Step-by-step explanation:
Let x be the length of segment AB.
Then the length of segment BC is (2x - 4).
The length of segment AC is x.
We know that x + (2x - 4) + x = 52.
Therefore 4x - 4 = 52, 4x = 56, x = 14.
Hence the length of segment AB is 14.
The top is 4ft by 2 ft, area = 4 * 2=8 square feet.
The back is 1 1/2 ft by 4 feet, area = 1.5 *4 = 6 square feet.
The bottom equals the top = 8 square feet.
The front equals the back = 6 square feet.
The left side is 1 1/2 ft by 2 ft = 2 * 1.5 = 3 square feet.
The right side equals the left side = 3 square feet.
Total area = 8 + 6 + 8 + 6 + 3 + 3 = 34 square feet
Answer:
m∠ABD = 88º
m∠CBD = 23º
Step-by-step explanation:
(-10x + 58) + (6x + 41) = 111
Combine like terms
-4x + 99 = 111
Subtract 99 from both sides
-4x = 12
Divide both sides by -4
x = -3
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m∠ABD = -10x + 58
m∠ABD = -10(-3) + 58
m∠ABD = = 30 + 58
m∠ABD = 88º
m∠CBD = 6x + 41
m∠CBD = 6(-3) + 41
m∠CBD = -18 + 41
m∠CBD = 23º
Answer:
3/9
Step-by-step explanation:
Common denominator: 27
24/27 - 9/27 = 15/27 = 3/9
