Answer:
A. 23+x=140
Step-by-step explanation:
The angle addition postulate states that the measure of a larger angle formed by two or more smaller angles placed side by side is the the sum of the smaller angles. The angle addition postulate states that if B is in the interior of AOC , then:
m∠AOB + m∠BOC = m∠AOC.
From the image:
∠NOP = ∠NOQ + ∠QOP
∠NOP = 140, ∠NOQ = x, ∠QOP = 23
substituting:
140 = x + 23
x = 140 - 23 = 117
∠NOQ = 117°
Answer: B (the lower one)
Step-by-step explanation:
First let's solve for y.
x + 2y = 4
2y = -x + 4
y = -1/2x + 2
It is B since the y intercept for that graph is 2.
Answer:

Step-by-step explanation:
apply the inverse properties of logarithmic and exponential functions to simplify

Inverse property of log says that

we apply this property in our problem. ln has same base 'e' . so ln and e gets cancelled




Simplify the following:
8/(1/3)
Multiply the numerator of 8/(1/3) by the reciprocal of the denominator. 8/(1/3) = (8×3)/1:
8×3
8×3 = 24:
Answer: 24