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Valentin [98]
3 years ago
14

I need help ASAP 10 Points!!!

Mathematics
1 answer:
swat323 years ago
4 0

Purple color figure is similar to the original figure.

<u>Solution:</u>

Property of similar polygon:

<em>Similar polygons have same shape, corresponding angles are congruent and the corresponding sides are in the same ratio.</em>

(1) <u>Compare original figure with green color figure:</u>

Angles of the original figure:

37°, 53° and 90°.

Angles of the green color figure:

67°, 23° and 90°

These two angles of the triangles not congruent angles.

Hence these shapes are not similar.

(2) <u>Compare original figure with yellow color figure:</u>

Angles of the original figure:

37°, 53° and 90°.

Angles of the yellow color figure:

67°, 23° and 90°

These two angles of the triangles are not congruent angles.

Hence these shapes are not similar.

(3) <u>Compare original figure with purple color figure:</u>

Angles of the original figure:

37°, 53° and 90°

Angles of the purple color figure:

37°, 53° and 90°

These two triangles have same shape and congruent angles.

Ratio of the sides:

$\frac{3}{6}=\frac{1}{2} , \ \frac{4}{8}=\frac{1}{2} , \ \frac{5}{10}=\frac{1}{2}

These two triangles have same ratio.

Hence these shapes are similar.

Hence purple color figure is similar to the original figure.

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Reika [66]

Answer:

  • 14

Step-by-step explanation:

<u>Twice the sum of a number and seven is three times the number:</u>

  • 2(x + 7) = 3x
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Benjamin wants to buy a video game that costs $24, but he only wants to spend 40% of his savings. How much must Benjamin save in
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Answer:

$14.4

Step-by-step explanation:

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2 years ago
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3 years ago
Paul is saving for a down payment to buy a house. The account earns 13% interest compound quarterly, and he wants to have $15,00
Tatiana [17]

Answer:

The principal must be = $8991.88

Step-by-step explanation:

Formula for compound interest is:

A = P(1 + \frac{r}{n})^{nt}

Where A is the amount after 't' years.

P is the principal amount

n is the number of times interest is compounded each year.

r is the rate of interest.

Here, we are given that:

Amount, A = $15000

Rate of interest = 13 % compounded quarterly i.e. 4 times every year

Number of times, interest is compounded each year, n = 4

Time, t = 4 years.

To find, Principal P = ?

Putting all the given values in the formula to find P.

15000 = P(1 + \frac{13}{400})^{4\times 4}\\\Rightarrow 15000 = P(1 + 0.0325)^{16}\\\Rightarrow 15000 = P(1.0325)^{16} \\\Rightarrow 15000 = P \times 1.66817253\\\Rightarrow P = \dfrac{15000}{1.66817253}\\\Rightarrow P \approx \$8991.88

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2 years ago
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