Answer:
x = 12
Step-by-step explanation:
The midsegment VY is half the sum of the parallel bases , that is
VY =
, then
3x + 18 =
(x + 96) ← multiply both sides by 2 to clear the fraction
6x + 36 = x + 96 ( subtract x from both sides )
5x + 36 = 96 ( subtract 36 from both sides )
5x = 60 ( divide both sides by 5 )
x = 12
<span>$38.40 is the simplest interest. </span>
Answer:
Below in bold.
Step-by-step explanation:
If the 3 points are on the circle with the given center then the distance from each point to the center will all be equal. This distance will be the radius of the circle.
Distance of P (2, 5) from the center (4, 2)
= √( (5-2)^2 + (2-4)^2)
= √(9 + 4)
= √13.
For Q (6, -1)this distance is:
= √(6-4)^2 + (-1-2)^2)
= √13.
For R (7, 4) his distance is:
= √(7-4)^2 + (4-2)^2)
= √13
These distances are the same so the points P, Q and R lie on the circle.
The midpoint of PQ
= (2+6)/2 , (5 - 1)/2
= (4, 2).
Which is the center so this verifies the second part.
Answer: x= -3 11/20 Decimal form: x=-3.55
Step-by-step explanation: