(-2,4) and (-4, - 8)
slope = (4 + 8)/(-2+4) = 12/2 = 6
answers are E and B
y - 4 = 6(x + 2)
y + 8 = 6(x + 4)
Answer:
51.7°
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you that ...
Tan = Opposite/Adjacent
tan(D) = EF/FD = 95/75
D = arctan(95/75)
∠D ≈ 51.7°
5.1 and the “1” is repeating
<span>Simplifying
9e + -7 = 7e + -11
Reorder the terms:
-7 + 9e = 7e + -11
Reorder the terms:
-7 + 9e = -11 + 7e
Solving
-7 + 9e = -11 + 7e
Solving for variable 'e'.
Move all terms containing e to the left, all other terms to the right.
Add '-7e' to each side of the equation.
-7 + 9e + -7e = -11 + 7e + -7e
Combine like terms: 9e + -7e = 2e
-7 + 2e = -11 + 7e + -7e
Combine like terms: 7e + -7e = 0
-7 + 2e = -11 + 0
-7 + 2e = -11
Add '7' to each side of the equation.
</span><span>Combine like terms: -7 + 7 = 0
0 + 2e = -11 + 7
2e = -11 + 7
</span><span>Combine like terms: -11 + 7 = -4
2e = -4
Divide each side by '2'.
e = -2
Simplifying
e = -2</span>
Answer:

Step-by-step explanation:
∠YVZ = 180 - 52 - 43 - 38 (Angles on a straight line add up to 180 degrees so if we try to find an unknown angle on the straight line, we need too subtract all the other angles from 180 degrees)
=> ∠YUZ = 47 degrees