Angles ABC and CBD are complementary - they add up to 90°. This means
(4x + 52°) + (8x - 10°) = 90°
Solve for x :
12x + 42° = 90°
12x = 48°
x = 4°
It follows that angle CBD has measure
4 • 4° + 52° = 16° + 52° = 68°
Points (1, 7) and (-3, 2)
Slope for a line between (x₁, y₁) and (x₂, y₂) , m = (y₂ -y₁) / (x₂- x₁)
The slope for the line joining the two points = (2 - 7) / (-3 - 1) = -5/-4
Slope = 5/4
Hence the perpendicular bisector would have a slope of -1/(5/4) = -4/5
By condition of perpendicularity
For points (1, 7) and (-3, 2),
Formula for midpoints for (x₁, y₁) and (x₂, y₂) is ((x₁ +x₂)/2 , (y₁+ y₂)/2)
Midpoint for (1, 7) and (-3, 2) = ((1+ -3)/2 , (7+2)/2) = (-2/2, 9/2)
= (-1, 9/2)
Since the slope of perpendicular bisector is -4/5 and passes through the midpoint (-1, 9/2)
Equation y - y₁ = m (x - x₁)
y - 9/2 = (-4/5) (x - -1)
y - 9/2 = (-4/5)(x + 1)
5(y - 9/2) = -4(x + 1)
5y - 45/2 = -4x - 4
5y = -4x - 4 + 45/2
5y + 4x = 45/2 - 4
5y + 4x = 22 1/2 - 4 = 18 1/2
5y + 4x = 37/2
10y + 8x = 37
The equation of the line to perpendicular bisector is 10y + 8x = 37
Answer:
50 pounds of beans costs $40
Answer:
-9/7 for the first, 0 for the second the third doesn't exist so also 0 5/3 for the final one
Answer:
The answer is 429 = 3×11×13.
Step-by-step explanation:
You have to divide by prime number :
429 ÷ 3 = 143
143 ÷ 11 = 13
13 ÷ 13 = 1
