Answer:
m∠RQS = 109°
Step-by-step explanation:
<u>Angles on a straight line sum to 180°</u>.
Therefore:
⇒ m∠RQS + m∠SQT = 180°
⇒ (15x + 4) + (10x + 1) = 180
⇒ 15x + 4 + 10x + 1 = 180
⇒ 15x + 10x + 4 + 1 = 180
⇒ 25x + 5 = 180
⇒ 25x + 5 - 5 = 180 - 5
⇒ 25x = 175
⇒ 25x ÷ 25 = 175 ÷ 25
⇒ x = 7
Now that we have found the value of x, substitute this into the expression for m∠RQS:
⇒ m∠RQS = 15(7) + 4
= 105 + 4
= 109°
Learn more about angles here:
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Answer:
20%
a) a train goes 60 mph for 180 miles
50 miles
Step-by-step explanation:
6/30=.20 = 20%
180 miles divided by 60 mph=3 hours
80%x = 40 miles
.8x=40
.8x/.8=40/.8
x=50 miles
The picture in the attached figure
we know that
The inscribed angle measures half of the arc it comprises
so
∠ GHL=(1/2)*[arc LI]
∠ GHL=32°
32°=(1/2)*arc LI
arc LI=32°*2-------> arc LI=64°
∠KLI=(1/2)*[arc LI]-----> ∠KLI=(1/2)*64°-----> ∠KLI=32°
the answer is the option<span>
B. KLI= 32LI=64</span>
Answer:
pls do mark my answer as the brainliest..........
Step-by-step explanation
portion of square empty = 256 - 153.86 = 102.14cm^2