Answer:
35
Step-by-step explanation:
Steps
1. 5x + 105 = 8x because you distributed the 5
2. 105 = 3x because you subtract the 5x on both sides
3. 105/3 = x because you divide the 3 and 105/3 is 35
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:
Direct Variation Use y=kx. Means “y varies directly with x.” k is called the constant of variation. “y varies inversely with x.” k is the constant of variation.
