Answer:
1 : 12 . . . . sketches : minutes
Step-by-step explanation:
We know 1 hour is 60 minutes, so the given numbers can be written as ...
5 sketches : 60 minutes
and reduced by dividing by 5 to get the ratio ...
sketches : minutes = 1 : 12
1099/54=20.35185185185185
Answer:
roam
Step-by-step explanation:
free points
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
_____
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.
_____
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:
angle LMN is 153 degrees.
Step-by-step explanation:
180 = 15g + 18 +3g; combine like terms
180 = 18g + 18; subtract 18 on both sides
162 = 18g; divide 18 on both sides
g = 9
plug in: 15(9) + 18 = 153
please mark brainliest if I helped you!
