Answer:
assemble the proof by dragging tiles to the statements and reasons columns.
angles: ~= , <1 , <2 , <3,
lines: | | , p , q ,
statements: <1 and <3 are vertical reasons: given , transitive property , vertical angles theorem , def. of vertical
Step-by-step explanation:
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
Yes, 2:1. This is simple, mate. You just look at the sides and see the ration between them.
Answer:
The correct answer is 22.
You have to simplify the expression by subtracting.
Hoped this helped!
57508.5 and 120, it gives you ounces for first one and then asks for pounds and it gives you the number of ounces per pound on the side so you do 920136/16 and for the second you do the same thing but with the number of feet per yard and you would do 360/3
