Answer:
x = 34
Step-by-step explanation:
This is a straight line so the sum of angles must be 180°
4x + 20 + x - 10 = 180 add like terms
5x + 10 = 180 subtract 10 from both sides
5x = 170 divide both sides by 5
x = 34
To calculate each angle we replace x with the value we found
4x + 20 ➡ 4×34 + 20 = 156
x - 10 ➡ 34 - 10 = 24
Hey there! I'm happy to help!
To find the x value of the midpoint, you add the 2 x values and divide by 2.
-8+6=-2
-2/2=-1
For the y value, you do the same thing but with the y values.
7-9=-2
-2/2=-1
Therefore, our midpoint is (-1,-1).
Have a wonderful day! :D
Answer:
60 mph
Step-by-step explanation:
We calculate the combined distance travelled by the two trains in two hours.
As they were 500 miles apart at first, and 300 miles apart after, they have travelled 200 miles together.
I think the question means "one train travels 20 mph faster than the other".
Say the faster train has speed x mph. Then the slower has speed x - 20 mph.
Now, the combined distance travelled in 2 hrs is 2 * (x + x - 20) = 200
2x - 20 = 100
2x = 120
x = 60 mph
