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4 years ago

13. If B is the midpoint of AC and AC = 8x -20, find BC. AB= 3x-1

Mathematics

1 answer:

maks197457 [2]4 years ago

3 0

Answer:

$\Huge \boxed{5x - 19}$

$\rule[225]{225}{2}$

Step-by-step explanation:

A ——— B ——— C

AC = 8x - 20

AB = 3x - 1

BC = AC - AB

BC = (8x - 20) - (3x - 1)

Distributing negative sign.

BC = 8x - 20 - 3x + 1

Combining like terms.

BC = 5x - 19

$\rule[225]{225}{2}$

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3 years ago

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3 years ago

Read 2 more answers

Miranda enlarged a picture twice as shown below, each time using a scale factor of 3.

lyudmila [28]

Answer:

The area of the second enlargement is 1,944 square inches

The area of the second enlargement is (3 squared) squared times the original area.

The ratio of the area of the first enlargement to the area of the original equals the square of the scale factor

Step-by-step explanation:

Verify each statement

1) The area of the first enlargement is 72 square inches.

The statement is false

Because

we know that

The original dimensions of the rectangle are

length 6 inches and width 4 inches

First enlargement

Multiply the original dimensions by a scale factor of 3

$Length: 6(3)=18\ inches\\Width: 4(3)=12\ inches$

The area of the first enlargement is

$18(12)=216\ in^2$

2) The area of the second enlargement is 1,944 square inches

The statement is true

Multiply the dimensions of the first enlargement by a scale factor of 3

$Length: 18(3)=54\ inches\\Width: 12(3)=36\ inches$

The area of the second enlargement is

$54(36)=1,944\ in^2$

3) The area of the second enlargement is (3 squared) squared times the original area.

The statement is true

Because

The original area is 24 square inches

$[(3^2)]^2(24)=1,944\ in^2$

4) The area of the second enlargement is 3 times the area of the first enlargement

The statement is false

Because

$3(216)=648\ in^2$

$648\ in^2 \neq 1,944\ in^2$

5) The ratio of the area of the first enlargement to the area of the original equals the square of the scale factor

The statement is true

Because

The square of the scale factor is 3^2=9

and the ratio is equal to

$\frac{216}{24}=9$

8 0

3 years ago

Read 2 more answers

13. If B is the midpoint of AC and AC = 8x -20, find BC. AB= 3x-1​

13. If B is the midpoint of AC and AC = 8x -20, find BC. AB= 3x-1