Answer:
The values of x and y are x = 6 and y = 9
Step-by-step explanation:
MNOP is a parallelogram its diagonal MO and PN intersected at point A
In any parallelogram diagonals:
- Bisect each other
- Meet each other at their mid-point
In parallelogram MNOP
∵ MO and NP are its diagonal
∵ MO intersect NP at point A
- Point A is the mid-point pf them
∴ MO and NP bisect each other
∴ MA = AO
∴ PA = AN
∵ MA = x + 5
∵ AO = y + 2
- Equate them
∴ x + 5 = y + 2 ⇒ (1)
∵ PA = 3x
∵ AN = 2y
- Equate them
∴ 2y = 3x
- Divide both sides by 2
∴ y = 1.5x ⇒ (2)
Now we have a system of equations to solve it
Substitute y in equation (1) by equation (2)
∴ x + 5 = 1.5x + 2
- Subtract 1.5x from both sides
∴ - 0.5x + 5 = 2
- Subtract 5 from both sides
∴ - 0.5x = -3
- Divide both sides by - 0.5
∴ x = 6
- Substitute the value of x in equation (2) to find y
∵ y = 1.5(6)
∴ y = 9
The values of x and y are x = 6 and y = 9
There is no question? ...
Answer:
Amid record unemployment claims and the disruption of commercial activity caused by the novel coronavirus outbreak, the public’s assessments of the U.S. economy have deteriorated with extraordinary speed and severity. Just 23% of Americans now rate economic conditions in the country as excellent or good, down sharply from 57% at the start of the year.Step-by-step explanation:
11183333.3/10^7 = 1.11x10^-7.
<span>3(9x-9)=16+3(-2x+9)
27x - 27 = 16 - 6x + 27
27x + 6x = 16 + 27 + 27
33x = 70
x = 70/33
x = 2 4/33
In short, Your Answer would be 70/33 or 2 4/33
Hope this helps!</span>
