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3 years ago

15

Pete's blueprint shows a layout of a house. Every 6 inches in the blueprint represents 4.5 feet of the actual house. What are th

e actual dimensions of the master suite?

1 answer:

sweet [91]3 years ago

3 0

Blueprint? Need info

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7. It takes ounces of honey to make one apple pie. Betty baked 4 apple

Rom4ik [11]

Answer:

17.6 ounces to make the pecan pies. I dont know how much honey she used to make the apple pie so if you could pls say I could edit the answer :)

Step-by-step explanation:

4 0

3 years ago

Given points A (0,0), B (4,0), C (0,2), D (0,0), E (2,0), and F (0,1), which of the following proves that

damaskus [11]

Similar triangles may or may not have equal side lengths

Triangles ABC and DEF are similar by SSS theorem

<h3>How to determine the similarity statement</h3>

The coordinates of the two triangles are:

A (0,0), B (4,0), C (0,2), D (0,0), E (2,0), and F (0,1)

Calculate the lengths of both triangles using the following distance formula

$d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}$

For triangle ABC, we have:

$AB = \sqrt{(0 -4)^2 + (0 -0)^2} = 4$

$BC = \sqrt{(4 -0)^2 + (0 -2)^2} = 2\sqrt 5$

$CA = \sqrt{(0 -0)^2 + (0 -2)^2} = 2$

For triangle DEF, we have:

$DE = \sqrt{(0 -2)^2 + (0 -0)^2} = 2$

$EF = \sqrt{(2 -0)^2 + (0 -1)^2} = \sqrt 5$

$FD = \sqrt{(0 -0)^2 + (1 -0)^2} = 1$

Divide corresponding sides of the triangles to calculate the scale factor k

$k = \frac{AB}{DE} = \frac{BC}{EF} = \frac{CA}{FD}$

This gives

$k = \frac{4}{2} = \frac{2\sqrt 5}{\sqrt 5} = \frac{2}{1}$

Evaluate the quotients

$k = 2 = 2 = 2$

Since the quotients are equal, then the triangles are similar

Hence, triangles ABC and DEF are similar by SSS theorem

Read more about similar triangles at:

brainly.com/question/14285697

3 0

2 years ago

Hello i need the answer what is the product of 15/16

Afina-wow [57]

Answer:

The product is 240.

Step-by-step explanation:

The product is always when you multiply numbers together.

5 0

2 years ago

Read 2 more answers

Solve the system using the substituiton method<br> branliest offered<br> 3x-7y=10<br> x-4y=5

fiasKO [112]

Hi there!

To solve this problem using substitution, we need to set x equal to a value and substitute it into the other equation.

Since
x - 4y = 5,
x = 5 + 4y

3x - 7y = 10
3(5 + 4y) - 7y = 10
15 + 12y - 7y = 10
15 + 5y = 10
5y = -5
y = -1

Now that we know y is -1, we can substitute it back into the equation to find x:

y = -1
x - 4y = 5
x - 4(-1) = 5
x - (-4) = 5
x + 4 = 5
x = 1

So, your answers are x = 1 and y = -1.

Hope this helps!

6 0

3 years ago

Yolanda is planning to put a pool in her backyard. The scaled model below gives the reduced measures for diameter and depth. Not

VMariaS [17]

Correct Answer:
C option: 6 feet

Solution:
Since <span>Yolanda wants to keep the pool in proportion to the model, the ratio of diameter to depth of model and the pool will be same.

Let the depth of pool is x feet. So we can write:

Ratio of Diameter to Depth of Model = Ratio of Diameter to Depth of pool
</span> $18:4=27:x \\ \\ 
 \frac{18}{4} = \frac{27}{x} \\ \\ 
x=27* \frac{4}{18} \\ \\ 
x=6$
<span>
This means the depth of pool should be 6 feet if </span><span>Yolanda wants to keep the pool in proportion to the model.</span>

7 0

3 years ago

Read 3 more answers