Answer:
WVX = 107
Step-by-step explanation:
The exterior angle is equal to the sum of the opposite interior angles
V + W = 157
V + 50 =157
Subtract 50 from each side
V + 50 -50 =157-50
V = 107
Answer:
w=10 feet
l=21feet
Step-by-step explanation:
let width be x
p=2l+2w
p=62
so we form the equation
l=1+2x
w=x
2(1+2x)+2(x)=62
2+4x+2x=62
6x=60
x=10feet
w=10feet
l=1+2x
l=21feet
Answer:
Mean, m = 72
Step-by-step explanation:
It is given that, Carl earned grades of 62, 78, 59, and 89 on four math tests.
It is required to find the mean of his grades.
Mean of a data is given by :
Sum of observations is 62 + 78 + 59 + 89 = 288
Total no of observations are 4
So, mean of his grades is :
So, the mean of his grades is 72.
Answer:
See below.
Step-by-step explanation:
Let the smaller integer be n.
Then the larger integer is n + 2.
"When the smaller integer is added to three times the larger integer, the result is two less than five times the smaller integer."
The correct equation is:
n + 3(n + 2) = 5n - 2
His mistake is not using parentheses on the left side. Since he left out the parentheses, the left side is not "the smaller integer added to three times the larger integer", but rather it is "the smaller integer added to 2 plus 3 times the smaller integer."
n + 3(n + 2) = 5n - 2
n + 3n + 6 = 5n - 2
4n + 6 = 5n - 2
8 = n
n = 8
n + 2 = 10
The integers are 8 and 10.
