It is 62.5 you will divide 15 out of 24 then multiply by 100
Because base angles are congruent, both angle A and B are congruent. If the two triangles are congruent, then the base angles are the same, meaning 5x=50*. Divide by 10 and you get the answer of x=5. :) Hope this helps!
Perpendicular lines have opposite reciprocals from the original line.
Original line: y=-3/4x+6
Perpendicular line: y=4/3x+b
Solve for b by plugging in the given coordinates (3,9) for x and y respectively.
9=4/3(3)+b
Multiply 4/3*3.
9=4+b
Subtract 4 from both sides.
5=b
Now, with b and the slope, you can write the equation:
y=4/3x+5
I hope this helps :)
Completing the Square
2. Solve the equation by completing the square. Show your work.
x^2 – 30x = –125
Step 1: Add to both sides of the equation. (2 points)
Add 225 both sides of the equation
x^2 – 30x + 225 = –125
+ 225
x^2 - 30x + 225 = 100
Step 2: Factor the left side of the equation. Show your work. (2 points)
Hint: It is a perfect square trinomial.
x^2 - 30x + 225 = 100
Factor the left side of the equation:
(x - 15)^2 = 100
Step 3: Take the square root of both sides of the equation from Step 2. (1 point)
√(x - 15)^2 = √100
Step 4: Simplify the radical and solve for x. Show your work. (1 point)
x - 15 = + - 10
x - 15 = 10
x = 25
x - 15 = -10
x = 5
Solutions x = 25, 5
