Answer: x=25
Step-by-step explanation:
7+x=32 (subtract 7)
x=25
a. The value of x is 7
b. The measure of ∠1 is 99°
<h3>Calculating angles </h3>
From the question, we are to solve for x
From the given diagram, we can write that
m∠NMQ + m∠MQN + m∠QNM = 180° (<em>Sum of angles in a triangle</em>)
From the given information,
m∠NMQ = 5x +19
m∠MQN = 8x -11
m∠QNM = 11x + 4
Then,
5x + 19 + 8x -11 + 11x + 4 = 180
Collect like terms
5x + 8x + 11x = 180 - 19 + 11 - 4
24x = 168
∴ x = 168/24
x = 7
Hence, the value of x is 7
b.
Measure of ∠1 + m∠QNM = 180° (<em>Sum of angles on a straight line</em>)
∴ Measure of ∠1 = 180° - m∠QNM
But m∠QNM = 11x + 4
∴ m∠QNM = 11(7) + 4
m∠QNM = 77 + 4
m∠QNM = 81°
Then,
Measure of ∠1 = 180° - 81°
Measure of ∠1 = 99°
Hence, the measure of ∠1 is 99°
Learn more on Calculating angles here: brainly.com/question/25716982
#SPJ1
Answer:
The answer is 15.62
Step-by-step explanation:
To get the answer, you would first multiply 15*0.79 to get 11.85
Then you would multiply 13*0.29 to get 3.77
Lastly, add 11.85 and 3.77 to get your final answer of $15.62
Answer:
0.157 is the proportion of students who smoke.
Step-by-step explanation:
We are given the following in the question:
Number of students who smoke = 58
Number of students who don't smoke = 311
Total number of students surveyed =
Number of students who smoke + Number of students who don't smoke
Proportion of students who smoke =
Thus, 0.157 is the proportion of students who smoke.
i think it's 3/4 though i'm not entirely sure
