Answer:
Domestic Stamps: 60
Foreign Stamps: 36
Step-by-step explanation:
96 - 24 = 72
72 ÷ 2 = 36
36 + 24 = 60
d - f = 24
60 - 36 = 24
24 = 24
d + f = 96
60 + 36 = 96
96 = 96
They expect a good test grade A+
Answer:
a=-36
Step-by-step explanation:
1/6(a+12)=-4
1) Distribute <u>1/6</u> to a and 12:
1/6a+2=-4
2) Subtract 2 from both sides:
1/6a=-6
3) Multiply both sides by the reciprocal of 1/6: (6/1)
a=-36
Let me know if you have any confusion on how I reached the solution :)
Answer:
x ≤ 35
Step-by-step explanation:
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
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