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
Answer:
x = 24.27385%
Step-by-step explanation:
We can say 96.4x=23.4
Divide by 96.4: (x=23.4/96.4) = 0.24273858921
x=0.24273858921 so x = 24.27385...%
Answer: The forty second president of the United States was Bill Clinton.
Slope = (y2 - y1)/(x2 - x1)
slope = (-3 -4)/(1 - 1)
slope -7/0
This is an undefined slope because the denominator is 0.
This would be a vertical line.
Answer:
y = 0.5x + 5
Step-by-step explanation:
The equation is in slope- intercept form
y = mx + c ( m is the slope and c the y- intercept )
Given the ordered pair (0, 5 ) then c = 5
Calculate the multiplier using the slope formula
with (x₁, y₁ ( = (0, 5) and (x₂, y₂ ) = (2, 6) ← 2 ordered pairs from the table
m = 
= 0.5, hence
y = 0.5x + 5 ← equation relating x and y
