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rewona [7]
2 years ago
13

Rectangle ABCD was dilated to create rectangle A'B'C'D. Triangle A B C D is dilated to form triangle A prime B prime C prime D.

Side B C is 3.8 units. Side A prime B prime is 15 units and side B prime C prime is 9.5 units. What is AB? 6 units 7.6 units 9.5 units 12 units
Mathematics
2 answers:
Julli [10]2 years ago
8 0

Answer:

AB = 6

Step-by-step explanation:

Given

BC = 3.8

A'B' = 15

B'C' = 9.5

Required

Determine the length of AB

Because A'B'C'D is a dilation of ABCD, then the following relationship must exist:

A'B' : AB = B'C' : BC

Substitute values for A'B', B'C' and BC

15 : AB = 9.5 : 3.8

Express the ratio as fractions:

\frac{AB}{15} = \frac{3.8}{9.5}

Multiply through by 14

15 * \frac{AB}{15} = \frac{3.8}{9.5} * 15

AB = \frac{3.8}{9.5} * 15

AB = \frac{3.8* 15}{9.5}

AB = \frac{57}{9.5}

AB = 6

fredd [130]2 years ago
7 0

Answer:

A. 6 units

Step-by-step explanation:

I got it right on edge.

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Solve for x:<br> 2(3x + 4) + 2 = 4 + 3x
Anton [14]

Answer:

-2

Step-by-step explanation:

Distribute

2

(

3

+

4

)

+

2

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Add the numbers

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6x+{\color{#c92786}{8}}+{\color{#c92786}{2}}=4+3x

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1

0

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3

6x+{\color{#c92786}{10}}=4+3x

6x+10=4+3x

3

Rearrange terms

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+

1

0

=

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3

6x+10={\color{#c92786}{4+3x}}

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+

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0

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4

6x+10={\color{#c92786}{3x+4}}

6x+10=3x+4

4

Subtract  

1

0

10

10

from both sides of the equation

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+

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6

+

1

0

−

1

0

=

3

+

4

−

1

0

6x+10{\color{#c92786}{-10}}=3x+4{\color{#c92786}{-10}}

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6

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6

Subtract  

3

3x

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−

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Simplify

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8

Divide both sides of the equation by the same term

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9

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