The line crossing the two parallel lines forms an allied angle
So using the theory “allied angles add up to 180 degrees” we can find x
76 + x =180
x= 180-76
x=104 (Option B)
Answer:
(16/3,-4)
Step-by-step explanation:
- y=-3/4x & y=3/2x -12
- then solve for x which means -3/4x=3/2x-12
- then the value of x=16/3
- put the x value in one equation
- y=3/4(16/3)
- then the value of y=-4
Answer:
Null Hypothesis, H0 = The pulse rates of men have a standard deviation equal to 10 beats per minute
Alternate Hypothesis, H1 = The pulse rates of men do not have a standard deviation equal to 10 beats per minute
Step-by-step explanation:
The null hypothesis is basically the problem statement i.e
Pulse rates of men have a standard deviation equal to 10 beats per minute
Hence, H0 = The pulse rates of men have a standard deviation equal to 10 beats per minute
The alternate hypothesis will contradict or negate the null hypothesis i.e
H1 = The pulse rates of men do not have a standard deviation equal to 10 beats per minute
Given:
(a+10) and (a+20) are supplementary
To find:
Each angle
Steps:
if 2 angles are supplementary that means they add up to 180°
(a + 10) + (a + 20) = 180
a + 10 + a + 20 = 180
2a + 30 = 180
2a = 180 - 30
2a = 150
a = 150/2
a = 75°
Now let's find value of each angle,
a + 10 = 75 + 10
= 85°
a + 20 = 75 + 20
= 95°
Therefore, the value of each angle is 85° and 95° respectively
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