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Nimfa-mama [501]
3 years ago
10

Annie walks 15 feet away from her house and places a mirror on the ground. She backs 4 feet away from the mirror so that she can

see the tip of the roof. Annie's eyes are 5 feet above the ground. Annie and the house are both perpendicular to the ground. The angles between the top of the house, the mirror, and the ground and between Annie's eyes, the mirror, and the ground are congruent as shown in the image below:
Image depicts a mirror on the ground between a person and a house. The mirror is 4 feet away from the person and 15 feet away f


What is the height of the house? Show your work and explain your reasoning in complete sentences.

Mathematics
1 answer:
artcher [175]3 years ago
5 0

Answer:

The house is 18.75 feet tall

Step-by-step explanation:

The triangles are similar by the AA postulate.  

We are given the length of the bottom sides of the triangles, 4 and 15 respectively.  

Thus, the ratio is 4:15

We are also given the height of Annie's eyes, which is 5 feet. The height of the side that corresponds to the house is 5, so we can set up a proportion.

\frac{4}{15}  = \frac{5}{x} \\4x = (5*15) = 75\\x = \frac{74}{4} \\x = 18.75

Thus, the house is 18.75 feet tall.

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Help with exercise
GalinKa [24]

The probability that a randomly selected chocolate bar will have between 200 and 220 calories is 3.97%

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more variables and numbers.

The zscore is given a:

z = (raw score - mean) / standard deviation

mean = 225, standard deviation o = 10.

a) For x = 200:

z = (200 - 225) / 200 = -0.125

For x = 220:

z = (220 - 225) / 200 = -0.025

P(-0.125 < z < -0.025) = P(z < -0.025) - P(z < -0.125) = 0.4880 - 0.4483 = 3.97%

b) For x = 190:

z = (190 - 225) / 200 = -0.175

P(z < -0.025) = P(z < -0.175) = 0.4286

The probability that a randomly selected chocolate bar will have between 200 and 220 calories is 3.97%

Find out more on equation at: brainly.com/question/2972832

#SPJ1

7 0
2 years ago
Which of the following statements about JK and JL is true?
mash [69]

Answer:

B. JK is longer than JL

Step-by-step explanation:

JK is 6, JL is 5. Therefore, JK is longer than JL.

8 0
2 years ago
Part A
kap26 [50]

Reflecting the polygon FGHI across the line involves flipping the line across the line y = -1

<h3>How to reflect the polygon?</h3>

The coordinates are given as:

F(2, – 1), G(5,2), H(8, 3), and I(6, 0)

The line of reflection is given as:

y = -1

To reflect the line, we apply the following rule of reflection

(x,y) \to  (x,-y-2)

So, we have the following coordinates of the image

F' = (2, – 1)

G' = (5,-4)

H' = (8, -5)

I' = (6, -2)

See attachment for the image of the reflected polygon

Read more about reflection at:

brainly.com/question/4289712

4 0
2 years ago
CAN SOMEONE PLS HELP ME !!
algol [13]
The answer is $1505.76
8 0
3 years ago
In parallelogram DEFG if m_DEF=110° find m_FGD.<br> E<br> 110°<br> D<br> G
Sergio039 [100]

Answer:

E=x

or 110= x ( opposite angles of parallelogram are congurent)

E+D = 180 ( angles on st line)

110+D =180

D=70

D=F ( opposite angles of parallelogram are congurent)

so F=70

3 0
3 years ago
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