Answer:
x=20. y=15
Step-by-step explanation:
in similar triangles the sides are all in proportion. this means:


so:

x=5×4
x=20
and...

y=3×5
y=15
Answer:44
Step-by-step explanation: 60/5 evaluates to 12
Multiply 3 and 12
1
3*(60/5) evaluates to 36
8+3*(60/5) evaluates to 44
Answer:
The equation of the line is 
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:

In which m is the slope and b is the y-intercept(the value of y when x = 0).
Perpendicular lines:
If two lines are perpendicular, the multiplication of their slopes is -1.
Line perpendicular to y = 4x + 4.
This line has slope 4, so our line will have slope:


So

Through (0, -3)
This means that 
So

Answer:
Part A) x=9 and m∠FGH=29°
Part B) m∠HGI=29°
Part C) m∠FGI=58°
Step-by-step explanation:
Part A) Solve for x and find m∠FGH
we know that
m∠FGI=m∠FGH+m∠HGI
If GH bisects FGI
then
m∠FGH=m∠HGI
substitute the values
4x-7=5x-16
solve for x
5x-4x=16-7
x=9
m∠FGH=4x-7
m∠FGH=4(9)-7=29°
Part B) Find the measure of angle HGI
m∠HGI=5x-16
Remember that
m∠FGH=m∠HGI
Verify
m∠HGI=5(9)-16=29° -----> is correct
Part C) Find the measure of angle FGI
m∠FGI=m∠FGH+m∠HGI
substitute the values
m∠FGI=29°+29°=58°
Answer:
72 cubic units
Step-by-step explanation:
V=lwh
l=6
w=4
h=3
6*4*3 = 72
Hope this helps.