Answer:
MP is approximately equal to ON because one side of a rectangle is always the same as another side of a rectangle.
Step-by-step explanation:
Answer:
After the reflection over the line y = -x, the image of the point is: (-3,-2)
Step-by-step explanation:
When a given point is reflected over a line the point only changes place but the distance between the point and the line remains same.
Let (x,y) be a point on the plane
and
y = -x be a line on the plane
When a point is reflected over a line y = -x , the coordinates of the point are exchanged which means x becomes y and y becomes x and both are negated
So (x,y) will become (-y,-x)
Given point is:
(2,3)
After the reflection over the line y = -x, the image of the point is: (-3,-2)
The product would expand to

This is a trinomial, and the only way to make it a binomial is to cancel out a coefficient using our variable
.
So, we can cancel either the linear term or the constant term.
In the first case, we require

In the second case, we require

But
must be a non-zero rational number, so this solution is not feasible.
Answer:
350 girls
Step-by-step explanation:
So,
The secret to solving problems with ratios is to find the value of one unit.
5:7 = 12 units total
To find one unit, divide the total number of students by the total number of units.
600/12 = a
Simplify
50/1 = a
50 = a
The value of each unit is 50.
Now, multiply the units by the numbers in the ratio.
50(5) = b
250 = boys
50(7) = x
350 = x
There are 350 girls.
Answer= 16
Work=
1. Multiply each side by 1/5 (aka divide them by 5). This leaves 3, 4 and 9.
2. Add all the sides. 3 + 4 + 9 = 16. That is the perimeter