Answer:
Step-by-step explanation:
See the attached image
Question 1:
Since the triangles are congruent, we know that QS = TV
This means that
3v + 2 = 7v - 6
Subtract both sides by 2
3v = 7v - 8
Subtract 7v from both sides
-4v = -8
Divide both sides by -4
v = 2
Plug this value back into 3v + 2 and you get 8.
QS = 8
Since the triangles are congruent
QS = 8 AND TV = 8
Question 2:
So we know that AC = AC because that's a shared side.
It's also given that BC = CD.
In order for two triangles to be congruent by SAS, the angle between the two sides must be congruent.
That means angle C must be congruent to angle C from the other triangle.
Question 3:
We know that AC = AC because it's a shared side.
We also know that angle A from one triangle is equal to angle C from the other.
However, for a triangle to be congruent by SAS, the congruent angle must be between two congruent sides.
In order for us to prove congruence by SAS, AD must be congruent to BC.
Have an awesome day! :)
Answer:
See Explanation
Step-by-step explanation:
<u>Define the variables</u>
Let the entry fee be c and the hourly rate be m
Let the number of hours be x and the total amount be y
<u>Work to solve</u>
For Sami's skate
and 
For Brad's skate
and 
<u>The equations</u>
The equation is derived using: 
For Sami's skate
For Brad's skate
<u>When the cost are the same</u>
To do this, we equate both expressions
i.e.
i.e. the cost are the same at the 4th hour
<u>What is the cost</u>
Substitute 4 for x in any of the equations
<em>The cost is $14.00</em>
The given expression is
81x²y³ + z
When x=3, y=4, z=19, then
81x²y³ + z
= 81*(3²)*(4³) + 19
= 81*9*64 + 19
= 46,675
Answer: D 46,675
