Answer:
11.4
Step-by-step explanation:
So we know that Triangle ACB is similar to Triangle EFD.
This means that their sides are proportional to each other.
We want to find x or side AB. To do so, we can set up a proportion.
The proportional side to AB is ED. Let's also use BC since we know its value. The proportional side to BC is DF. Thus:
Substitute x for AB, 3.8 for Ed, 15 for BC, and 5 for DF. Thus:
Reduce the right:
Cross multiply:
So, the value of x is 11.4
And we're done!
9514 1404 393
Answer:
y = 4/5x +13/5
Step-by-step explanation:
The slope is given by the formula ...
m = (y2 -y1)/(x2 -x1)
m = (5 -1)/(3 -(-2)) = 4/5
The y-intercept is given by the formula ...
b = y -mx . . . . for any point (x, y)
b = 1 -(4/5)(-2) = 1 +8/5 = 13/5 . . . . using the first point
So, the equation is ...
y = mx +b
y = 4/5x +13/5
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<em>Additional comment</em>
If you have a bunch of these to do, you may want to make a spreadsheet with the formulas built in. Then you can type in the two points and have it spit out the m and b for your equation. Even if you don't use it to <em>do</em> the work, you can use it to <em>check</em> the work.
Answer:
Step-by-step explanation:
15 can go into both 45 and 150 so you divide both into that
45/15 is 3
150/15=10