<h3>
<u>Explanation</u></h3>
- Given the system of equations.

- Substitute y = -4x in the second equation.

- Substitute the value of x in any given equations. I will substitute the value of x in the first equation.

- Answer Check by substituting both values in two equations.
<u>First</u><u> </u><u>Equation</u>

<u>Second</u><u> </u><u>Equation</u>

Both equations are true for the value of x and value of y.
<h3>
<u>Answer</u></h3>
<u>
</u>
<u>Coordinate</u><u> </u><u>Point</u><u> </u><u>form</u>
<u>
</u>
Answer:
1. diagrams C. D. and F. are adjacent angles, which are angles that share a vertex and side
2. diagram B. are vertical angles
3. diagram A. are complementary angles
4. diagram E. are supplementary angles
5. diagram D. is a linear pair
Answer:
8 ft; 6 m; 28pi ft; 10pi mm
Step-by-step explanation:
1. Radius = diameter/2
16/2=8
Therefore, 8 ft
2. Diameter= radius * 2
3*2=6
Therefore, 6 m
3. Circumference = 2*pi*r
2*pi*14=28pi
Therefore, 28pi ft
4. Circumference = pi*d
Therefore, 10pi mm
I hope this helped and have a good rest of your day!
Solution:
<u>Note that:</u>
- AB = EF
- BC = EG = 6x - 8
- 7x - 19 = 2x + 11
- Perimeter of triangle: 24 + 2x + 11 + 6x - 8
<u>Solving for x:</u>
- 7x - 19 = 2x + 11
- => 7x - 2x = 19 + 11
- => 5x = 30
- => x = 30/5 = 6
<u>Substitute the value of x into the expression (24 + 2x + 11 + 6x - 8): </u>
- 24 + 2x + 11 + 6x - 8
- => 24 + 2(6) + 11 + 6(6) - 8
- => 24 + 12 + 11 + 36 - 8
- => 24 + 12 + 3 + 36
- => 75 units
The perimeter of the triangle ABC is 75 units.