HELPFind the measurement of 4(Explain)

26°

Step-by-step explanation:

The angle 5 is equal to angle 154° as these are both corresponding angles and corresponding angles are equal.

Angles on a straight line equal 180°, so if we take 154° from 180° we get angle 4, which is 26°

I hope that helped!

XY and WZ are parallel.

Angle 1 + 154° = 180° (Linear pair)

→ Angle 1 = 180 - 154

→ Angle 1 = 26°

Now, Angle 4 = Angle 1 (Alternative interior angles)

→ Angle 4 = 26°

Hence, we got the answer.

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

the equation of the parallel line would be y = 2x + 9

step-by-step explanation:

to start we need to find the slope of the original line. we can do that by looking at the coefficient of x, which is 2

since the slope of the original line is 2 and parallel lines have the same slope, we know the new line will also have 2 slope. now we can use that along with the point given in point-slope form to get the find equation.

y - y1 = m(x - x1)

y - 5 = 2(x + 2)

y - 5 = 2x + 4

y = 2x + 9