Let
x = measure of the angle
y = measure of the supplement
By definition of supplementary, the two angles add to 180 degrees, so
x+y = 180
This is the first equation.
The second equation is y = 3x-16 since we're given the info that "the supplement is 16 degrees less than three times the angle"
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The system of equations is
x+y = 180
y = 3x-16
Focus on the first equation x+y = 180, plug in y = 3x-16, and solve for x
x+y = 180
x+3x-16 = 180 ... y is replaced with 3x-16
4x-16 = 180
4x-16+16 = 180+16
4x = 196
4x/4 = 196/4
x = 49
Because x = 49, we can use this to find y
y = 3x-16
y = 3*49-16
y = 147 - 16
y = 131
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Final Answers:
The measure of the angle is 49 degrees
The measure of the supplement is 131 degrees
Answer:
graph c
Step-by-step explanation:
because it is a more perfect line through the dots then the others, thats how you can always tell
Answer:
1. 1/4+1/4=2/4=1/2
2. Yes
3. i don't know
4. Yes
Step-by-step explanation:
1. 1+1=2 therefore you get 2/4 or 1/2
2. 2/3 is the reduced form of 4/6
3. i honestly dont know
4. 3/4 is the reduced form of 9/12
Answer: (a2)3 = a2 x 3
Step-by-step explanation:
Maybe
Answer:
This test is z test and we reject the organization’s claim .
Step-by-step explanation:
Claim : The mean caffeine content per 12-ounce bottle of a population of caffeinated soft drinks is 37.8 milligrams.
n = No. of samples = 48
The population standard deviation is 12.5 milligrams.
Since n > 30 and population standard deviation is given .
So, we will use z test
Substitute the values in the formula :
Refer the z table for p value
p value = 0.9798
α=0.05
p value > α
So, we accept the null hypothesis.
So, we reject the organization’s claim .
Hence this test is z test and we reject the organization’s claim .