Answer:
Step-by-step explanation:
<u>Given</u>
- m∠ABC = x°
- m∠BCD = 25°
- m∠CDE = 55°
- m∠DEF = 3x°
Add two more parallel lines passing through points C and D.
Consider alternate interior angles formed by the four parallel lines.
<u>The angles between the two middle lines are equal to:</u>
- m∠BCD - m∠ABC = m∠CDE - m∠DEF
<u>Substitute values and solve for x:</u>
- 25 - x = 55 - 3x
- 3x - x = 55 - 25
- 2x = 30
- x = 15
m∠ABC = 15°
Answer:
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Step-by-step explanation:
Answer:

General Formulas and Concepts:
Order of Operations: BPEMDAS
Midpoint Formula: 
Step-by-step explanation:
<u>Step 1: Define points</u>
J (4, 6)
K (0, -4)
<u>Step 2: Find midpoint</u>
- Substitute:

- Add/Subtract:

- Divide:

(g*f)(0)= (x^3)*(2x+6)
(g*f)(0)= (0^3)*(2(0)+6)
(g*f)(0)= (0)*(0+6)
(g*f)(0)= (0)*(6)
(g*f)(0)= 0
X+y=3
Subtract x from both sides
y=-x+3
Substitute
2x--x+3=6
2x+x+3=6
3x+3=6
Subtract 3 from both sides
3x=3
Divide both sides by 3
x=1