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2 years ago

I am having trouble with this problem....

Mathematics

1 answer:

Alexeev081 [22]2 years ago

4 0

There 2 angles are corresponding angles, in which the angle measurements would have the same degree.

Set the two angles equal to each other, and solve for x.

7x - 1 = 8x - 14

Isolate the x. Subtract 8x from both sides, and add 1 to both sides

7x (-8x) - 1 (+1) = -14 (+1)

7x - 8x = -14 + 1

-x = -13

Isolate the x. Divide -1 from both sides

(-x)/-1 = (-13)/-1

x = -13/-1

x = 13

13 is your answer for x.

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2 years ago

If M (4.2) is the midpoint of AB and A (-5, -3), find the coordinates of B.

loris [4]

Given:

M(4,2) is the midpoint of AB and A(-5, -3).

To find:

The coordinates of B.

Solution:

Let the coordinates of point B are (a,b).

Midpoint formula:

$Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)$

M(4,2) is the midpoint of AB and A(-5, -3).

$M=\left(\dfrac{-5+a}{2},\dfrac{-3+b}{2}\right)$

$(4,2)=\left(\dfrac{-5+a}{2},\dfrac{-3+b}{2}\right)$

On comparing both sides, we get

$4=\dfrac{-5+a}{2}$

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And,

$2=\dfrac{-3+b}{2}$

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$4+3=b$

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Therefore, the coordinates of point B are (13,7).

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