Ratio triangle height to square side 7:8
ratio triangle base to square side 1:2
Area of the square is 64 in² then the sides = 8 in
ratios give
h = 7(8)/8
h = 7
b = 8/2
b = 4
Area Triangle = 0.5(7)(4)
= 14
Then shaded region is the Area of the square minus the Area of the triangle.
A = 64 - 14
A = 50 in²
Answer: 12(4j + 5k + 2)
Step-Step-Explanation: Factor 12 out of 48j + 60k + 24
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To answer this question, you must first isolate the given variable, a. Treat the < sign as an equal sign, in that what you do to one side, you do to the other.
Do the opposite of PEMDAS. PEMDAS is the order of operations, and stands for:
Parenthesis
Exponents (& roots)
Multiplications
Divisions
Additions
Subtractions
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First, subtract 8a and add 6 to both side inequality.
a (-8a) - 6 (+6) < 15 (+6) + 8a (-8a)
a - 8a < 15 + 6
-7a < 21
Next, isolate the variable, a, by dividing -7 from both sides of the equation. Note that, when dividing or multiplying by a negative number, you must flip the sign:
(-7a)/-7 < (21)/-7
a < 21/-7
a > -3
a > -3 is your answer.
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Answer:
The chicken closed the road.
And then he crawled up the spot
and come over the duck
