<u>Given</u>:
Two parallel lines are cut by a transversal and form a pair of alternate interior angles.
One angle measures (6x + 5)° and the other measure (7x - 4)°
We need to determine the measure of each angle.
<u>Value of x:</u>
Since, the two angles are alternate interior angles, then the two angles are congruent.
Thus, we have;
Thus, the value of x is 9.
<u>Measure of each angle:</u>
The measure of each angle can be determined by substituting in the measures of each angle.
Thus, we have;
Thus, the measure of each angle is 59°
Answer:
600
Step-by-step explanation:
6x10^2 = 600
Answer:
0.02
Step-by-step explanation:
Given a normal distribution :
Mean income (m) = 25000
Standard deviation of income (s) = 6000
X ≥ 12000
Using the relation to fund the standardized score :
Zscore =(x - m) / s
Zscore = ( 12000 - 25000) / 6000
Zscore = -13000 / 6000
Zscore = - 2.167
Using a z probability calculator :
P(Z ≤ - 2.167) = 0.015117
= 0.02
Answer:
Choice B is correct answer.
Step-by-step explanation:
We have given an inequality.
4|x – 9| + 6 > 42
We have to find the solution of given inequality.
Adding -6 to both sides of above inequality, we have
4|x – 9| + 6 -6 > 42-6
4|x – 9| + 0 > 36
4|x – 9| > 36
Dividing above inequality by 4 , we have
4|x – 9| > 36
(4|x – 9|) / 4 > 36 / 4
|x – 9| > 9
Applying absolute value property, we have
-9 > x-9 > 9
Adding 9 to both sides of above equation, we have
-9+9 > x-9+9 > 9+9
0 > x > 18
Hence, we can write above inequality as:
x < 0 or x > 18 which is the answer.
