Answer:
16
Step-by-step explanation:
Given:
Angle A is 4 degrees greater than the measure of Angle B. Both angles are complementary
Complementary angles have a sum of 90°
Angle A = x + 4° ; Angle B = x
x + 4° + x = 90°
2x = 90° - 4°
2x = 86°
x = 86° ÷ 2
x = 43° ANGLE B.
Angle A = x + 4° ⇒ 43° + 4 = 47°
Given:
Angle D is 5 times the measure of Angle E. These angles are supplementary. This means that their sum is 180°
Angle D = 5x ; Angle E = x
5x + x = 180°
6x = 180°
x = 180° ÷ 6
x = 30° Angle E.
Angle D = 5x = 5(30) = 150°
Answer:
<u>The ages of Paul and Selena are 13 and 7 years old.</u>
Step-by-step explanation:
Age of Paul = x
Age of Selena = x -6
Age of Paul and Selena in 15 years:
x + 15 = 4 (x - 6)
x + 15 = 4x - 24
x - 4x = -24 - 15
- 3x = -39
x = 13
<u>Paul now is 13 years old and Selena is 7 years old. In 15 years, Paul will be 28, that is 4 times the present age of Selena.</u>
Answer:
f(-4) = -18
Step-by-step explanation:
f(-4) means x = - 4
So Plug in x = - 4 into f(x) = 3x - 6
f(-4) = 3(-4) - 6
= -12 - 6
= -18
So
f(-4) = -18
Answer:
a = ln 35
Step-by-step explanation:
Given e^a = 35, take the natural log of both sides, obtaining:
ln e^a = ln 35. Recall that ln e^x = x, which means that ln e^a = a.
Then a = ln 35.
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