A and a' are vertical angles, therefore a' = a
We know: The sum of the measures of triangle is always 180°.
Therefore: a' + b + d = 180° → d = 180° - a - b.
d and c are adjacent angles, therefore d + c = 180°
substitute
180° - a - b+ c = 180° |-180°
-a - b + c = 0 |+a |+b
c = a + b
3x + 7y = 14
Subtract 3x from both sides
7y = -3x + 14
Slope is equal to -3.
Answer: y = 1 and x = 4
Step-by-step explanation:
-8x + 10y = -22
8x - 15y = 17
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- 5y = -5 Add the two equations to eliminate x
y = 1 Solve for y
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8x - 15y = 17 (y = 1) Use y=1 in either equation
8x - 15 = 17
8x = 32
x = 4 Ta da
The defect rate of a company is equal to the probability of a randomly selected sensor from that company being defective.
Breaker's has a 4% defect rate, so the probability that a Breaker's sensor being defective is 4%, or 0.04.
The answer is A) 0.04
Answer:
(- 1, 5.5 )
Step-by-step explanation:
Given (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
[ 0.5(x₁ + x₂), 0.5(y₁ + y₂ ) ]
Here (x₁, y₁ ) = (- 4, 6) and (x₂, y₂ ) = (2, 5 ), thus
midpoint = [ 0.5(- 4 + 2), 0.5(6 + 5) ] = [ 0.5(- 2), 0.5(11) ] = (- 1, 5.5 )