Answer:
x =28
Step-by-step explanation:
We have similar triangles, so we can use ratios
12 8
------ = ----------
12+30 x
Using cross products
12x = 8*(42)
12x = 336
Divide by 12
12x/12 = 336/12
x =28
A rate is a special ratio in which the two terms are in different units. A rate is a little bit different than the ratio, it is a special ratio. For this case, the rate would have units of miles per minutes. We calculate as follows:
rate = 36 miles / 45 min = 0.8 miles per mindistance traveled = 0.8 miles per min ( 60 min ) = 48 miles
Hope this answers the question. Have a nice day.
Answer:
Supplementary angle; x = 14.
Step-by-step explanation:
Angle (9x - 2) and angle (10y + 6) form a straight line, so they form a supplementary angle.
Because angle (9x - 2) and (5x + 54) are corresponding angles, we can set them equal to each other.
9x - 2 = 5x + 54
9x - 5x = 54 + 2
4x = 56
x = 14.
Hope this helps!
Answer:
Slope (m) = 3, y-intercept (b) = -1
Step-by-step explanation:
First, we need to write the equation in y = mx + b.
To do this, add 3x to both sides.
y = 3x - 1 is your result.
Now, we have everything we need to do determine our slope and y-intercept in just this equation alone.
Remember, m = slope and b = y-intercept.
In this equation:
m = 3
b = -1
So your slope is 3, and your y-intercept is -1
