We know that Angle Bisector Divides an Angle into Two Equal Angles.
As UP is the Angle Bisector of Angle U, It Divides Angle U into two Equal Parts they are Angle(1) and Angle(2)
⇒ Angle(1) = Angle(2)
Given Angle(1) = 5x + 10 and Angle(2) = 3x + 14
⇒ 5x + 10 = 3x + 14
⇒ 2x = 4
⇒ x = 2
⇒ Angle(1) = 5x + 10 = 5(2) + 10 = 10 + 10 = 20
So : Measure of Angle(1) is 20
ANSWER
B.Yes, f is continuous on [1, 7] and differentiable on (1, 7).

EXPLANATION
The given

The hypotheses are
1. The function is continuous on [1, 7].
2. The function is differentiable on (1, 7).
3. There is a c, such that:


This implies that;




Since the function is continuous on [1, 7] and differentiable on (1, 7) it satisfies the mean value theorem.
Answer:
b. Kathy
Step-by-step explanation:
We compare each of their score by how far away from the mean when in term of the standard deviation. Using the following formula

For John he is (85 - 75)/5 = 2.
For Kathy she is (80 - 50)/10 = 3.
Since Kathy is 3 standard deviation better than her class' average, while John is only 2's. We conclude that Kathy did better.
Answer: 
Step-by-step explanation:
Here the total numbers are 1, 4, 3, 7, 6
Since the total number of possible arrangement =
The total number of the odd numbers in the given numbers = 3
Thus the possible arrangement that the first three digits will be odd numbers = 
Thus, the probability that the first three digits of Irvings ID number will be odd numbers = the possible arrangement that the first three digits will be odd numbers / total possible arrangement =
= 