Option (c) is correct according to me I think it’s helpful
Perpendicular means the slopes are opposite inverse of each other
If line a is slope 2, the perpendicular line to Line a would have a slope - 1/2
Difference in y over difference in x gives slope. If they are opposite inverse values the lines are perpendicular. ( in this case the answer is true.)
Answer:
z = 62
y = 117
Step-by-step explanation:
Z
118 and z are supplementary.
z + 118 = 180 Supplementary angles add to 180. Subtract 118 from both sides.
z = 180 - 118 Do the subtraction
z = 62 Answer
Y
The interior angles of all quadrilaterals (convex) add up to 360 degrees.
y + z + 84 + 97 = 360 Given
62 + y + 84 + 97=360 Add
y + 243 = 360 Subtract 243 from both sides
y = 360 - 243 combine
y = 117 Answer
Answer:
She needs a grade of 71 on her next text.
Step-by-step explanation:
Mean of a data-set:
The mean of a data-set is the sum of all values in the data-set divided by the number of values.
Tammy has scored 82, 78, and 93 on her previous three tests.
Thus, her grades are 82, 78, 93 and x, in which x is her grade in the fourth test.
There are 4 tests.
What score does she need on her next test so that her average (mean) is 81?
We have to find x when the mean is 81. So
![\frac{82 + 78 + 93 + x}{4} = 81](https://tex.z-dn.net/?f=%5Cfrac%7B82%20%2B%2078%20%2B%2093%20%2B%20x%7D%7B4%7D%20%3D%2081)
![253 + x = 324](https://tex.z-dn.net/?f=253%20%2B%20x%20%3D%20324)
![x = 324 - 253](https://tex.z-dn.net/?f=x%20%3D%20324%20-%20253)
![x = 71](https://tex.z-dn.net/?f=x%20%3D%2071)
She needs a grade of 71 on her next text.