The question has missing details, as the scale factor is not given. However, I will give a general explanation on how to calculate the area and perimeter of a dilated shape (triangle).

The following assumptions, apply:

(1) Scale factor of 1/2 from the blue to the yellow triangle.

(2) The dimension of the blue triangle are:

$Base = x$

$Sides= y\ and\ z$

$Height= h$

First, calculate the dimensions of the yellow triangle.

The dimension will be the product of the scale factor and the dimensions of the blue triangle.

So, we have:

$Base = \frac{1}{2} * x = \frac{1}{2}x$

$Sides = \frac{1}{2}y\ and\ \frac{1}{2}z$

$Height = \frac{1}{2}h$

The perimeter of the blue triangle is:

$P_1 =Base + Sides$

$P_1 = x + y + z$

The perimeter of the yellow triangle is:

$P_2 =Base + Sides$

$P_2 = \frac{1}{2}x + \frac{1}{2}y + \frac{1}{2}z$

Factorize

$P_2 = \frac{1}{2}[x + y + z]$

Recall that: $P_1 = x + y + z$

So:

$P_2 = \frac{1}{2}*P_1$

This implies that the perimeter of the yellow triangle is a product of the scale factor and the perimeter of the blue triangle.

The area of the blue triangle is:

$A_1 = \frac{1}{2}* Base * Height$

$A_1 = \frac{1}{2} * x* h$

$A_1 = \frac{1}{2} xh$

The area of the yellow triangle is:

$A_2 = \frac{1}{2} * Base * Height$

$A_2 = \frac{1}{2}* (\frac{1}{2}x) * (\frac{1}{2}h)$

Rewrite as:

$A_2 = \frac{1}{2}* \frac{1}{2} [\frac{1}{2}x h]$

$A_2 = (\frac{1}{2})^2 *[\frac{1}{2}x h]$

Recall that: $A_1 = \frac{1}{2} xh$

So:

$A_2 = (\frac{1}{2})^2 *A_1$

This implies that the area of the yellow triangle is a product of the square of the scale factor and the area of the blue triangle.

4 0

3 years ago

Jennifer had a 7/8- foot board. She cut off a 1/4 foot piece that was for a project. In feet, how much of the board was left

Tems11 [23]

Answer: There was 5/8 of a foot of board left.

Step-by-step explanation:

Step 1. We need to subtract 1/4 from 7/8. To do this make it where both fractions have the same denominator.

Step 2. The easiest way to do this is to multiply 1/4 by 2.

1/4*2/2=2/8.

Step 3. Now all you got to do is subtract 2/8 from 7/8.

7/8-2/8= 5/8.

7 0

4 years ago

Simplify the Expression - 1/2 (8b+3)+3b=

Anna35 [415]

Answer:

-b -3/2

Step-by-step explanation:

-1/2(8b+3) + 3B (a negative times a positive equals a negative)

1. Mutiply -1/2 by 8b and then by 3

(-1/2 x 8b -1/2 x 3) + 3b

-4b - 3/2 + 3b

2. Add -4b + 3b = -b

-b - 3/2

5 0

3 years ago

BRAINLIEST Change 7.2 grams to milligrams. mg

fgiga [73]

Answer:

7200 mg

Step-by-step explanation:

multiply the mass value by 1000

5 0

3 years ago

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