Answer:
x = 3
Step-by-step explanation:
Recall: Opposite angles in an inscribed quadrilateral are supplementary.
Thus,
m<R = 180 - m<P
m<R = 180 - 110
m<R = 70°
Recall: measure of inscribed angle = half of the intercepted arc
Thus:
m<R = ½(arc KPQ)
70 = ½(50 + 30x)
Multiply both sides by 2
2*70 = 50 + 30x
140 = 50 + 30x
140 - 50 = 50 + 30x - 50
90 = 30x
90/30 = 30x/30
3 = x
x = 3
A. 32°
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If the ratio of model train to real train is 1:3 and the real train is 12 feet then the model train is 3 feet long.
Given that the model train has a scale of 1:3 and the real train is 12 feet tall.
We are required to find the height of the model train.
Ratio shows how many times one number contains another number. A ratio is the relationship in quantity between two things. It expresses quantity of one thing in terms of another.
Ratio of model train to real train is 1 inches :3 inches.
Height of model train=12*1/4
=3 inches
Hence if the ratio of model train to real train is 1:3 and the real train is 12 feet then the model train is 3 feet long.
Learn more about ratio at brainly.com/question/2328454
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Answer:
45 because 188 divided by 4 is 47 but subtract 2 bc there is not a sprinkler at either end and you get 45
Answer:
-50k+27
Step-by-step explanation:
=(−5)(1)+(−5)(2k)+(−8)(−4)+(−8)(5k)
=−5+−10k+32+−40k
Combine Like Terms:
=−5+−10k+32+−40k
=(−10k+−40k)+(−5+32)
=−50k+27