Answer:
B = 65
C = 115
Step-by-step explanation:
Givens
ABCD is a parallelogram
It is lettered in such a way that B is opposite D
B = 3n+20
D = 6n-25
Solution
<B = <D Property of Parallelogram
3n + 20 = 6n - 25 Add 25 to both sides
3n + 20 + 25 = 6n Combine
3n +45 = 6n Subtract 3n from both sides
3n +45 = 6n-3n Combine
45 = 3n Divide by 3
45/3=3n/3
n = 15 Value of n
B = 3n + 20 Find B. Let n = 15
B= 3*15+20 Combine
B = 45 + 20 Combine
B = 65
==================
B and C are supplementary. They add up to 180
B + C = 180
65 + C = 180
C = 180-65
C = 115
Answer:
Step-by-step explanation:
Let's use the addition/elimination method to solve this. If we multiply the first equation through by -1 we can eliminate the x terms. Doing that gives us:
-x + 3y = 3
x + 3y = 9
The x's subtract each other away leaving us with
6y = 12 so
y = 2.
Now we will plug in 2 for y in either of the original equations to solve for x:
x + 3(2) = 9 and
x + 6 = 9 so
x = 3
The coordinate for the solution is (3, 2) or x = 3, y = 2
The second choice down is the one you want.
Answer:
9 ≤ p
Step-by-step explanation:
-18 ≤ -3p
-18/-3 ≤ p
9 ≤ p
Answer:
8 inches on each side
Step-by-step explanation:
