< uji and < pik are corresponding angles
corresponding angles are the angles in matching corners
You haven't shared the given line, so all I can do here is to invent a line and then show you how to write the equation of a new line which is parallel to mine and which has an x-intercept of 4.
My invented line: y = (2/3)x + 3
The new line MUST have the same slope: m = 2/3.
Then y = mx + b becomes y = (2/3)x + b. Find the x-intercept by setting y = 0 and solving for x: (2/3)x = 0 - b. Now replace x with 4 and find b:
-b = (2/3)(4) = 8/3. Then b = -8/3, and the new line is
y = (2/3)x - 8/3.
Answer:
x≤2
Step-by-step explanation:
Answer:
s=P-b/2
Step-by-step explanation:
P-b=2s
P-b/2=s
Answer:
Length: 7
Width: 4
Step-by-step explanation:
We can create a system of equations for this problem, where 
is the width and 
is the length.
The perimeter of a rectangle is twice its length added to twice its width.
The length is 3 more than the width:
We can now substitute in 
as in the equation .
Distribute the first terms:
Combine like terms:
Subtract 6 from both sides:
Divide both sides by 4:
Now we know that w = 4. We can now substitute this inside an equation to find .
Hope this helped!
