Answer:
128
Step-by-step explanation:
Hey There!
So the rule about interior angles of a trapezoid
is that the angles that lie on the segments that are not parallel are supplements
so essentially what I'm saying is that angle R and angle U are supplementary angles so to find x we do
180=15x+8+7x-4
step 1 combine like terms
15+7=22
8-4=4
now we have
180=22x+4
step 2 subtract 4 from each side
180-4=176
now we have
176=22x
step 3 divide each side by 22
176/22=8
so x=8
now we plug in 8 to 15x+8
8x15=120
120+8=128
so we can conclude that angle R = 128
Answer: NP = 9 inches
Step-by-step explanation:
In a parallelogram, the opposite sides are equal.
If the length of the longer side is MN, it means that the length of the two opposite longer sides is 2MN.
If the length of the shorter side is NP, it means that the length of the two opposite shorter sides is 2NP.
The perimeter is 2MN + 2NP
If the perimeter of MNPQ is 68 inches, it means that
2MN + 2NP = 68- - - - - - - - - - - -1
In parallelogram MNPQ, side MN is seven inches longer than twice the length of side NP. It means that
MN = 2NP + 7- - - - - - - - - - -2
Substituting equation 2 into equation 1, it becomes
2(2NP + 7) + 2NP = 68
4NP + 14 + 2NP = 68
4NP + 2NP = 68 - 14
6NP = 54
NP = 54/6
NP = 9 inches
Ok so to find the ratio just do 12/16 = 3/4. that's your common ratio.
The formula for sum of infinite :
a / (1 - r)
a is the first term and r is the ratio
which is
16 / (1 - (3/4))
which is
16 / (1/4)
16 * 4
which is 64
Part A: 6w + 12 = 5w + 15
Part B: 6(8) + 12 = 5(8) + 15
48 + 12 = 40 + 15
60 = 55 = Company B equals $55 which is less than $60
Part C: $5 is saved because of the amount of money.
Hope this helps :)
Answer:C
Step-by-step explanation:
