<u>Given</u>:
Line m is parallel to line n.
The measure of ∠1 is (4x + 15)°
The measure of ∠2 is (9x + 35)°
We need to determine the measure of ∠1
<u>Value of x:</u>
From the figure, it is obvious that ∠1 and ∠2 are linear pairs.
Thus, we have;

Substituting the measures of ∠1 and ∠2, we get;




Thus, the value of x is 10.
<u>Measure of ∠1:</u>
The measure of ∠1 can be determined by substituting x = 10 in the measure of ∠1
Thus, we have;



Thus, the measure of ∠1 is 55°
Answer:
46
Step-by-step explanation:
5x = 3x - 2 + 34
5x = 3x + 32
2x = 32
x = 16
plug back in
3( 16 ) - 2
48 - 2
46
<span>The probability that I will win this game is 4%
</span>The probability that I will lose this game is 96%
The 1, that is on the left side of the colon, needs to increase in order to increase the probability of winning.
7x - 9 < 12
7x < 12 + 9
7x < 21
x < 21/7
x < 3
1/4x + 8 > 11
1/4x > 11 - 8
1/4x > 3
x > 3 * 4
x > 12
solution : x < 3 or x > 12