Find the measure of the (2y-1)° angle

69 degrees

Step-by-step explanation:

1) Find x

The angles measured x degrees and (x-28) degrees have a sum of 180 degrees because straight lines always have a measure of 180 degrees. Knowing this, construct the equation:

Add 28 to both sides

Divide both sides by 2

Therefore, x is equal to 104 degrees.

2) Find the measure of the (x-28) degree angle

Plug x into x-28

Therefore, the measure of this angle is 76 degrees.

3) Find y

All the interior angles in any triangle will add up to 180 degrees. Knowing this, we can construct another equation:

Open up the parentheses

Subtract both sides by 75

Divide both sides by 3

Therefore, y is equal to 35 degrees.

4) Find the measure of the (2y-1) degree angle

Plug y into 2y-1

Therefore, y is equal to 69 degrees.

I hope this helps!

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

b. would be the answer : )

step-by-step explanation:

step 1: add -16x to both sides.

16x−4y+−16x=64+−16x  

−4y=−16x+64

step 2: divide both sides by -4.

−4y /-4 = -16x + 64/-4

answer:   y=4x−16

hope i'm right