Answer:
The value of v is 6° and the value of w is 15°
Step-by-step explanation:
we know that
When parallel lines are cut by a transversal line, the same-side exterior angles are supplementary and each pair of alternate interior angles is equal in measure
so
5v=2w -----> equation A
10w+5v=180 ----> equation B
substitute equation A in equation B and solve for w
10w+(2w)=180
12w=180
w=15°
Find the value of v
5v=2w -----> v=2w/5
v=2(15)/5=6°
therefore
The value of v is 6° and the value of w is 15°
Answer:
B.
Step-by-step explanation:
If the population, in this case, weights of golden retriever dogs, follows a normal distribution, then the sample will too, even if the sample size is lower than 30. You only have to worry about the sample size being too small when a problem doesn't explicitly say the distribution from which the samples are drawn is normally distributed.
10 - 5x < 6x - 8
We can treat this inequality like a normal algebraic equation.
<em><u>Add 5x to both sides</u></em>
10 < 11x - 8
<em><u>Add 8 to both sides</u></em>
18 < 11x
<em><u>Divide both sides by 11</u></em>
1.64 < x
X is greater than the value 1.64.
Let's plug the number 2 into each value of x to verify.
10 - 5x < 6x - 8
10 - 5*2) < (6 * 2) - 8
10 - 10 < 12 - 8
0 < 4
It's correct.
Now let's plug 1, which is less than 1.64.
10 - 5x < 6x - 8
10 - 5 < 6 - 8
5 < -2
This is not correct, which means that our answer was correct.
A line which rises to the right means the temperature is increasing with time . Dropping to the right means temperature is decreasing with time. A horizontal line means temperature stays the same for a period of time.
Choices C and D are correct
