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2 years ago

13

A dilation by a factor of 7/8 maps triangle ABC to triangle XYZ. Segment BC has a length of 4 cm.

1 answer:

anastassius [24]2 years ago

5 0

I believe the answer should be 3 and 1/2 which is 3.5 because I did the factor 7/8 times 4 and I got 3 and 1/2 I’m not sure

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In the diagram below, GH is parallel to DE . If GH is 3 more than EH FH=10, and DE=12 find the length of EH. Figures are not nec

steposvetlana [31]

Answer: 5

Step-by-step explanation:

Since $\overline{GH} \parallel \overline{DE}$ , by the corresponding angles theorem, $\angle FGH \cong \angle FDE, \angle FHG \cong \angle FED$ . This means $\triangle FGH \sim \triangle FDE$ by AA.

As corresponding sides of similar triangles are proportional,

$\frac{10}{x+3}=\frac{10+x}{12}\\(10)(12)=(10+x)(x+3)\\120=x^{2}+13x+30\\x^{2}+13x-90=0\\(x+18)(x-5)=0\\x=-18, 5$
However, as distance must be positive, we consider the positive solution, x=5.

Therefore, the answer is <u>5</u>

6 0

1 year ago

What principle will amount to $6000 if invested at 5.5% compounded monthly for 10 years?

Tju [1.3M]

Answer:In 10 years, you will have $10,386.46

Step-by-step explanation:

8 0

2 years ago

Expand and simplify<br> (x - 1)(2x + 3)

meriva

Answer: 3x+2

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Volume of a cylinder with a height of 8 and a width of 8

tangare [24]

Answer:

I am only in like 5th grade, but I'll do my best to answer this.

Step-by-step explanation:

Volume of a cylinder: πr^2h where "r" is the radius and "h" is the height

π * 4^2 because since the width is 8, half of that is the radius

π * 4^2 * 8 because you still have to multiply that by the height to find the full space inside

= π * 4^2 * 8

V ≈ 402.12 (rounded to two decimals)

6 0

3 years ago

Jaishree studies for 5 hours daily. She devotes 2 hours of her time for science and mathematics. How muþch time does she devote

baherus [9]

Total time=5h
Time devoted for mathematics and science=2h

Let Time devoted for others be x

$\\ \rm\Rrightarrow x+2=5$

$\\ \rm\Rrightarrow x=5-2$

$\\ \rm\Rrightarrow x=3h$

8 0

2 years ago

Read 2 more answers