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:
16
Step-by-step explanation:
First you want to plug in all the numbers where the letters are
h ( j + i )- k(5) + h
3 ( 2 + 4 )- 1(5) + 3
After this step you will have to distribute the 3 outside the parenthesis. Which you do by multiplying everything in side the parenthesis by the outside number which is three.
6 + 12 - 1(5) + 3
Then you just follow PEMDAS to solve for the rest
6 + 12 - 5 + 3
18 - 5 + 3
13 + 3
16
Answer 38.6
Step-by-step explanation:
21 x .84 = 17.64
17.64 + 21 = 38.64
Answer:
The (prediction) for the number of times the spinner <u>wont</u> land on green is 14 times.
Step-by-step explanation:
First you need to find the possibility it will land on green. since there are 2 green spaces out of 9 possible spaces, there is a 2/9 chance you <u>will</u> get green from spinning. <u>This means there is a 7/9 chance you won't get green from spinning once.</u> By multiplying the fraction by the number of times you will spin, it is most likely you will get green 14 times out of 18 spins.
Answer:
G. 12
Step-by-step explanation:
Rachel = x
Trina = y
x = 2y - 6
x = (2x9) - 6
x = 18 - 6
x = 12
