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AveGali [126]
2 years ago
14

Find the value of x

Mathematics
1 answer:
Novay_Z [31]2 years ago
4 0

Answer:

<em>x=3</em>

Step-by-step explanation:

<u>Angles and Lines</u>

We must recall:

  • The sum of the internal angles of a triangle is 180°
  • Two linear angles add up to 180°

The image shows a triangle and the extension of its base to form two linear angles.

Note from the triangle, angle R is what it takes to get to 180°:

m\angle R=180-25x-(57+x)

From the line SQ, angle R what it takes to get to 180°. Thus:

m\angle R=180-45x

Equating:

180-25x-(57+x)=180-45x

Subtracting 180 and simplifying:

-25x-57-x=-45x

19x=57

Dividing by 19:

x=3

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2 years ago
Two angles are supplementary. If 5 times of one angle is 10 times of the other angle, find the two angles.
Luba_88 [7]
5x + 10x = 180
15x = 180
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3 years ago
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Answer:

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Step-by-step explanation:

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2 years ago
Use the value of the first integral I to evaluate the two given integrals. I = integral^3_0 (x^3 - 4x)dx = 9/4 A. integral^3_0 (
Troyanec [42]

Answer:

A) -9/2

B) 9/4

C) -9/2, same as A)

Step-by-step explanation:

We are given that I=\int_0^3 x^3-4x dx=9/4. We use the properties of integrals to write the new integrals in terms of I.

A) \int_0^3 8x-2x^3 dx=\int_0^3 -2(x^3-4x) dx=-2\int_0^3 x^3-4x dx=-2I=-9/2. We have used that ∫cf dx=c∫f dx.

B) \int_3^0 4x - x^3 dx=-\int_0^3 (4x-x^3) dx=\int_0^3-(4x-x^3) dx=\int_0^3 x^3-4x dx=I=9/4. Here we used that reversing the limits of integration changes the sign of the integral.

C) It's the same integral in A)

4 0
3 years ago
Find the value of x.<br> 899<br> 46<br> X
Hatshy [7]

Answer:

I think it's 45.

Step-by-step explanation:

46 + 89 = 135

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180 - 135 = 45

the last angle is 45.

3 0
3 years ago
Read 2 more answers
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