Answer:
644 cm³
Step-by-step explanation:
Surface area of the composite figure = (surface area of the upper cuboid - base area of upper cuboid) + (surface area of the lower cuboid - base area of the upper cuboid)
✔️Surface area of upper cuboid = 2(LW + LH + WH)
L = 3
W = 3
H = 8
Surface area of upper cuboid = 2(3*3 + 3*8 + 3*8) = 2(9 + 24 + 24) = 114 cm²
✔️Surface area of Surface area of lower cuboid = 2(LW + LH + WH)
L = 12
W = 10
H = 7
Surface area of lower cuboid = 2(12*10 + 12*7 + 10*7) = 2(120 + 84 + 70) = 548 cm²
✔️Base area of upper cuboid = L*W
L = 3
W = 3
Base area = 3*3 = 9 cm²
✅Surface area of the composite figure = (114 - 9) + (548 - 9) = 105 + 539 = 644 cm³
Answer:
The Civil Rights Act of 1964
Step-by-step explanation:
The slope of the line is 4
The Y intercept of the line is -6
Answer:
x = 8
y = 29
Step-by-step explanation:
By verticle angles theorem, the angles with the measure of ( 4x + 17 ), and the angles with the measure of ( y + 20 ) are equal.
Verticles angles theorem states, when two lines intersect, there are four angles formed. The angles opposite to each other will have the same measure or congruent measures.
Hence one can say that;
4x + 17 = y + 20
Inverse operations;
4x + 17 = y + 20
-17 -17
4x = y + 3
-3 -3
4x - 3 = y
Assuming that lines "m" and "n" are parallel, then the angles with the measure of ( 5x + 9 ) and the angles with the measure of ( y + 20 ) are congruent.
When two lines are parallel and are intersected by another line (transversal line), then the angles that are alternate and interior are congruent, in other words, the same measure.
Based on that, one can say;
5x + 9 = y + 20
Earlier it was found that;
y = 4x - 3
Now substitute that into the previous equation, and solve using simplification and inverse operations;
5x + 9 = 4x - 3 + 20
5x + 9 = 4x + 17
-9 -9
5x = 4x + 8
-4x -4x
x = 8
Back solve to find y
y = 4x - 3
y = 4(8) - 3
y = 32 - 3
y = 29
<em>T</em><em>he</em><em> </em><em>right</em><em> </em><em>answer</em><em> </em><em>is</em><em> </em><em>-</em><em>3</em><em>.</em>
<em>Look</em><em> </em><em>at</em><em> </em><em>the</em><em> </em><em>attached</em><em> </em><em>picture</em><em> </em><em>⤴</em>
<em>Hope</em><em> </em><em>it</em><em> </em><em>will</em><em> </em><em>help</em><em> </em><em>u</em><em>.</em><em>.</em><em>:</em><em>)</em>
