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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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Answer

The width of the rectangular field is 75 yards.

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A line passes through (-1,5) and (1,3) what is the equation of the line
chubhunter [2.5K]

Answer:

y = -x + 4

Step-by-step explanation:

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u can use either of ur points...I will use (1,3)...x = 1 and y = 3

now we sub and find b, the y int

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Write the sentence as an​ equation, using x as the variable. Then find the solution of the equation from the set of integers bet
Inessa05 [86]

Answer:

The solution of given equation is x = -4

Step-by-step explanation:

We are given the following in the question:

Let x be the variable such that

x \in (-12,12)

Relation:

The quotient of a number and 4 is negative 1

We can write the equation as:

\dfrac{x}{4} = -1

Solution:

\dfrac{x}{4} = -1\\\\\Rightarrow x = 4\times -1\\\Rightarrow x = -4

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tia_tia [17]

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<u>Explanation:</u>

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Example:

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27)

In a quadrilateral ABCD, the measure of ZA, ZB, ZC and ZD are the ratio 1 : 2 : 3 : 4

We know,

sum of all the interior angles of a quadrilateral is 360°

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Therefore, the measures of the four angles of quadrilateral ABCD are 36°, 72°, 108° and 144°

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