Answer:
8x+24
Step-by-step explanation:
Solve
3 times x = 3x
3 time 8 = 24
+5x
Combine like terms
3x+5x=
8x+24
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Answer:
Case 1:


Case 2:


Case 3: Not possible
Step-by-step explanation:
Given
See attachment for illustration of each case
Required
Find AB and BC
Case 1:
Using Pythagoras theorem in ANB, we have:

This gives:



Take square roots of both sides


To calculate BC, we consider ANC, where:



Collect like terms


Take square roots


So:



Case 2:
Using Pythagoras theorem in ANB, we have:

This gives:


Collect like terms


Take square roots of both sides


To calculate BC, we consider ABC, where:



Collect like terms


Take square roots


Case 3:
This is not possible because in ANC
The hypotenuse AN (24) is less than AC (40)
The equation that has an infinite number of solutions is 
<h3>How to determine the equation?</h3>
An equation that has an infinite number of solutions would be in the form
a = a
This means that both sides of the equation would be the same
Start by simplifying the options
3(x – 1) = x + 2(x + 1) + 1
3x - 3 = x + 3x + 2 + 1
3x - 3 = 4x + 3
Evaluate
x = 6 ----- one solution
x – 4(x + 1) = –3(x + 1) + 1
x - 4x - 4 = -3x - 3 + 1
-3x - 4 = -3x - 2
-4 = -2 ---- no solution

2x + 3 = 2x + 1 + 2
2x + 3 = 2x + 3
Subtract 2x
3 = 3 ---- infinite solution
Hence, the equation that has an infinite number of solutions is 
Read more about equations at:
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<u>Complete question</u>
Which equation has infinite solutions?
3(x – 1) = x + 2(x + 1) + 1
x – 4(x + 1) = –3(x + 1) + 1


Answer:
True, because they are under 180 degrees
"Supplementary angles are two angles with a sum of 18 0 ∘ 180 ^\circ 180∘ . A common case is when they lie on the same side of a straight line."
Answer:
y = -8x + 10
Step-by-step explanation:
y = -8x + b
2 = -8(1) + b
2 = -8 + b
10 = b