Answer:
The value of x is 7
Step-by-step explanation:
we know that
If two figures are congruent, then the corresponding angles and the corresponding sides are equal
In this problem
Triangles ABC and DEF are congruent
ABC≅DEF
therefore
AB=DE ----> equation A
AC=DF ----> equation B
BC=EF ----> equation C
Substitute the given values in the equation B

Solve for x



therefore
The value of x is 7
The draw in the attached figure
Answer:
Part A) The proportional equation is
Part B) 8 hours of training
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
or
Let
c -----> the cost to hire a dog
h ----> the amount of time in hours
The linear equation is equal to
Sue spent $660 on 12 hours of obedience training for her dog Muffin
Find the value of k (constant of proportionality)

substitute the values

therefore
The linear equation is
For 
Find the value of h
substitute in the equation and solve for h
Answer:
m=0.5 b=1
Step-by-step explanation:
M is the increase in value by one square point via b.
B is the y axis beginning position.
I could be wrong, though.
We have to calculate the volume of the right rectangular prism.
lenght=4 1/2 in=(4+1/2) in=9/2 in
width=5 in
height=3 3/4 in=(3+3/4) in=15/4 in
Volume (right rectangular prism = lenght x width x height.
volume=9/2 in * 5 in * 15/4 in=675/8 in³
we calculate the volume of this little cube.
volume=side³
volume=(1/4 in )³=1/64 in³
Now, we calculate the number of small cubes are needed to fit the right rectangular pris by the rule of three.
1 small cube----------------1/64 in³
x---------------------------------675/8 in³
x=(1 small cube * 675/8 in³) / 1/64 in³=5400 small cubes.
Answer: we need 5400 small cubes to fit the right rectangular prism.