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:
Step-by-step explanation:
6x∧2-7x-3=0
the coefficient of x² multiplied by -3 = -18
we need to look for 2 numbers that when we add it to together it will equate to -7x
+2 and -9 is the answer
6x∧2+2x-9x-3=0
2x(3x+1)-3(3x+1)=0
(2x-3)(3x+1)=0
equate each brackets to 0
2x-3=0 3x+1=0
2x=3 3x=-1
x=3/2 x=-1/3
Answer:
From November to March, the temperature in Alaska is between 0°F/-18°C and -30°F/-35°C, which is very cold. May and September are both often the driest and the wettest months in Alaska's summer.
I hope this helps you
:)
M(b/2 ,c/2 )
Midpoint of BD=((a+d)/2 ,c /2 )
slope of AB = 0
Slope of MN =((c/2-c/2)/ ((a+d)/2-c/2 ))=0
