Answer:
Step-by-step explanation:
The answer is C.
Answer:
yes
Step-by-step explanation:
The side lengths satisfy the Pythagorean theorem, so the triangle is a right triangle.
7.5² +10² = 12.5²
56.25 +100 = 156.25
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You may recognize that the ratios of side lengths are ...
7.5 : 10 : 12.5 = 3 : 4 : 5
A 3-4-5 triangle is a well-known right triangle, as this is the smallest set of integers that satisfy the Pythagorean theorem. They also happen to be consecutive integers, so form an arithmetic sequence. Any arithmetic sequence that satisfies the Pythagorean theorem will have these ratios.
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If you're familiar with trigonometry, you know the law of cosines tells you ...
c² = a² + b² - 2ab·cos(θ) . . . . where θ is the angle between sides a and b. This reduces to the Pythagorean theorem when θ=90°, which makes cos(θ)=0. If the sides do not satisfy the Pythagorean theorem, cos(θ)≠0 and the triangle is not a right triangle.
Answer: 28.75° and 61.25°
Step-by-step explanation:
A complementary angle equals 90°.
Let the measure of the angle be a
Therefore, its complement will be:
= 90-a.
The complement of an angle is 25 less than 3 times the angles itself can be written as:
90-a = 3a - 25
90 + 25 = 3a + a
115 = 4a
a = 115/4
a= 28.75
Since the angle is 28.75°, the complement will be:
= 90° - 28.75°
= 61.25°
The angles are 28.75° and 61.25°
10
Step-by-step explanation:
To find how long it would take him, one has to divide 400 by 160 and then multiply 5 by what that number is. You multiply 5 by the quotient because that is the number that would make it proportional. 400/160 x 5 is 12.5, meaning that the answer is 12.5 minutes, or A.
