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:
1.25 minutes, or 1 minute 15 seconds
Step-by-step explanation:
We know that is speed is 0.4 pages per 0.5 minutes. This is 0.8 pages per 1 minute. If we divide 1/0.8, we get 1.25 or 1 minute 15 seconds.
Answer:
(5³)⁹/5¹² = 1
Step-by-step explanation:
(5³)⁹/5¹²
Add the exponents
5¹²/5¹²
Divide
1
<h3>
Answer: 53%</h3>
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Explanation:
The question asks "What percent of females participate in extracurricular activities?" This means we only focus on the second column. There are 36 women, and of this total, 19 are in extracurricular activities.
Dividing the two values leads to approximately 19/36 = 0.52777 which rounds to 0.53
Then we move the decimal to the right two spots to get 53%
Roughly 53% of the female students participate in extracurricular activities.
Answer:
no
Step-by-step explanation:
8, 10, 6
10 - 8 = 2
2 + 6 = 8
