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:
About 1.23 standard deviation above the mean
Step-by-step explanation:
From what we have here, we need to calculate the difference between the given value and the mean and divide by the standard deviation
That would be through calculating the z score as follows;
z-score = (x - mean)/SD
where x is the given value
z-score = (87-71)/13 = 1.23
Since the score is bigger than the mean, the correct choice here is that the score is about 1.23 standard deviation above the mean
75/3=25 miles per hour
That's your answer.
Answer:
12 Tables.
Step-by-step explanation:
There are many ways you can solve this with, here is the simplest.
Lets make it as a statement, IF 1 table has 5 chairs THEN how many X tables have 60 chairs.
Make it simplier:
1 Table = 5 Chairs
X Tables = 60 Chairs
using the cross multiplication method you will get
5X = 60
Divide by 5
X = 12
Which means that the room has 12 tables.
For the first question you just need to add up all the sides. so first add all the x numbers and then add all the plain numbers.
a perimeter is the total length around the shape.
