9514 1404 393
Answer:
30
Step-by-step explanation:
The altitude is the geometric mean of the two segments of the hypotenuse. For some scale factor x, the segments are 1x and 4x, and the altitude is ...
12 = √((1x)(4x)) = 2x
6 = x
So, the length of the hypotenuse is ...
(1x) +(4x) = 5x = 5·6 = 30
The hypotenuse is 30 units long.
Answer:
Linear Pair
Step-by-step explanation:
The kind of angle formed by a and b when put together is a straight angle.
A straight angle means that a+b=180 degrees.
a and b are supplementary.
They are also a linear pair since they are already put together. Meaning, they share a common vertex and a common side while forming a straight angle together.
They aren't complementary because the angles exceed 90 degrees when added together. Complementary angles should add up to 90 degrees exactly.
They aren't vertical angles because they don't happen across from each other in two intersecting lines. (Note: Vertical angles are also congruent.)
They aren't alternate interior because they don't even happen at two different intersections. So we would definitely not go to to that, alternate exterior, same side interior, same exterior, or corresponding angles. Because all of these require the angles to happen at two different intersections.
Find the greatest common factor. In this case it is 3. Divide each group by 3.
15÷3=5 quarters
30÷3=10 dimes
48÷3=16 nickels
Next count them by the coin's value:
5 × 0.25 = $1.25
10 × 0.10 = $1
16 × 0.05 = $0.80
Add them up:
= $3.05 in each group and there are three groups.
So, the greatest number of groups that he can make is 3; there will be 5 quarters, 10 dimes, and 16 nickels in each group, which is worth $3.05 in each group.
Claudia’s skis are 1.5 meters long.