9. Find the perimeter of this figure.

Elena-2011 [213]

Answer:

100

Step-by-step explanation:

Remark

If two opposite arcs are given by being opposite vertically opposite angles, then the value of both the vertically opposite angles are equal to

Vertically opposite angle = 1/2 (arc1 + arc2)

Givens

Arc1 = 60

Arc2 = 100

Solution

The red dot angle = 1/2 (60 + 100)

The red dot angle = 1/2(160)

The red dot angle = 80

Because the red dot angle and <3 are on the same line with the same common point, they are supplementary.

<3 and red dot = 180

<3 + 80 = 180 Subtract 80 from both sides

<3 = 180 - 80

<3 = 100

8 0

2 years ago

jenny receives total employee benefits that are 24.5% of her gorss annual pay.if jenny has a gross annual pay of 70,000 how much

patriot [66]

You can change 24.5% by moving the decimal point
24.5%=.245
70,000 x .245=$17,150

4 0

2 years ago

Shelly and Mickelle are making a quilt. They have a piece of fabric that measures 48 inches by 168 inches.

irinina [24]

Answer:

(a) The largest square side is 24 inches

(b) No. of pieces are 14

Step-by-step explanation:

As per the question:

The dimensions of the fabric are $48 in\times 168 in$

(a)To calculate the side length of the largest square piece, we need to find the Greatest Common Factor (GCF) of the dimensions as:

$48 = 2\times 2\times 2\times 2\times 3$

$168 = 2\times 2\times 2\times 3\times 7$

Therefore,

The GCF of the dimensions = $48 = 2\times 2\times 2\times 3 = 24$

Therefore, the largest side of a square that can be cut from the fabric is 24 inches.

(b) The no. of pieces of 24 inches that can be cut from the fabric can be given as:

No. of pieces = $\frac{Total\ Area}{Area\ of\ largest\ square}$

No. of pieces = $\frac{48\times 168}{24\times 24}$ = 14

7 0

2 years ago

Read 2 more answers

Find the missing value in the table.

dimulka [17.4K]

Answer:

we're just multiplying X × 2 every time so (y=80)

7 0

2 years ago

The diagram represents an enlargement of a rectangle by a scale factor of 4.

Tpy6a [65]

Answer:

D. 16 inches by 8 inches

Step-by-step explanation:

We have been given an image of two rectangles and we are asked to find the dimensions of the enlarged rectangle.

Since we have been given that the original rectangle is enlarged b a scale factor of 4, so to find the dimensions of enlarged rectangle we will multiply the dimensions of original rectangle by 4.

$\text{Length of enlarged rectangle}=4\times 4\text{ inch}$

$\text{Length of enlarged rectangle}=16\text{ inch}$

$\text{Width of enlarged rectangle}=4\times 2\text{ inch}$

$\text{Width of enlarged rectangle}=8\text{ inch}$

Therefore, the dimensions of enlarged rectangle are 16 inches by 8 inches and option D is the correct choice.

6 0

2 years ago

Read 2 more answers

9. Find the perimeter of this figure.​

9. Find the perimeter of this figure.