x = 4/5
2/5=1/2x
Step 1: Flip the equation.
1/2x=2/5
Step 2: Multiply both sides by 2.
2*(1/2x)=2*(2/5)x=4/5
SA=(a+b+c) h+bh
=(5+12+13)*4+5*12
=20*4+60
=80+60
=140 cm squared
The degree and direction of rotation that takes ΔQRS to ΔQ'R'S' is:
45 degrees; anticlockwise direction.
<h3>What is rotation in math?</h3>
The transformation by rotation refers to the movement of a shape or point in a circular path about a fixed point.
When the shape moves in an anticlockwise direction, it means that It is going in the opposite way as the hands of a clock do.
Learn more about rotation in math:
brainly.com/question/26249005
#SPJ1
7(x-2) + 3(x + 2) = 5(x-6)...distribute thru the parenthesis
7x - 14 + 3x + 6 = 5x - 30...combine like terms
10x - 8 = 5x - 30...subtract 5x from both sides
10x - 5x - 8 = -30....add 8 to both sides
10x - 5x = -30 + 8...combine like terms
5x = - 22
x = -22/5 = - 4 2/5 <==
Answer:
Step-by-step explanation:
Giving:
<u>Swimming</u>
![P(Win[Swim])= 65\%](https://tex.z-dn.net/?f=P%28Win%5BSwim%5D%29%3D%2065%5C%25)
<u>Running</u>
![P(Win[Run])= 85\%](https://tex.z-dn.net/?f=P%28Win%5BRun%5D%29%3D%2085%5C%25)
<u>Required</u>
Determine the probability of winning at running and losing at swimming
First, we calculate the probability of losing at swimming using
Substitute 65% for P(Win)
![65\% + P(Lose[Swim]) = 1](https://tex.z-dn.net/?f=65%5C%25%20%2B%20P%28Lose%5BSwim%5D%29%20%3D%201)
Collect Like Terms
![P(Lose[Swim]) = 1 - 65\%](https://tex.z-dn.net/?f=P%28Lose%5BSwim%5D%29%20%3D%201%20-%2065%5C%25)
![P(Lose[Swim]) = 35\%](https://tex.z-dn.net/?f=P%28Lose%5BSwim%5D%29%20%3D%2035%5C%25)
The required probability is then calculated using:
![Probability = P(Win[Run]) * P(Lose[Swim])](https://tex.z-dn.net/?f=Probability%20%3D%20P%28Win%5BRun%5D%29%20%2A%20P%28Lose%5BSwim%5D%29)
Convert to decimal
