Answer:
That guy is correct a because its both greater than and equal to 8
Answer:
Given system of equations:

To solve by substitution, equate the equations and solve for x:

Therefore, the x-values of the solution are
and
.
To find the y-values of the solution, substitute the found values of x into the functions:




Therefore, the solutions to the given system of equations are:
and 
Answer:
17
Step-by-step explanation:
We have two congruent triangles here. Thus, b must be 17.
Answer:
7. 49
8. 10.4
Step-by-step explanation:
7) our hypotenuse is 8, and the side opposite the base of ladder and ground angle is 6, therefore we can use Sin
sin = opposite/hypotenuse
sin(x) = 6/8 = 3/4
sin-1(3/4) = 49
8) using the theorem that alternate exterior angles are congruent
the angle opposite side x is 30
tan = opposite/adjacent
tan(30) = x/18
x = 18tan(30) = 6√(3) = 10.4
you can also use 30-60-90 special right triangles.
the side opposite 30 is x
side opposite 60 is x√(3)
and side opposite 90 is 2x
Answer:
16 year olds had the higher ratio of black belts to brown belts.
Step-by-step explanation:
15 year olds: 8/28 students had black belts
8/28 = 28.6% had black belts
16 year olds: 10/27 students had bald belts
10/27 = 37.0% had black belts