We know that the right triangle has one 90 degree angle and two acute (< 90 degree) angles. Since the sum of the angles of a triangle is always 180 degrees.
<u>To find x:</u>
(10x - 20) + (6x + 8) = 180
16x - 12 = 180
+12 +12
16x = 192
----- -----
16 16
x = 12
<u>Check:</u>
(10(12) - 20) + (6(12) + 8) = 180
(120 - 20) + (72 + 8) = 180
100 + 80 = 180
180 = 180
<u>Angle (10x - 20):</u>
(10(12) - 20)
(120 - 20)
100
<u>Angle (6x + 8):</u>
(6(12) + 8)
(72 + 8)
80
Answer:
Let a be the width and b the length
a+3=b
a*b=54
a(a+3)=54
a^2+3a-54=0
a=6
The answer is 200 points. Because when you add this 200 to her first 200 points, you will get her final points which is 400 points. Hope I was able to help.
Answer:
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Step-by-step explanation:
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