Answer:
64°
Step-by-step explanation:
∠RQP = 46°
∠PRQ = 180° - 110° = 70°
∠PRQ + ∠RQP + <u>∠RPQ</u> = 180°
70° + 46 + <u>∠RPQ</u> = 180°
116° + <u>∠RPQ</u> = 180°
Find <u>∠RPQ</u>
<u>∠RPQ</u> = 180° - 116° = 64°
So we have to put the value of 1:3 in a ratio
1 : 3
= 3:y
Ask yourself what do I have to multiply one by to get three ( the answer is three)
Because one side is multiplied by three, you have to multiply the right hand side by three to get y
3*3 is 9
Therefore, the y for 3 hours is 9
Then, we have to make another ratio
1:3
= 5:x
Ask yourself what do I have to multiply by one to get five (the answer is five)
So you multiply the other side by five as well
3*5=15
Therefore, the y for five hours is 15
<h2><u>
Definitions/How to Find It</u></h2>
Mean - The average of all of the numbers. Add up all of the numbers then divide it by the total number of numbers.
Median - The middle number of them all. Put the numbers in order from least to greatest and find the one in the middle.
Mode - The number that appears the most.
Range - The difference between the highest and lowest numbers Subtract the lowest number from the highest number.
<h2><u>
Answers</u></h2>
Mean = 56.6
Median = 53
Mode = 41, 43, 63
Range = 56
Answer:
4) y = 9
5) x = -1
6) y = -5x − 9
Step-by-step explanation:
4) x = 3 is a vertical line with an x-intercept of (3, 0). It has an undefined slope.
A perpendicular line to that will be y = a, which is a horizontal line with a y-intercept of (0, a) and a slope of 0. Since this line passes through (3, 9), the equation of the line must be y = 9.
5) The y-axis is x = 0. A parallel line that includes the point (-1, -2) is x = -1.
6) Parallel lines have the same slope, so:
y = -5x + b
To find the value of b (the y-intercept), plug in the point (-2, 1):
1 = -5(-2) + b
1 = 10 + b
b = -9
y = -5x − 9
