17) 146 min.
18) 5 hrs and 31 min
19) -1/6
Y = kx
Plug in what we know:
5 = k(8)
5 = 8k
Divide 8 to both sides:
k = 0.625
Plug this back into the equation along with y = 15:
y = kx
15 = 0.625x
Divide 0.625 to both sides:
x = 24
Alright.
For 7, you'll want to put congruent sides equal to each other, assuming they are parallelograms. So, you'll get the two equations:
3x+2=23
2y-7=9
Solve using GEMDAS/PEMDAS, and you'll get these answers.
3x+2=23
3x=21
x=7
2y-7=9
2y=2
y=1
For 8, you'll want to do the exact same thing, formatting the numbers to equal each other. You'll get these two equations:
3y+5=14
2x-5=17
Solving them would make:
3y+5=14
3y=9
y=3
2x-5=17
2x=22
x=11
For 9, you have to remember that the angle opposite of one angle in a defined parallelogram are congruent. Thus:
130=2h
5k=50
solve them and you get
h=65
k=10
___________________________________________
Hope that helped. Good luck.
Answer:
The length of BC is 17 units
Step-by-step explanation:
we know that
An isosceles triangle has two equal sides and two equal angles
In this problem we have an isosceles triangle
Because
m∠ACB=m∠ABC ----> given problem
so
AC=AB
substitute the given values

solve for x


therefore
The length of BC is 17 units
The question is related to integration and we have to used the following formula




