Answer:
A = 100 B = 130 C = 150
Step-by-step explanation:
Translated into a system of equations:
A+B+C = 380
B = A+30
C = B + 20
So we find B from the last one:
B = C-20
Plug it in the second one:
C-20 = A+30
A = C-50
Plug it in the first:
C-50 + C-20 + C = 380
3C - 70 = 380
3C = 450
C=150
A = C - 50 = 150 - 50 = 100
B = C - 20 = 150 - 20 = 130
A train leaves the station at time xequals
0.
Traveling at a constant speed, the train travels 328
km in 3.4
h. Round to the nearest 10 km and the nearest whole hour. Then represent the distance, y, the train travels in x hours using a table, an equation, and a graph. give brainliest x
Answer:
P(x < 5) = 0.70
Step-by-step explanation:
Note: The area under a probability "curve" must be = to 1.
Finding the sub-area representing x < 5 immediately yields the desired probability.
Draw a dashed, vertical line through x = 5. The resulting area, on the left, is a trapezoid. The area of a trapezoid is equal to:
(average length)·(width, which here is:
2 + 5
----------- · 0.02 = (7/2)(0.2) = 0.70
2
Thus, P(x < 5) = 0.70
Answer:
I think x=-25
Step-by-step explanation:
Answer:
m∠M = 79°
m∠N = 66°
Step-by-step explanation:
∠MPN is supplementary to ∠MPQ, so m∠MPN = 35
The sum of the measures of a triangle is 180.
So, m∠M + m∠N + m∠MPN = 180
5y + 4 + 4y + 6 + 35 = 180
9y + 45 = 180
9y = 135
y = 15
m∠M = 5y + 4 = 5(15) + 4 = 75 + 4 = 79
m∠N = 4y + 6 = 4(15) + 6 = 66
Another way to do this problem, which is easier, is to know that an exterior angle of a triangle is equal to the sum of the two remote interior angles.
That means 5y + 4 + 4y + 6 = 145
9y + 10 = 145
9y = 135
y = 15
From knowing the value of y you can now find the measures of angles M and N
