Answer:
x = 30
Step-by-step explanation:
The interior angles of a triangle must always add up to 180.
2x + 2x + 3x - 30 = 180
Add 30 to both sides to seperate variables.
2x + 2x + 3x = 210
Combine like terms.
7x = 210
Divide by 7 to isolate x.
x = 30
Answer:
Average speed = 9.91 m/s
Explanation :
Total distance covered by a runner = 200 m
Time taken to complete this distance = 20.19 sec
We need to find the average of runner speed in meter/sec
We use the speed, distance, time formula

speed = 
Average speed = 9.91 m/s
that's the final answer.
I hope it will help you.
Answer:
Step-by-step explanation:
Function f(x)=|x| is transformed to create function g(x)=|x+4|+3. What transformations are performed to function f to get function g? Select each correct answer.
Function f is translated 4 units to the right.
Function f is translated 3 units to the left.
Function f is translated 4 units down.
(this one is correct) Function f is translated 3 units up.
Function f is translated 4 units up.
(this one is correct) Function f is translated 4 units to the left.
Function f is translated 3 units to the right.
Function f is translated 3 units down.
<h3>
Answer:</h3>
After 16 downloads the charges will equal each other.
<h3>
Step-by-step explanation:</h3>
First set up an equation
x = Downloads
12 + 1x = 5 + 1.5x
Solve
12 + 1x = 5 + 1.5x <- Rewrite your equation
-5 -5 <- Subtract 5 from both sides
8 + 1x = 1.5x <- Simplify
-1x -1x <- Subtract 1 from both sides
8 = 0.5x <- Simplify
8 = 1/2x <- Convert 0.5 to a fraction to make the next step easier
16 = x <- Multiply both sides by 2 to divide by
a fraction