Mathematics, 07.11.2020 08:50 alliemeade1

Given m∥n, find the value of x and y.
will give brainiest

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Answer from: milkshakegrande101

The values of x and y are 15 and 63, respectively

The angles in the figure are: (9x - 7)° and (4x - 8)°

These angles are adjacent angles.

So, we have:

$\mathbf{9x - 7 + 4x - 8 = 180}$

Collect like terms

$\mathbf{9x + 4x = 180 + 8 + 7}$

$\mathbf{13x = 195}$

Divide both sides by 13

$\mathbf{x = \frac{195}{13}}$

$\mathbf{x = 15}$

Also, we have:

$\mathbf{2y + 2 = 9x - 7}$ -- interior angles

Subtract 2 from both sides

$\mathbf{2y = 9x - 9}$

Substitute 15 for x

$\mathbf{2y = 9\times 15 - 9}$

$\mathbf{2y = 126}$

Divide both sides by 2

$\mathbf{y = 63}$

Hence, the values of x and y are 15 and 63, respectively

Read more about angles in parallel lines at:

link

Answer from: joytheqt305

The value of x and y are x = 15 and y = 63

Step-by-step explanation:

If two adjacent angle formed a straight line, then the two angles formed a pair of linear anglesThe sum of the measures of the linear angles is 180°

From the given figure

∵ The angles of measures (9x - 7)° and (4x - 8)° are adjacent angles

∵ The angles of measures (9x - 7)° and (4x - 8)° formed a line

∴ They formed a pair of linear angles

∵ The sum of the measures of the linear angles is 180°

→ That means add them and equate the sum by 180

∴ (9x - 7) + (4x - 8) = 180

→ Add the like terms

∵ (9x + 4x) + (-7 + -8) = 180

∴ 13x + (-15) = 180

→ Remember (+)(-) = (-)

∴ 13x - 15 = 180

→ Add 15 to both sides

∴ 13x - 15 + 15 = 180 + 15

∴ 13x = 195

→ Divide both sides by 13

∵ $\frac{13x}{13}$ = $\frac{195}{13}$

∴ x = 15

∵ Lines m and n are parallels

∵ A line intersected them

∵ The angles of measures (2y + 2), (9x - 7) are interior alternate angles

∵ The interior alternate angles are equal in measures

∴ 2y + 2 = 9x - 7

∵ x = 15

→ Substitute the value of x

∴ 2y + 2 = 9(15) - 7

∴ 2y + 2 = 135 - 7

∴ 2y + 2 = 128

→ Subtract 2 from both sides

∴ 2y + 2 - 2 = 128 - 2

∴ 2y = 126

→ Divide both sides by 2

∴ $\frac{2y}{2}$ = $\frac{126}{2}$

∴ y = 63

Answer from: Quest

Find 2 numbers multiply those 2 numbers the answer will be -30 but if add them together will get 7so 10 and -3 are the two numbers10(-3) = -3010+(-3) = 7(x-3)(x+10) hope this !
Which of the following represents the factorization of the trinomial below? x^2+7x-30

Which of the following represents the factorization of the trinomial below? x^2+7x-30

Answer from: Quest

answer: huh

step-by-step explanation:

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