"Supplementary" angles add up to 180°.
Opposite angles are supplementary, so . . .
(12x - 4) + (19x - 2) = 180°
Clear the parentheses: 12x - 4 + 19x - 2 = 180°
Add up all the x's on the left side: 31x - 4 - 2 = 180°
Add up the plain old numbers on the left side: 31x - 6 = 180°
Add 6 to each side: 31x = 186°
Divide each side by 31 : <em>x = 6°</em>
Well ! Now that you know that x = 6° . . .
Angle EPC is (12x - 4)°
That's (12·6 - 4)°
Which is (72 - 4)°
Which is <em>68°</em>
Answer:
y = 6/5x - 2
Step-by-step explanation:
slope is 6/5 with point (5, 4)
y = mx + b
4 = 6/5(5) + b
4 = 30/5 + b
4 = 6 + b
-6 -6
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-2 = b
So, y = 6/5x - 2 is the equation.
Answer:
-4
Step-by-step explanation:
5 - 17 = -12
1 + 3 = 4
-12 x 4 = -48
2 x 6 = 12
-48 ÷ 12 = -4
Answer:
pls mark me as brainliest
Step-by-step explanation:
Using the normal distribution, it is found that x = 3.5 has a z-score of -2, which means that it is 2 standard deviations below the mean.
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In a normal distribution with mean and standard deviation , the z-score of a measure X is given by:
The z-score measures how many standard deviations the measure X is from the mean, above or below.
X∼N(6.5,1.5), which means that .
The measure is
The z-score is:
The measure x = 3.5 has a z-score of -2, which means that it is 2 standard deviations below the mean.
