Answer:
12
Step-by-step explanation:
These triangles are similar using the AA theroem. This means there sides are in corresponding proportion.
Side AR and Side TE are corresponding. Use this proportion.

This side the triangle SAR side lengths are 3/4 of side lengths of triangle SET.
We know that RS+ST=21
And that RS=3/4(ST).


x=12.
Side ST is 12
Answer:2.4km/hr
Step-by-step explanation:
Speed = distance/time
Speed =4.6/2
Speed=2.3km/hr
The decomposition of partial fractions is to start with the simplified reply and then take it apart, to "decompose" the final expression into its initial polynomial fractions.
Given:

To find:
partial fractions=?
Solution:
putting
putting

So, the final answer is "
".
Learn more:
brainly.com/question/22286068
Answer:
3769.92 ft
Step-by-step explanation:
The diameter of the wheel, d= 60 ft
We know the perimeter of the wheel is,
= πd
= 3.1416*60
= 188.496 ft
Wheel travel for 5 minutes. So the wheel travel,
= 5*60
= 300 sec
The wheel rotates in every 15 seconds. So the wheel rotates,
= 300/15
= 20 times
In one rotation, the wheel travels its perimeter. so is 5 minutes it travels,
= 188.496*20
= 3769.92 ft
Answer:
b = 30 degrees
a = 150 degrees
Step-by-step explanation:
Let's call <em>a</em> to the first angle and <em>b</em> to the second one. So we have:
a = 5*b (1)
and it says that the greater angle has 120 degrees more than the lesser angle. So It will be:
a = 120+b (2)
We just need to solve both equations. We can equal both of them.
5b = 120+b
4b = 120
b = 30 degrees
Therefore a = 5*30 = 150 degrees
a = 150 degrees
I hope it helps you!