You have the answer into the images.
Answer:
We conclude that the value of y = 11 cm.
Step-by-step explanation:
Given that both the figures maintain the congruence of the figures. It means both the figures have the same size.
Thus,
The length of DQ = The length of EL
Given
The length of DQ = 3y - 1
The length of EL = 32 cm
so
The length of DQ = The length of EL
3y - 1 = 32
Adding 1 to both sides
3y - 1 + 1 = 32+1
3y = 33
Dividing both sides by 3
3y/3 = 33/3
y = 11
Thus, the value of y = 11 cm
Therefore, we conclude that the value of y = 11 cm.
Answer:
4. y = 1/2x + 3/2
Step-by-step explanation:
First, we need to change the line that's parallel into slope-intercept form.
-2x + 4y = 8
4y = 2x + 8
y = 1/2x + 2
If it's parallel, then it remains the same. So our slope is 1/2.
To find the y-intercept, you need to plug the coordinates into the equation.
y = 1/2x + b
-1 = 1/2(-5) + b
-1 = -5/2 + b
3/2 = b
y = 1/2x + 3/2