Answer:
22⁰
Step-by-step explanation:
By angle sum property :
x + 127 + 31 = 180⁰
x = 180 - 158
x = 22⁰
Answer:
Step-by-step explanation:
If one angle = 90 degrees, then the other 2 added together must also = 90.
There is only 1 answer to this, since the triangle is isosceles..
x + x = 90 Combine
2x = 90 Divide by 2
x = 90/2
x = 45
So both acute angles = 45 degrees.
Answer:
46
Step-by-step explanation:
Because they are alternate, duh
Answer:
x = 3/2 or x = -5/4
Step-by-step explanation:
Solve for x over the real numbers:
8 x^2 - 2 x - 15 = 0
Using the quadratic formula, solve for x.
x = (2 ± sqrt((-2)^2 - 4×8 (-15)))/(2×8) = (2 ± sqrt(4 + 480))/16 = (2 ± sqrt(484))/16:
x = (2 + sqrt(484))/16 or x = (2 - sqrt(484))/16
Simplify radicals.
sqrt(484) = sqrt(4×121) = sqrt(2^2×11^2) = 2×11 = 22:
x = (2 + 22)/16 or x = (2 - 22)/16
Evaluate (2 + 22)/16.
(2 + 22)/16 = 24/16 = 3/2:
x = 3/2 or x = (2 - 22)/16
Evaluate (2 - 22)/16.
(2 - 22)/16 = -20/16 = -5/4:
Answer: x = 3/2 or x = -5/4
