Answer:
y = 3/8x + 1/8
Step-by-step explanation:
The slope of a perpendicular line is the opposite and reciprocal of the original slope.
-8/3 -> 3/8
Find the new y-intercept.
y = 3/8x + b
2 = 3/8(5) + b
2 = 1.875 + b
0.125 = b
y = 3/8x + 1/8
Best of Luck!
The picture in the attached figure
we have
arc XV = 68°∠YUV = 36°
we know that
The measure of the external angle is the semidifference of the arcs that it covers.
therefore
∠YUV =[arc VY-arc XV]/2
arc VY=[2*∠YUV]+arc XV----------> [2*36]+68---------> 140°
the answer is
the measure of arc VY is 140°
Answer:
10.5
Step-by-step explanation:
Because the digit at tenths place in 10.5 is greater than that of in 10.1

Hence, the amount of cholesterol in 6 ounces of lobster will be 128.58 milligrams
Step-by-step explanation:
Given
Cholesterol in 3.5 ounces = 75 mg
Cholesterol in 6 ounces =x= ?
This can be worked out by using proportions
It can be written as:

Hence, the amount of cholesterol in 6 ounces of lobster will be 128.58 milligrams
Keywords: Proportions, Conversion
Learn more about proportions at:
#LearnwithBrainly
Answer:
Our decision rule will be to reject The null hypothesis H0 if the test statistic is less than -1.645, or if it is greater than +1.645.
Step-by-step explanation:
The hypotheses would be;
Null hypothesis;H0: μ = 500
Alternative hypothesis;Ha: μ ≠ 500
Since it's two - tailed at 0.1 level of significance, then each tail will contain 5% or 0.05. From the z-table attached, the corresponding critical value of 0.05 is approximately 1.645 standard deviations from the mean.
Thus, our decision rule will be to reject The null hypothesis H0 if the test statistic is less than -1.645, or if it is greater than +1.645.