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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7 pounds and 3 ounces equal to 3.27 kg
Step-by-step explanation:
We need to convert 7 pounds and 3 ounces to kilograms.
We know:
1 lb = 16 oz
and 1 kg = 2.2 lb
where lb stands for pounds and oz stands for ounces and kg stands for kilograms.

So, Total pounds = 7+0.1875 = 7.1875
Now, Converting Pounds to kg

So, 7 pounds and 3 ounces equal to 3.27 kg
Keywords: Converting Pounds to Kgs
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Answer:
0.5
Step-by-step explanation:
P(grape or straw) = P(grape) + P(straw) − P(grape and straw)
P(grape or straw) = 0.3 + 0.3 − 0.1
P(grape or straw) = 0.5
100/1200= x/100
cross multiply
(1200 * x)= (100 * 100)
1200x= 10000
divide both sides by 1200
x= 8.333% winning chance
LOSING CHANCE
100% - 8.333%= 91.667%
RATIO OF WINNING TO LOSING
100 tickets= winning chance
1200 total - 100= 1100 losing chance
100:1100
simplify by 100
1:11 odds of winning to losing
ANSWER: The chance of winning is 8.333% and the chance of losing is 91.667% or 1:11.
Hope this helps! :)
Answer: 61.6%
Step-by-step explanation:
The afternoon humidity average is 20% of the morning average.
The morning average is 77% so the afternoon average must be:
= Morning average * ( 1 - percentage decrease)
= 77% * (1 - 20%)
= 77% * 80%
= 61.6%