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8_murik_8 [283]
3 years ago
14

Two triangles are shown. The first triangle has sides x, 6 cm, and 12 cm, and the second triangle has corresponding sides 20 cm,

8 cm, and 16 cm. The two triangles above are similar. Find x using the ratio of the sides 12 cm and 16 cm: x 20 = 12 16 . Show your work. Find x using the ratio of the sides 6 cm and 8 cm. Show your work. Explain why the answers to (a) and (b) should be the same.
Mathematics
1 answer:
swat323 years ago
5 0

Answer:

Given the two triangles are shown:

First triangle has sides x cm , 6 cm and 12 cm.

and

Second  triangle has sides 20 cm , 8 cm and 16 cm.

Since, the given two triangles are Similar.

⇒there corresponding sides are in proportion.

i,e

\frac{x}{20}=\frac{6}{8}=\frac{12}{16}

(a)

\frac{x}{20}=\frac{12}{16}

Solve for x;

By cross multiply we have;

16x = 240

Divide both sides by 16 we get;

x = 15 cm

(b)

Find x using the ratio sides:

\frac{6}{8} = \frac{x}{20}

By cross multiply we have;

120 = 8x

Divide both sides by 8 we get;

15 = x

or

x = 15 cm

The value of x =15 cm in both a and b is same because the given two triangles are similar,

by definition of similarity, the given triangles have their corresponding sides are in proportion.

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A Triangle has an area of 36cm^2. The base and height are scaled by a factor of 5. What is the area of the resulting triangle?
Finger [1]

Answer:

Area of resulting triangle  will be 900 cm^2.

Step-by-step explanation:

When sides of  any polygon if scaled by a factor of k

then area is scaled by k^2

According to the above statement

therefore  here in the question since area of original triangle was 36cm^2

and both  base and height are scaled by a factor of 5.

therefore area of scaled triangle will be 5^2 times of the original

that is 25 x 36 which gives 900 cm^2

So area of resulting triangle will be 900 cm^2


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Answer:

220 miles

Step-by-step explanation:

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Dominick borrowed $6,000 from a credit union at 9% simple interest for 30 months. What were his monthly installment payments to
Lady_Fox [76]

<em>Answer: </em>

<em>A = $7,350.00</em>

<em></em>

<em>Step-by-step explanation:</em>

<em>Equation:</em>

<em>A = P(1 + rt)</em>

<em>First, converting R percent to r a decimal</em>

<em>r = R/100 = 9%/100 = 0.09 per year.</em>

<em>Putting time into years for simplicity,</em>

<em>30 months / 12 months/year = 2.5 years.</em>

<em></em>

<em></em>

<em>Solving our equation:</em>

<em>A = 6000(1 + (0.09 × 2.5)) = 7350 </em>

<em>A = $7,350.00</em>

<em>The total amount accrued, principal plus interest, from simple interest on a principal of $6,000.00 at a rate of 9% per year for 2.5 years (30 months) is $7,350.00.</em>

<em>* Therefor, the answer is $7,350.00.</em>

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