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.
The GCF is the number or variables you can get out of a a term or multiple terms, when you get it out you have to be able to multiply it again and get the same terms as before for example the GCF of here is 18xy because both numbers can be divided in 18 and they both share 1 x and 1 y in common... Now divide to get your answer put the GCF outside the parenthesis and the numbers divided inside
18xy(4x + 1) if you do distributive property and multiply it you will get 72x2y+18xy see they match so the GCF of "18xy" is correct....
Hope this helped
Answer: power of a power
Step-by-step explanation:
in the expression (x^4)^9, 4 and 9 are powers. 9 is the power of x^4, so you have to multiply 4 by 9 to get x^36. this means it's a power of a power
Answer:
12.8, 11.6, 10.4, 9.2, 8.0, 6.8, 5.6
3, 1.5, 0.75, 0.375, 0.1875, 0.09375, 0.046875
Step-by-step explanation:
The first one is arithmetic as the pattern is deducting 1.2, second one is geometric as it is dividing 2.