Answer:
m<A = 70 deg
Step-by-step explanation:
The sum of the measures of the angles of a triangle is 180 deg. Add the three measures and set equal to 180. Solve for x. then use the value of x and the expression for m<A to find the measure of angle A.
m<A + m<B + m<C = 180
5x - 25 + 2x + 10 + 3x + 5 = 180
10x - 10 = 180
10x = 190
x = 19
m<A = 5x - 25 = 5(19) - 25 = 95 - 25 = 70
Answer: m<A = 70 deg
<span>Simplifying
(6a + -8b)(6a + 8b) = 0
Multiply (6a + -8b) * (6a + 8b)
(6a * (6a + 8b) + -8b * (6a + 8b)) = 0
((6a * 6a + 8b * 6a) + -8b * (6a + 8b)) = 0
Reorder the terms:
((48ab + 36a2) + -8b * (6a + 8b)) = 0
((48ab + 36a2) + -8b * (6a + 8b)) = 0
(48ab + 36a2 + (6a * -8b + 8b * -8b)) = 0
(48ab + 36a2 + (-48ab + -64b2)) = 0
Reorder the terms:
(48ab + -48ab + 36a2 + -64b2) = 0
Combine like terms: 48ab + -48ab = 0
(0 + 36a2 + -64b2) = 0
(36a2 + -64b2) = 0
Solving
36a2 + -64b2 = 0
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '64b2' to each side of the equation.
36a2 + -64b2 + 64b2 = 0 + 64b2
Combine like terms: -64b2 + 64b2 = 0
36a2 + 0 = 0 + 64b2
36a2 = 0 + 64b2
Remove the zero:
36a2 = 64b2
Divide each side by '36'.
a2 = 1.777777778b2
Simplifying
a2 = 1.777777778b2
Take the square root of each side:
a = {-1.333333333b, 1.333333333b}</span>
Use
y-y1=m(x-x1)
y-(-2)=4(x-1) Now why 4??Because parallel lines have the exact same slope
y+2=4x-4
y=4x-4-2
y=4x-6
Hope it helps!
~Just a teen who listens to music
Pi/3 is in the first quadrant, and all trigonometric functions are positive in the first quadrant,
Therefore, cos pi/3 is positive.
