Answer:
8x - 14 = 5x + 34 (alternate exterior angles)
8x - 5x = 34 + 14
3x = 48
x = 48/3
x = 16
5y + 16 + 8x - 14 = 180 (linear pair)
5y + 16 + 8(16) - 14 = 180
5y + 16 + 128 - 14 = 180
5y + 130 = 180
5y = 180 - 130
5y = 50
y = 50/5
y = 10
∠ (8x - 14) = 114 [(8 × 16 -14)=114]
∠ (5x + 34) = 114 [(5 × 16 +34)=114]
∠ (5y + 16) = 66 [(5 × 10 +16)=66]
hope this helps you!
Answer:
Mrs. Habib will have 22.25 feet of border left after she puts border around the board.
Step-by-step explanation:
You must find the perimeter of the board and subtract it from the amount of border she has to find how much she will have left after she uses it. The formula for perimeter is 
, where 
the length of the board, and 
the width of the board. You will add those together and multiply them by 2 because there are 4 sides to a rectangle. That means this equation will look like:
Now you can just solve for the perimeter.
The perimeter is 24 feet. That means it will take 24 feet of border to cover her board. In order to find out how much she'll have left over, just subtract 24 from the total amount of border she has.
Therefore Mrs. Habib will have 22.25 feet of border left over after she covers the bulletin board.
3x92 = 276 (first 3 exams)
average of at least 90 (90 x 4 = 360)
360 - 276 = 84
Answer
<span>she needs to score at least 84 on the fourth exam </span><span>in order to guarantee a final average of at least 90</span>
Answer:
1/2
Step-by-step explanation:
Pick two of the x's and y's
The first two columns in the table, the x's are -2 and 0 and the y's are 3 and 4.
The x value changes as a +2 and the y value changes from a +1 from the first two columns. Put the +2 as the denominator and the +1 as the numerator. 1/2
Answer:
D
Step-by-step explanation:
If you subtract -165 from -100 you will get 65.
