2 angles are complementary if the sum of their measures is 90°.
For example if m(P) = 41° and m(Q)=49°, then P and Q are complementary.
Thus A and B are complementary means that m(A)=m(B)=90°:
(3x+5°) + (2x-15°) =90°
5x-10°=90°
5x=100°
x=20°
Thus
m(A)=3x+5°=3* 20°+5°=60°+5°=65°
m(B)=2x-15°=2*20°-15°=40°-15°=25°
Answer:
See explanation below to use the vertex form to solve a quadratic equation.
Step-by-step explanation:
(x - h)^2 - k = 0, the vertex is (h, -k)
An example below, taking a quadratic equation and completing the square:
x^2 - 2x - 1 = 0
x^2 - 2x = 1
(-2/-2)^2 = 1, add 1 to both sides of the equation.
x^2 - 2x + 1 = 1 + 1
(x - 1)^2 = 2
(x - 1)^2 - 2 = 0
The vertex is (1, -2)
Answer:
C. 49, x-7
Step-by-step explanation:
(A+B)^2 = A^2 + 2AB + B^2
-14x = 2*A*B
where A=x
Therefore B=-7
and (x-7)^2=x^2-14x+49
Answer:
(3m-1)(m+5)
Step-by-step explanation:
Answer:
15.10 km
Step-by-step explanation:
All you would have to do is add 5 km every time you add 1 cm. Then for the .5 you would divide 5 by .5 to get the second part of the answer.
Hope this helps!
I got it wrong I'm sorry!
