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3 years ago

NEED ANSWERS ASAP The two triangles are similar. What is the value of x?

Mathematics

1 answer:

Alexus [3.1K]3 years ago

4 0

If the two triangles are similar, then by definition we have that the quotient between two sides of a triangle is equal to the quotient between two sides of the second triangle.
We have then:
((3x) / (4x + 2)) = ((20) / (28))
Clearing:
3x = (20/28) * (4x + 2)
28 * 3x = (20) * (4x + 2)
84x = 80x + 40
84x-80x = 40
4x = 40
x = (40) / (4)
x = 10
answer
The value of x is 10

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The lengths of the sides of a rectangle are 12.4 and 26. What are the measures of the angles between its diagonals? Round your a

Sergeu [11.5K]

Answer:

129 and 51 degrees.

Step-by-step explanation:

Drawing a diagonal gives us a triangle with the opposite side = 12.4 and the adjacent side = 26.

tan x = 12.4 / 26

x = 25.497 degrees.

The other angle will be 90 - 25.497

= 64.503 degrees.

One of the diagonal angles is 180 - (2*25.497)

= 129 degrees

and the other is 180 - 129 = 51 degrees.

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3 years ago

Need help please help me

ANTONII [103]

Megan:
x to the one third power = $x ^{1/3}$
x to the one twelfth power = $x ^{1/12}$

The quantity of x to the one third power, over x to the one twelfth power is:
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Since $\frac{ x^{a} }{ x^{b} } = x ^{a-b}$
then $\frac{x ^{1/3}}{x ^{1/12}} = x^{1/3-1/12}$

Now, just subtract exponents:
1/3 - 1/12 = 4/12 - 1/12 = 3/12 = 1/4

$\frac{x ^{1/3}}{x ^{1/12}} = x^{1/3-1/12} = x^{1/4}$

Julie:
x times x to the second times x to the fifth = x * x² * x⁵

The thirty second root of the quantity of x times x to the second times x to the fifth is
 $\sqrt[32]{x* x^{2} * x^{5} }$

Since $x^{a}* x^{b}= x^{a+b}$
Then $\sqrt[32]{x* x^{2} * x^{5} }= \sqrt[32]{ x^{1+2+5} } =\sqrt[32]{ x^{8} }$

Since $\sqrt[n]{x^{m}} = x^{m/n} }$
Then $\sqrt[32]{ x^{8} }= x^{8/32} = x^{1/4}$

Since both Megan and Julie got the same result, it can be concluded that their expressions are equivalent.

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Contact [7]

Answer:

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Step-by-step explanation:

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