These two angles create what is known as supplementary angles, or 2 angles that add up to 180°. We know this because all horizontal lines are 180° on either side. Since we know the total value of these two angles should equate to 180°, we can set up a simple equation:

$93+(3x+18)=180$

Now, using algebra, we can solve for x:

$111+3x=180$

$3x=69$

$x=23$

Plugging x back into the equation, we get:

$3(23)+18=87$

Therefore, the total angle is equal to 87° and x is equal to 23°.

Hope this helps!

5 0

3 years ago

Use the substitution method to solve the system of equations

Sergeeva-Olga [200]

Answer:

x=1/4

y = -2

(1/4, -2)

Step-by-step explanation:

4x -y =3

y =-8x

substitute y =-8x into the first equation. Everywhere you see y put 8x

4x -y =3

4x - (-8x) =3

4x+8x=3

combine like terms

12x = 3

divide by 12

12x/12x = 3 /12

x = 1/4

now we need to find y

y = -8x

y = -8 * 1/4

y = -2

8 0

3 years ago