Angle a and angle b are complementary angles. The measure of ∠a is 42°.
1 answer:
Remember that complementary angles are the angles whose sum is 90 degrees, so for example if angle 
and angle 
are complementary; then 
.
In our case we have an angle a whose measure is 42° and and angle b, repented by x, whose measure we don't know; similarly:
We can conclude that the equation that represents this situation with x representing the measure of ∠b is <span>42+x=90.</span>
In our case we have an angle a whose measure is 42° and and angle b, repented by x, whose measure we don't know; similarly:
We can conclude that the equation that represents this situation with x representing the measure of ∠b is <span>42+x=90.</span>
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Answer:
Side length of each booth is 8.35 ft approximately.
Step-by-step explanation:
There are 11 companies set up equal sized square booths in a row along one wall of a convention center.
Now, refer the diagram to answer the problem.
It is given area is 1200.
So, length x width =1200
(11x+24)(x+2)=1200
Multiply using FOIL method.
+22x+24x+48=1200
+46x+48-1200=0
+46x-1152=0
Solve using quadratic formula
x=
x=
x=
Simplify it
Simplify to get two values for x.
x=8.35; x=-12.67
Here negative does not work.
Side length of each booth is 8.35 ft.
