Answer:


Step-by-step explanation:
Trapezoid ABCD is isosceles trapezoid, because AB = CD (given). In isosceles trapezoid, angles adjacent to the bases are congruent, then
Since BK ⊥ AD, the triangle ABK is right triangle. In this triangle, AB = 8, AK = 4. Note that the hypotenuse AB is twice the leg AK:
If in the right triangle the hypotenuse is twice the leg, then the angle opposite to this leg is 30°, so,

Since BK ⊥ AD, then BK ⊥ BC and

Thus,

Now,

Answer:

Step-by-step explanation:
Represent the sofa with S and the love seat with L.
So, we have:
--- Total Cost

Required
Determine the value of L
Substitute 2L for S in the first equation.


Divide both sides by 3



<em>Hence, a love seat costs 117.0</em>
<em></em>
<u>Using Graph</u>
See attachment for graph
S is plotted on the y-axis and L is on the x-axis.
The green line represents
while the orange line represents 
When the line of the graph is traced to the x-axis, we have:

Answer:
18.84
Step-by-step explanation:
Circumference = 2πd
where d = diameter
the shape given has a diameter of 6
to find the circumference we simply plug in the value of the diameter as well as π into the formula
formula : C = πd
π = 3.14 and d = 6
C = 3.14(6) = 18.84cm