Slope is 1/3 for both triangles
Answer:
y=-1/2x+5
Step-by-step explanation:
a line perpendicular to a given line will have a slope that is the negative reciprocal of the given one. this means the slope of the line perpendicular to the given one would be -1/2.
How I got this: 2 as a fraction would be 2/1, so the reciprocal would be 1/2, but we want the NEGATIVE reciprocal, so we multiply the fraction by -1, which gets us -1/2.
Now we know the slope of the equation that passes through (4,3) which is perpendicular to the given line.
y=-1/2x+b
b is the y-intercept, so we use the point (4,3) and the slope we were given to find out b.
when the point's x value is 0, the y value is the y intercept.
Answer:
Step-by-step explanation:
R = 3x + 9y
They told us that R = 7, y = 6
So you can rewrite the equation as:
R = 3x + 9y
7 = 3x + 9(6)
7 = 3x + 54
Subtract 54 from both sides.
7 - 54 = 3x
-47 = 3x
To find x, you need to divide both sides by 3
3x = -47
x = -47/3
Answer:
A complementary angle is 63 degrees and supplementary angle is 153 degrees.
Step-by-step explanation:
Complementary angle:
A complementary angle adds up to 90 degrees, so you have to subtract 27 from 90. 90-27=63
Supplementary angle:
A supplementary angle adds up to 180 degrees, so you have to subtract 27 from 180. 180-27=153
Using the normal distribution, we got that expression for the z-score of her test score is

<h3>What is Normal
Probability Distribution?</h3>
it's a type of probability distribution which is symmetric about the mean, it gives data near the mean are more frequent than data far from the mean.
Given that mean =
and standard deviation =
X=73
we know that formula of z-score is

Hence Z-score can be calculated as

Using the normal distribution, we got that expression for the z-score of her test score is

To learn more about the normal distribution visit : brainly.com/question/24663213