Answer:
12
Step-by-step explanation:
ΔBAD is similar to ΔCBD. So we can write a proportion:
BD / CD = AD / BD
h / 16 = 9 / h
h² = 144
h = 12
Answer:
Step-by-step explanation:
keeping track of family relations can be difficult. If Edna marries your mother’s uncle Charlie, what should you call her? If your father’s cousin’s daughter just had a baby boy, how should you two be introduced? Who is your “great great aunt”, and how can you find your “first cousin twice removed”? Fortunately, a bit of mathematical logic can clarify who should be called what, and why – and even measure the degree of genetic similarity between different relatives.
The answer is: " 40 books " .
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Explanation:
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Let "x" equal the number of books that Jill started with. Solve for "x" :
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x – (1/2)x + 16 = 36 ;
1x – (1/2)) = (1/2)x ;
(1/2)x + 16 = 36 ;
Subtract "16" from EACH SIDE of the equation:
(1/2)x + 16 – 16 = 36 – 16 ;
(1/2)x = 20 ;
Multiply each side of the equation by "2" ;
2*(1/2)x = 20 * 2 ;
to get: x = 40 .
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The answer is: " 40 books " .
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She sold 5 large bracelets.
Answer:
-82, -83, -84
Step-by-step explanation:
Using a variable and corresponding expressions, we can set the sum of the consecutive integers equal to -249 and solve:
first integer: x
second integer: x + 1
third integer: x + 2
x + x + 1 + x + 2 = -249
Combine like terms: 3x + 3 = -249
Subtract 3 from both sides: 3x + 3 - 3 = -249 - 3 or 3x = -252
Divide both sides by 3: 3x/3 = -252/3
Solve for x: x = -84
first integer: -84
second integer: -84 + 1 = -83
third integer: -84 + 2 = -82
