m(slope)= change in y/change in x
m=-17-(-5)/3-1
m=17+5/2
m=22/2
m=11
M<J = m<N ( alternate angles)
m<K = m<M ( alternate angles)
so the third angles must also be equal ( total 180 degrees in each triangle)
Therefor the triangles are similar
Answer:
Step-by-step explanation:
We are given that a triangle ABC is a Right Angled Triangle. The side AB is hypotenuse, so the angle opposite to side AB which will be angle C is a Right Angle (measures 90 degrees)
We have the side length of all 3 sides. Based on this information, we can construct a triangle with given measures. The triangle is shown in the attached image.
We have to find the value of Sin(B). Sin of an angle is defined as:

The side opposite to angle B is AC with a length of 3 and hypotenuse is side AB with length 5. So Sin of angle B would be:

Answer:
8
Step-by-step explanation:
The ratio of yellow balloons to the total is ...
... 2:(2+3+2) = 2/7
This fraction of 28 balloons is ...
... (2/7)·28 = 56/7 = 8 . . . . yellow balloons