∠GBE = y (alternate angles)
∠DBG + ∠GBE = 180 (Adjacent angles on a straight line adds up to 180)
⇒ x + y = 180
∠DBG = ∠ABE (Vertially opposite angles)
⇒ x = 5y - 18
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Solve for x and y :
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x + y = 180 -------- (1)
x = 5y - 18 --------- (2)
Sub (2) into (1) :
5y - 18 + y = 180
6x = 198
x = 33 --------- Sub into (1)
x + y = 180
33 + y = 180
y = 147
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Answer: x = 33°, y = 147°
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Answer:
(2,32)
(3,48)
Step-by-step explanation:
2×16=32
3×16=48
Answer:
1. 500
2. 126
3. 615
Step-by-step explanation:
Area of a parallelogram formula: A = bh
20 x 25 = 500
7 x 18 = 126
20.5 x 30 = 615
Answer: It will be (B)
Step-by-step explanation:
Answer:
y=-3/2x+13
Step-by-step explanation:
Convert to slope-intercept form (y=mx+b):
-3x+2y=10
-3x-10+2y=0
-3x-10=-2y
-3/2x-5=y
y=-3/2x-5
Parallel lines have the same slope, so the slope of the equation will be m₁=m₂ where -3/2=-3/2
Solving for b, the y-intercept, we get:
y=-3/2x+b (Equation so far)
7=-3/2(4)+b [Plugging in (4,7)]
7=-12/2+b
7=-6+b
13=b
Therefore, the equation of the line that is parallel to the line -3x+2y=10 and goes through the point (4,7) is y=-3/2x+13
