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Pavel [41]
3 years ago
14

Bryan purchased two triangular wall shelves. The sides of each shelf are 8 inches, 10 inches, and 12 inches. He's trying to buil

d a similar, larger
triangular shelf to hang between the smaller ones. Which of the dimensions can Bryan use for the larger shelf so that it is similar to the ones he purchased? Justify why the three triangles are similar.
A) 4 inches, 5 inches, and 6 inches; All of the side lengths of the smaller triangles have been multiplied by 1/2 which guarantees side-side-side similarity
.
B) 16 inches, 20 inches, and 24 inches; All of the side lengths of the smaller triangles have been multiplied by 2, which guarantees side-side-side similarity.
C) 16 inches, 20 inches, and 24 inches; All of the side lengths of the smaller triangles have been multiplied by 2, which guarantees side-angle-side similarity.
D) 16 inches, 20 inches, and 24 inches; All of the side lengths of the smaller triangles have been multiplied by 2, which guarantees angle-angle-side similarity
Mathematics
1 answer:
yan [13]3 years ago
4 0
B.) 16 inches, 20 inches, and 24 inches; All of the side lengths of the smaller triangles have been multiplied by 2, which guarantees side-side-side similarity.

Side 1:   8 inches * 2 = 16 inches
Side 2: 10 inches * 2 = 20 inches
Side 3: 12 inches * 2 = 24 inches.


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Kendra washes windows in an office building. She washes 25 2 5 of the windows on Monday. She washes 13 1 3 of the windows on Tue
scoray [572]

I think you mean 2/5 and not 25 for Monday and 1/3 and not 13 on Tuesday. So i will solve with the fraction.

Answer: The fraction of the windows remaining  for Kendra to wash=4/15

Step-by-step explanation:

Step 1

The fraction of windows washed on Monday = 2/5

The fraction of windows washed on Tuesday= 1/3

Fraction remaining to be washed = Total windows - Fraction already washed

Step 255

Fraction already washed=2/5 + 1/3 =6+ 5/15 = 11/15

The total numbers of windows in the office will be represented as 1 whole number since we are dealing with fractions such that the

Fraction remaining to be washed = 1- Fraction already washed

= 1- 11/15 = 15/15-11/15= 4/15

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The circumference of the circle is 62.8 m.

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4 0
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Solve the following system of equations. <br> y = 12 - 5x <br> 2x + 3y = 11
Sindrei [870]
Use substitution
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Distributive property
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