Answer:
The values of x and y are x = 6 and y = 9Step-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
Answer:
intrest equation
I/PT = R
$680 / $72,000 x 12 years = R
$680 / $864,000 = R
7.8703 = R
or rounded 8%
Step-by-step explanation:
Answer:
Holly's score is an outlier because the mean of the data is 83, and 30 is very far then 83.
The mean is 83
The median is 87
Removing the outlier change the mean because the mean became higher.
The mean was most affected by the outlier because the mean changed to 86. 31
The white of the stars with the blue background is white in a blue field representing a new constellation. The blue on the flag is a primary color, kind of like the center of the attention on the flag. he blue is the first thing your eyes are drawn too.
