Answer:
x=-13/2
Step-by-step explanation:
13 3/4=55/4
7 1/4=29/4
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55/4+x=29/4
x=29/4-55/4
x=-26/4
simplify
x=-13/2
For this case we have to evaluate the following expression,
We must follow the steps below:
We convert the mixed number into a fraction:
We multiply the fractions, taking into account that:
We simplify:
We convert to mixed number:
Answer:
Answer:
Step-by-step explanation:
The area of the given squares are
Area = 64 in
Area = 225 in
Area = 289 in
The length of each side of a square is determined by finding the square root of its area. For the first square, the length of its side is √64 = 8inches. For the second square, the length of its side is √225 = 15inches. For the third square, the length of its side is √289 = 17inches.
For a right angle triangle to be formed, Pythagorean theorem must be obeyed. Sum of the square of the smaller sides must equal the square of the longer side. Therefore,
8² + 15² = 17²
289 = 289
Therefore, the correct statement is
Yes, a right triangle can be formed because the sum of the areas of the two smaller squares equals the area of the largest square
Answer:
Option B, 105 would be correct
Step-by-step explanation:
The Vertical Angles Theorem states that angles that are opposite diagonally are congruent, therefore; ? = 105°
Hope this helps!
Answer:
C
Step-by-step explanation:
The answer is going to be miles per quart. So B is wrong.
12 gallons allows you to travel 192 miles
1 gallon permits 192 / 12 = 16 miles / gallon. (Must be a truck of some kind).
1 gallon permits 16 miles of driving.
4 quarts (in 1 gallon) permits 16 miles of driving.
1 quart gives 16/4 = 4 miles / quart.
The answer is C.
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There is a slightly shorter way
12 gallons contains 12 * 4 quarts = 48 quarts.
48 quarts permit 192 miles
1 quart permits 192/48 = 4 miles
4miles / quart.
The answer is still C
