Answer:
Step-by-step explanation:
So to get a ratio of plates to bowl, you divide both the numbers by a common multiple, which I found the greatest to be 4. So you divide 52 by 4 and 24 by for to get a ratio of 13 plates to 6 bowls. (Also written as: 13:6, 13/6, or 13 to 6)
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:
The answer is c
Step-by-step explanation:
(7,9) (3,25)
2.Alternate Interior angles theorem.
They given angles are alternate and interior when compared to each other, so they are congruent.
3 Vertical angles theorem.
The two angles are vertical angles and are not congruent.
4 Angle-Angle Similarity Postulate.
Because there are two corresponding angles that are congruent they are similar triangles by the angle-anlge similarity postulate.
