Answer:
⦣ACB = 76º
Step-by-step explanation:
⦣DCB = ⦣BAD because one of the rules of a parallelogram is that opposite angles are equal
⦣BAD = 76º so ⦣ACB = 76º
Slope-intercept form: y = mx + b
(m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis)
For lines to be parallel, they need to have the same slope.
To find the slope (m), use the slope formula:
And plug in the two points
(-2, 7) = (x₁, y₁)
(4, -5) = (x₂, y₂)
(two negative signs cancel each other out and become positive)
Simplify the fraction
m = -2
The slope is -2, so the parallel line's slope is also -2.
Your answer is C
The second part of the trip took 1.5 hours.
Average Speed is the ratio of the total distance travelled to the total time taken to cover that distance. It is given by:
Average Speed = total distance ÷ total time
Given that the distance from the house to the tournament is 210 miles, hence:
Total distance = 210 miles
Also, The journey was in two parts, the first part took 2 hours. Let the second part take t hours. Therefore:
Total time = t + 2
The average speed of 60 miles per hour, hence:
60 = 210 ÷ (t + 2)
60(t + 2) = 210
60t + 120 = 210
60t = 90
t = 1.5 hours
Therefore the second part of the trip took 1.5 hours.
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Answer: 960
Explanation:
If you roll one time the probability is 16
Then if you roll 60 times the probability is:
16 x 60 = 960
Answer:
x=6, y=-2. (6, -2).
Step-by-step explanation:
2x+3y=6
x+y=4
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x=4-y
2(4-y)+3y=6
8-2y+3y=6
8+y=6
y=6-8
y=-2
x+(-2)=4
x-2=4
x=4+2
x=6