Answer:
Step-by-step explanation:
3x-3+5x+24+44
3x-3+5×+68
3x+5x-3+68
8x+65
X=65÷8
X=8.125
Answer:
30°
Step-by-step explanation:
First we take the full amount of degrees from points A to C, which is given as 125° then subtract 94°, which is the given amount from points A to D, this results in 30°
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Answer:
m∠RQS = 72°
m∠TQS = 83°
Step-by-step explanation:
m∠RQS +m ∠TQS = m∠RQT
The two angles combine to make a larger angle
So
m∠RQS = (4x - 20)
m∠TQS = (3x + 14)
(4x - 20) + (3x + 14) = 155
Group the Xs and the constants
4x + 3x - 20 + 14 = 155
Combine like terms
7x - 6 = 155
Add 6 to both sides
7x = 161
Divide by 7 on both sides
x = 23
Check:
4(23) - 20 + 3(23) + 14 = 155
92 - 20 + 69 + 14 = 155
155 = 155
But we need to find m∠RQS and m∠TQS. So plug in x = 23 to the values.
m∠RQS = 4(23) - 20 = 72°
m∠TQS = 3(23) + 14 = 83°
Checking:
72 + 83 = 155
You just have to find the angle whose sine is 0.1045. Use the sin-1 key on your calculator ( make sure its set to degrees first)
m < B = 6.000 degrees to nearest thousandth