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Harrizon [31]
2 years ago
12

Given m ∥ n m∥n, find the value of x.

Mathematics
1 answer:
Margarita [4]2 years ago
3 0

Answer: 19

Step-by-step explanation:

The angles are supplementary, so

9x-4+x+14=180\\10x-10=180\\10x=190\\x=19

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What is the length of EF in the right triangle below?
vazorg [7]

Answer:

EF = \sqrt{120}

Step-by-step explanation:

Since this triangle is right, we can use the pythagorean theorem to find the missing side length. The pythagorean theorem states that the square of the hypotenuse(DE) is equal to the sum of the squares on the legs(DF, EF). We can write:

DE^2 = DF^2 + EF^2

and substitute the values:

17^2 = 13^3 + EF^2

289 = 169 + EF^2

EF^2 = 120

EF = \sqrt{120}

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3 years ago
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A speed walker covered 4 1/2 mi in 3/4 hour. How far will he walk in 3/4 hour if he walks?
Nezavi [6.7K]

Given:

Consider the complete question is "A speed walker covered 4\dfrac{1}{4} mi in \dfrac{3}{4} hour. How far will he walk in 3/4 hours if he walks twice as fast?"

A speed walker covered 4\dfrac{1}{4} mi in \dfrac{3}{4} hour.

To find:

Distance covered by him if in 3/4 hour if he walks twice as fast.

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We have,

Distance=4\dfrac{1}{2}=\dfrac{9}{2}

It means a speed walker covered \dfrac{9}{2} mi in \dfrac{3}{4} hour.

If the speed is twice then he can cover double distance is same time.

Distance covered by him if in 3/4 hour if he walks twice as fast is

2\times \dfrac{9}{2}=9

Therefore, distance covered by him is 9 mi.

7 0
3 years ago
Determine the solution to the system of equations:
Morgarella [4.7K]
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3x - 5y = 11 ⇒ 3x + 5y = 11
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                              -14    -14
                                   y = ⁴/₇
                            x - 3y = 1
                           ⁴/₇ - 3y = 1
                         - ⁴/₇        - ⁴/₇
                                -3y = ³/₇
                                 -3     -3
                                   y = ⁻¹/₇
                             (x, y) = (⁴/₇, ⁻¹/₇)
6 0
3 years ago
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