A linear pair is a pair of angles that form a line. When added, they will equal 180.
< EFG + < GFH = 180
5n + 20 + 3n + 16 = 180
8n + 36 = 180
8n = 180 - 36
8n = 144
n = 144/8
n = 18
< EFG = 5n + 20.....5(18) + 20 = 110 <==
< GFH = 3n + 16.....3(18) + 16 = 70 <==
Answer:
6.8yards/seconds
Step-by-step explanation:
Speed = Distance/Time
Given the following
Distance covered = 1232 yards
Time taken = 180 seconds
Substitute to get the speed
Speed = 1232/180
Speed = 6.84
Hence whirlwind's speed in yards per seconds to the nearest tenth is 6.8yards/seconds
What is the mode of the following set of data? 34, 23, 12, 11, 11, 25, 25, 26, 25, 27, 30
Olin [163]
1 - B
Mode - The mode the number that appears most often in a data set. In this question, 25 was repeated 3 times and no other ones where repeated 3 times. Thats why 25 is the mode.
2 - D
Median - The middle number of a data set that is arranged from least to greatest.
3 - True
There is no mode because all of the numbers only appear once.
4 - A
5 - C
Answer:
The equation is y= 0,65 x
If x is the price of the ticket without the coupon, and the theater offers a discount if you have a coupon, then having a coupon means that the price a person ultimately pays (y) is the original price (x) minus a 35% of this price: y= x -0.35 x . By association: y= (1-0.35) x and then y= 0.65 x.
The line should be in the first quadrant because the first quadrant allows you to represent a situation in which the dependent variable (y) and the independent variable (x) are both positive. This is the case in this exercise, because both prices, the one without discount (x) and the one with discount (y) are necessary positive (you can not pay a negative price!).
Step-by-step explanation:
The price without discount (or without the coupon) is x.
The price with discount (or with coupon) is y.
y and x are both related: y is a percentage of x, specifically, y is 35% smaller than x. This means that y =0.65 x.
Answer:
If all four angles of a rectangle have the same measure, then it is a square.
