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3 years ago

These two polygons are similar.

Mathematics

1 answer:

Jet001 [13]3 years ago

4 0

Answer:

$\huge\boxed{z=3}$

Step-by-step explanation:

If two polygons are similar, then corresponding sides are in proportion.

The corresponding sides:

4 → x

y → 15

3 → w

2 → 6

z → 9

therefore:

$\dfrac{z}{9}=\dfrac{2}{6}$ <em>cross multiply</em>

$(z)(6)=(9)(2)$

$6z=18$ <em>divide both sides by 6</em>

$z=3$

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Help me with this math problem please

mrs_skeptik [129]

Answer:

$y=8$

$RS=77, ST=31$

Step-by-step explanation:

Note that the entire segment RT is the combined lengths of RS and ST. So:

$RT=RS+ST$

We know that RT is 108, RS is (9y+5), and ST is (3y+7). Substitute:

$108=(9y+5)+(3y+7)$

On the right, combine like terms:

$108=(9y+3y)+(5+7)$

Add:

$108=12y+12$

Subtract 12 from both sides. The right cancels:

$96=12y$

Divide both sides by 12:

$y=8$

So, the value of y is 8.

To find RS and ST, substitute 8 for y. So:

$RS=9y+5$

Substitute 8 for y:

$RS=9(8)+5$

Multiply:

$RS=72+5$

Add:

$RS=77$

Do the same for ST:

$ST=3y+7$

Substitute 8 for y:

$ST=3(8)+7$

Multiply:

$ST=24+7$

Add:

$ST=31$

5 0

3 years ago

Read 2 more answers

The overnight low temperature in Cassidy City was -27 Fahrenheit. The overnight low temperature in Shakerville was -6 Fahrenheit

koban [17]

Answer:

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Step-by-step explanation:

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3 years ago

Suppose the sample space for a probability experiment has 8 elements. If elements from the sample are selected without replaceme

Gwar [14]

Answer: Number of ways $=\dfrac{8!}{8!0!}\ or \ 1$

Step-by-step explanation:

When there is no replacement , we use combination to find the number of ways to choose things.

Number of ways to choose r things out of ( with out replacement) = $^nC_r=\dfrac{n!}{r!(n-r)!}$

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Hence, Number of ways $=\dfrac{8!}{8!0!}\ or \ 1$

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2 years ago

Homosexuals, please help a girl out.

Roman55 [17]

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3 years ago

Write the quadratic function in vertex form.

melisa1 [442]

Complete the square
isolate x terms
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add plus and minus of that inside the parntehasees

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factor perfect suqrae
y=((x-7)^2-49)+53
get rid of parnthasees
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C isi answer

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4 years ago