Quadrilateral VWXY is a kite. Find the measure of angle W.

For ΔKXD, x = 21

"The triangles that have corresponding sides in proportion to each other and corresponding angles are equal."

For given question,

ΔAGM is similar to ΔKXD

This means,

[tex]\frac{AG}{KX} = \frac{GM}{XD} = \frac{AM}{KD}[/tex]

Consider,

⇒ [tex]\frac{AG}{KX} = \frac{GM}{XD}[/tex]

⇒ [tex]\frac{32}{x+3} = \frac{36}{x+6}[/tex]

⇒ [tex]32\times (x+6) = 36\times (x+3)[/tex]

⇒ [tex]32x+192=36x+108[/tex]

⇒ [tex]4x = 84[/tex]

⇒ x = 21

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Answer:

10

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

2(y + 2)

y = 3

Step 2: Evaluate

Answer: 1350 ft^2

Step-by-step explanation:

The total square footage of the home will be equal to the sum of the areas of each floor.

We know that the ground floor is 25 ft by 30ft,  which can be thought of as a rectangle with a length of 25ft and a width of 30 ft.

We know that te area of a rectangle of width W and length L is:

A = L*W

then the area of the ground floor is:

A = 25ft*30ft = 750 ft^2

And the second floor is 20ft by 30ft, then using the same approach as above, the area of the second floor will be:

A = 20ft*30ft = 600ft^2

Then the total square footage of the home is:

SF = 750ft^2 + 600ft^2 = 1350 ft^2

The total square footage of the home will be 1350 feet².

Based on the information given, the area of the first floor will be:

= 25 × 30

= 750 feet²

The area of the second floor will be;

= 20 × 30

= 600 feet ²

The total square footage will be:

= 750 + 600

= 1350 feet ²

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Answer: 3 • (8yx + 18y - x)

Step-by-step-explain : STEP

1

:

STEP

2

:

Pulling out like terms

2.1 Pull out like factors :

x - 4yx = -x • (4y - 1)

Equation at the end of step

2

:

(6y • (2x + 9)) - -3x • (4y - 1)

STEP

3

:

Equation at the end of step 3

6y • (2x + 9) - -3x • (4y - 1)

STEP

4

:

STEP

5

:

Pulling out like terms

5.1 Pull out like factors :

24yx + 54y - 3x = 3 • (8yx + 18y - x)

Final result :

3 • (8yx + 18y - x)

Answer:

53

Step-by-step explanation:

move 82 down next to (2x-8)

if 82+2x-8 is 180, x is 53

Answer:

2x-8=98

2x=106

×=53 is the right answer

Answer:

vertical asymptote X=-1

horizontal asymptote Y=2

Step-by-step explanation:

The vertical and the horizontal asymptotes of the function [tex]f(x) = \frac{2x^2 +7x - 4}{x^2 + 5x + 4}[/tex] are x = -1, and y = 2

The function is given as:

[tex]f(x) = \frac{2x^2 +7x - 4}{x^2 + 5x + 4}[/tex]

To start with, we plot the graph of f(x)

The asymptotes are the lines that pass through the points that appears to be on the curve because of their nearness to the curve, but they are actually not on the curve of the function.

From the graph (see attachment), we can see that:

The vertical and the horizontal asymptotes are x = -1, and y = 2

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Answer:

Austin will have to pay $33,750 for the simple interest.

Step-by-step explanation:

2.25% into decimal = 0.0225

0.0225 x 3000 = 6750

6750 x 5 = 33750

Answer:

Sorry no idea

Step-by-step explanation:

Answer:

1/14

Step-by-step explanation:

slope = difference of y over difference of x

= (-3-(-4)) /(8 -(-6)) = 1/14

Answer:

67.5

Step-by-step explanation:

ok easy it cost $90

90/100=0.9

0.9*25=22.5

90-22.5

67.5

Answer:

n (-3,0) m (-4,4) l (0,3)

Step-by-step explanation:

I have bad eyesight but I think this is correct

Answer:

the answer is 4

Step-by-step explanation:

