}\![/tex].) Hence, a rectangular house of dimensions [tex]50\; {\rm ft} \times 50\; {\rm ft}[/tex] would maximize the area under the given requirements.

The appropriate values of n and r are illustrations of permutation.

The values of n and r are 75 and 10, respectively

From the question, we have the following parameters:

The above means that:

n = 75

r = 10

This can be interpreted as:

Arrange 10 songs from a list of 75 songs

Hence, the appropriate values of n and r are 75 and 10, respectively

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78 students went on a field trip. They went by van or car. The total number of cars and vans were 10. Each car held 5 students and each van held 12 students. How many cars and how many vans went on the field trip?

Let the number of cars be "x" and the number of vans be "y".

According to question,

x + y = 10 5x + 12y = 78 -->(ii)

=> 5(x + y) = 10 × 5

=> 5x + 5y = 50 -->(i)

By Elimination method,

Equation (i) - (ii) we get,

(5x + 5y) - (5x + 12y) = 50 - 78

=> 5x + 5y - 5x - 12y = - 28

=> - 7y = - 28

=> 7y = 28

=> y = 28/7

=> y = 4

Putting the value of "y" in Equation (i)

5x + 5y = 50

=> 5x + 5 × 4 = 50

=> 5x + 20 = 50

=> 5x = 50 - 20

=> 5x = 30

=> x = 30/5

=> x = 6

The total number of cars went = 6

The total number of vans went = 4

====================================================

168 students went on a field trip. They took a total of 10 vans and buses. Each bus held 42 students, and each van held 6 students. How many vans went on the field trip?

Solution:

Let the number of buses be "x" and the number of vans be "y".

According to question,

x + y = 10 42x + 6y = 168 -->(ii)

=> 42(x + y) = 10 × 42

=> 42x + 42y = 420 -->(i)

By Elimination method,

Equation (i) - (ii)

(42x + 42y) - (42x + 6y) = 420 - 168

=> 42x + 42y - 42x - 6y = 252

=> 36y = 252

=> y = 252/36

=> y = 7

Putting the value of "y" in Equation (ii)

42x + 6y = 168

=> 42x + 6 × 7 = 168

=> 42x + 42 = 168

=> 42x = 168 - 42

=>42x = 126

=> x = 126/42

=> x = 3

Total number of buses went = 3

Total number of vans went = 7

Answer:

1.

First, I would solve for ACB.

Calculations:

63° = y?

I would do that because I know that angle 'y' is vertical to 63°, which is given. (Also vertical angles are congruent, meaning that the measure the same degrees).

2.

Second, I would solve for BAC.

Calculations:

x + 63 + 85 = 180

x + 148 = 180

-148        -148

x = 32°

I would do that because I know that there are two given angles so I could easily solve for the leftover angle, 'z', using the a + b + c = 180° formula.

3.

Next, I would solve for CED.

Calculations:

x + 130 = 180

-130        -130

x = 50°

I would do that because I know finding this angle will help me find angle CDE.

4.

Finally, I would solve for CDE.

Calculations:

x + 63 + 50 = 180

x + 113 = 180

-113        -113

x = 67°

I would do that because I know there are now two given angles so I could easily solve for the leftover angle, x, using the a + b + c = 180° formula.

Answer: ok well the answer is 631 if it were rounded it would be 630

Now if u mean those 2 numbers they would be 259:260 and 372:370 there hope it helps bye!

Answer: the answer is 2042 or C

Step-by-step explanation:

Answer:

2042

Step-by-step explanation:

took the test