The slope of points (-2,6) and (3,10) is m= 0.8
Answer:
x = 8
y = 21
Step-by-step explanation:
(7x + 12)° and (12x - 28)° are alternate interior angles. Alternate interior angles are congruent. Therefore:
(7x + 12)° = (12x - 28)°
Solve for x
7x + 12 = 12x - 28
Collect like terms
7x - 12x = - 12 - 28
-5x = -40
Divide both sides by -5
-5x/-5 = -40/-5
x = 8
(12x - 28)° + (9y - 77)° = 180° (linear pair)
To find y, plug in the value for x = 8.
12(8) - 28 + 9y - 77 = 180
96 - 28 + 9y - 77 = 180
Combine like terms
- 9 + 9y = 180
Add 9 to both sides
-9 + 9y + 9 = 180 + 9
9y = 189
Divide both sides by 9
9y/9 = 189/9
y = 21
Answer:
89
Step-by-step explanation:
To find the area of the rectangle, you do 13 times 8. That gives you 104. Now, for the triangle, you do 1/2 base times height. That is 1/2 of (13 - (4 + 4)) times 6. That equals 1/2 of 5 times 6. So 5 times 3 is 15. 104 - 15 is 89. I hope this helped and please mark me brainliest! Thanks.
Answer:
20cm
Step-by-step explanation:
Given data
Area= 80cm^2
we know that the expression for the area of a triangle is
A= 1/2B*H
from the given expression 1/2(8h) =80 the base is 8cm
let us substitute to find the height h
1/2(8h) =80
4h=80
h= 80/4
h= 20cm
Hence the heigth h is 20cm
Probability that gear 1 will fail = 5/100 (upto 10 years)
and 8/100 (after 10 years)
Probability that both will fail = 5/100 * 8/100
= 40/10000
= 0.4 %
