About 12.56 units.
Solve for x by plugging in values into Pythagorean theorem.


Simplify

Subtract 144 from both sides

divide both sides by 2

complete the square

take the square root of both sides.

subtract by 6 to get about 17.28 for x.
Plug in values for x to get distance traveled on outside of the yard.
17.28 + (17.28 +12) = 46.56
subtract 34 from the length to get the difference in travel. 46.56-34=12.56
Answer:
Step-by-step explanation:
There is a 1/5 chance she spins a 1. (1/5 = 20% = 0.2)
She spins 20 times:
20 * 0.2 = 4
So she should expect getting 4 twos.
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Answers:
- x = 11
- angle RQS = 106 degrees
- angle SQT = 74 degrees
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Explanation:
Straight angles are always 180 degrees in measure.
The two smaller angles shown add up to 180
(angle RQS) + (angle SQT) = angle RQT
(9x+7) + (6x+8) = 180
(9x+6x) + (7+8) = 180
15x+15 = 180
15x = 180-15
15x = 165
x = 165/15
x = 11
From here, we then know that,
- angle RQS = 9x+7 = 9*11+7 = 99+7 = 106 degrees
- angle SQT = 6x+8 = 6*11+8 = 66+8 = 74 degrees
Note how the two results add to 106+74 = 180 to help confirm the answers.
To find the area you would had to do a an triangle formula so the final answer would be 63 inches
Answer:
Combine like terms
Step-by-step explanation: