Angle A and C equal eachother
4p+12=36
-12 both sides
4p=24
÷4 both sides
p=6
9514 1404 393
Answer:
10
Step-by-step explanation:
The distance formula is useful.
d = √((x2 -x1)^2 +(y2 -y1)^2)
d = √((7 -1)^2 +(12 -4)^2) = √(6^2 +8^2) = √(36 +64) = √100
d = 10
The distance between P and Q is 10.
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<em>Additional comment</em>
You may recognize the run : rise ratio of 6 : 8 = 3 : 4. This suggests a 3-4-5 right triangle with a scale factor of 2. If you're familiar with that Pythagorean triple, you can write down the answer as soon as you see the rise and run numbers.
17 = p - 3 - 3p
Add 3 to 17.
20 = p - 3p
Combine p and 3p (addition)
20 = -2p
Divide by (-2p) to find p.
Since a negative divided by a negative equals a positive, -p would turn into a positive p.
-10 = p