Answer:

200 miles in 4 hours hope this helps and u get it in on time

Answer:

the last one

Step-by-step explanation:

Answer:

6/25

Step-by-step explanation:

24/100=12/50=6/25

Answer:

[tex]\huge\boxed{\sf \frac{6}{25} }[/tex]

Step-by-step explanation:

[tex]\sf = 24 \%\\\\\% \ means \ out \ of \ 100\\\\= \frac{24}{100}\\\\= \frac{12}{50} \\\\= \frac{6}{25} \\\\\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

a) 68%

b) 99.7%

c) 95%

Step-by-step explanation:

The mean height for an 8th grader in the State of Florida is 146 cm with a standard deviation of 8 cm. Given a normal distribution, use the Empirical Rule to interpret the data.

Empirical rule states that:

68% of data falls within 2 standard deviations from the mean - between μ – σ and μ + σ .

95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .

99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ .

Mean = 146

Standard deviation = 8cm

a) What percent of 8th graders heights are between 138 cm and 162 cm?

146 - sx = 138cm

146 - 138 cm = 8cm

146 - 162 cm = 8cm

Hence,68% of data falls within 2 standard deviations from the mean - between μ – σ and μ + σ .

b) What percent of 8th graders heights are between 122 cm and 170 cm?

Standard deviation = 8

146 - 122 = 24 cm

146 - 170 = -24cm

24cm/8 cm = 3

Hence,99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ .

c) What percent of 8th graders heights are between 130 cm and 162 cm?

146 cm - 130cm = 16cm

162 cm - 146 cm = 16 cm

16cm/8cm

= 2

Hence, 95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .

Answer:

Candlestick charts graph the high, low, open, and close prices of stocks

Answer:

close

stocks

.

Step-by-step explanation:

Answer:

x < 3

Step-by-step explanation:

2(4+2x) > 5x +5

8 + 4x > 5x +5

4x - 5x > 5 - 8

-x > -3

x < 3

Answer:

log_(12(144))=2

Step-by-step explanation:

Answer:

[tex]log_{12}[/tex] 144 = 2

Step-by-step explanation:

Using the rule of logarithms

[tex]log_{b}[/tex] x = n ⇔ x = [tex]b^{n}[/tex]

Given

12² = 144 ← in index form

with b = 12, n = 2, x = 144, then

[tex]log_{12}[/tex] 144 = 2 ← in logarithmic form

Answer:

i do believe they are right, i got b too.

Step-by-step explanation:

Answer:

20*3 1/5

3 1/5= 15+1=16

16/3*20

320/3=

106 1/3

Answer:

64 is ur answer

Step-by-step explanation:

3 1/5 is equal to 16/5

20/1 x 16/5

320/5 = 64

Answer:

3x=4x-24, x=24, RST=72

I will be doing more 100 point free questions

Answer:

I will try my best. Don't really know if this is correct.

Step-by-step explanation:

Well, first, you will have to get a mixed number, 9/2. And then divide 9/2 to 3/1. ( 9/2 divided by 3/1 = ? ) Then, multiply the equation. ( ? x 3 = 9/2 )

Last, draw a diagram to represent the answer.

9/2 = ? ? ? (Pretend that is a diagram) ? = 3/2 gallon

You will have to simplify the answer to get 3/2 gallon.

Look, I tried my best trying to explain everything, this question is very confusing and hard to do.

Answer:

abortion is like killing a baby as a mother

Step-by-step explanation:

simile uses "like" or "as"

Answer:

987654

Step-by-step explanation:

Answer:

12.5% (I think)

Step-by-step explanation:

75 is the amount of money lost, and 75 is 12.5 percent of 600

Answer:

12.5 percent decrease

Step-by-step explanation:

Use the formula

new-old/old

525 is new price being sold

600 is old price being sold

525-600

-75/600

-1/8

-1/8= -0.125

0.125= 12.5 percent

so 12.5 percent decrease.

Answer:

A. a narrative describes events in sequence.

A narrative must be in order, like a proper story. It also must be written in past tense.