Answer:
Style A shoes sold : <u>152</u>
Style B shoes sold : <u>88</u>
Step-by-step explanation:
Let :
- Style A shoes = x
- Style B shoes = y
Forming equations :
- x = 2y - 24
- 66.95x + 84.95y = 17,652
Substitute the value of x from 1 in 2.
- 66.95 (2y - 24) + 84.95y = 17,652
- 133.90y - 1606.80 + 84.95y = 17,652
- 218.85y = 19258.80
- <u>y = 88</u>
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Finding x :
- x = 2(88) - 24
- x = 176 - 24
- <u>x = 152</u>
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Solution :
- Style A shoes sold : <u>152</u>
- Style B shoes sold : <u>88</u>
Answer:
180, 180, 148, 180, 148
Step-by-step explanation:
The two rules in play here are ...
- the sum of interior angles of a triangle is 180°
- the angles of a linear pair are supplementary (they total 180°)
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The first of these rules answers the first two questions:
- interior angles total 180°
- angles 1, 3, 4 total 180°
We can subtract the measure of angle 1 from both sides of the previous equation to find the sum of the remaining two angles.
- angles 3 and 4 total 148°
The second rule answers the next question:
- angles 1 and 2 total 180°
As before, subtracting the value of angle 1 from both sides of the equation gives ...
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<em>Additional comment</em>
Of course, the subtraction property of equality comes into play, also. For some unknown, X, you have (in both cases) ...
X + 32° = 180°
X +32° -32° = 180° -32° . . . . . . subtraction property of equality
X = 148° . . . . . . . . simplify
In the first case, X is the sum of angles 3 and 4. In the second case, X is angle 2 only.
Answer: The cat is 2/3 times as heavy as the dog.
Step-by-step explanation:
The weight of Priya's cat =
Now, 
The weight of her dog =
Let cat is n times heavy as dog.
Then 
Hence, The cat is 2/3 times as heavy as the dog.
There are 1728 cubic inches in a cubic foot... not sure bout the sketch part.
