Answer:
c
Step-by-step explanation:
c because 11 and 16 have no GCF other than 1
Answer:
x=10, y=25
Step-by-step explanation:
First, in a trapezoid, the two angles on the same leg (the legs are the opposite sides that are not parallel) add up to 180 degrees. Therefore, 4y as well as (2y+3x) are supplementary. We can write this out as
4y + (2y+3x) = 180
6y+3x = 180
Next, the angles of a triangle add up to 180 degrees. Therefore, as the angles 2y, 4y, and (5x-20) make up a triangle, they add up to 180 degrees. We can write this as
4y + 2y + (5x-20) = 180
6y + 5x -20 =180
Our two equations are thus
6y + 5x - 20 = 180
6y + 3x = 180
If we subtract 6y from both sides in each equation, we can say
5x - 20 = 180-6y
3x = 180-6y
Therefore, we can write
5x-20 = 180-5y = 3x
5x-20=3x
subtract 3x from both sides to make all x variables on the same side
2x-20 = 0
add 20 to both sides to isolate the x and its coefficient
2x = 20
divide both sides by 2 to isolate x
x = 10
Therefore,
x = 10
6y + 3x = 180
6y + 30 = 180
subtract 30 from both sides to isolate the y and its coefficient
6y = 150
y = 25
Answer:
Step-by-step explanation:
You need to find the area of each of the shapes by multiplying the length by the width. Then, you need to add them all together. I won't do it for you because it will make it harder to learn stuff in the future but I told you the formula!!
Answer:
Option A.
Step-by-step explanation:
According to triangle inequality theorem, a triangle exists if the sum of two sides is greater that third side.
Apply this theorem on each combination.
Case I: 
...(1)
Case II: 
...(2)
Case III: 
...(3)
On combining (1), (2) and (3), we get
Therefore, the correct option is A.
Answer:
x + y = 4 Equation 1
y = 2x -1 Equation 2
-2x + y = -1
x + y = 4
Subtract
You will get
- 3x = -5
Divide by -3
-3x / -3 = - 5 /-3
x = 5/3
Substitute x into equation 1
x + y = 4
x = 5/3
5/3 + y = 4
y = 4 - 5/3
y = 7/3
x = 5/3 y = 7/3
Hope this helps.
