Answer:
x=18
Step-by-step explanation:
Vertical angles are congruent. This means that they are equal to each other. So, to solve set them equal to each other and isolate x. First, set up the equation. Then, subtract x from both sides. Finally, add 11 to both sides and simplify.
1) 
2) 
3)
Answer:
already in standard form
Step-by-step explanation:
the equation of a quadratic in standard form is
y = ax² + bx + c ( a ≠ 0 )
y = x² + 4x + 3 ← is in standard form
with a = 1 , b = 4 , c = 3
20; make both equations equal so whatever you plug in for x will be the same
2(4x+10)=8x+k
8x+20=8x+k
k=20
Answer:
x = 9
Step-by-step explanation:
Step 1: Write equation
4(x - 2) = 3x + 1
Step 2: Solve for <em>x</em>
- <u>Distribute 4:</u> 4x - 8 = 3x + 1
- <u>Subtract 3x on both sides:</u> x - 8 = 1
- <u>Add 8 to both sides:</u> x = 9
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
- <u>Substitute:</u> 4(9 - 2) = 3(9) + 1
- <u>Parenthesis (add):</u> 4(7) = 3(9) + 1
- <u>Multiply:</u> 28 = 27 + 1
- <u>Add:</u> 28 = 28
