We will represent the length of the rectangle as 
and the width as 
.
From this problem, we can say 
. We can also deduct an equation from the second sentence:
(from substitution)
Using this value for , we can find :
The length of the rectangle is 23 cm and the width of the rectangle is 18 cm.
Y= 2/3x-2
-3y= -2x+6
Divide by -3
In a parallelogram, opposite angles are congruent. However, the same thing cannot be said for the other.
You can label one pair of opposite angles with x and the other 9x.
You also know that each quadrilateral has interior angles that add up to 360 so you can create the equation of
9x+9x+x+x=360
which can be simplified into
20x=360
x=18
Now, you know the angle measures of one pair of opposite angles. to find the other you plug in 18 to our other equation and multiply 9 to get 162.
The angles of the parallelogram is 18,18, 162 and 162.
Note: you can check if this is right if all the angles add up to 360.
Answer:
Step-by-step explanation:
We want to find the sum of all even numbers from 0 to 175.
The series will be:
The explicit formula for this is 
, where 
.
We need to find how many terms are there.
The sum of terms is given by:
Substitute n=88, 
and l=174 to get:
Answer:
y = 2x + 5
Step-by-step explanation:
We have two points,
(-2,1) and
(4,13)
from which we can find the slope, m, where
m = (13-1)/(4--2) = 12/6 = 2
take any of the two points to form the point-slope form
y-y1 = m(x-x1)
y-13 = 2 (x-4)
y = 2x - 8 + 13 =2x+5
Check:
when x = -2, y = 2(-2)+5 = 1 checks.
