Answer:
19
Step-by-step explanation:
if the triangles are similar then EG/BC = FG/BD
51/(x+4) = 57/(2x-7) cross multiply expressions
102x - 357 = 57x + 228
102x - 57x = 228 + 357
45x = 585 divide both sides by 45
x = 13
BD = 2x -7 and 13×2 - 7 = 19
Answer:
y = 4x + -9
Step-by-step explanation:
The y intercept which is -9, is the point in which the graph crosses the x-axis
In order to find the slope we need to identify two clear points on the graph.
- (0, -9)
- ( 1, -5)
Now that we have our two points we need to find the distance between them.
As you can see on the attachment the distance between the two points is 4 units up and 1 unit to the right, therefore the slope is 4/1 = 4.
Final Answer: y = 4x + -9
This is what we already know:
![\left[\begin{array}{cccc} &YB&NB&total\\YF&45&[unknown]&146\\NF&[unknown]&[unknown]&[unknown]\\total&144&[unknown]&428\end{array}\right]](https://tex.z-dn.net/?f=%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D%20%26YB%26NB%26total%5C%5CYF%2645%26%5Bunknown%5D%26146%5C%5CNF%26%5Bunknown%5D%26%5Bunknown%5D%26%5Bunknown%5D%5C%5Ctotal%26144%26%5Bunknown%5D%26428%5Cend%7Barray%7D%5Cright%5D%20%20%20)
And using this information, we can fill the table out. Remember that everything must add up to the total in the column and row. The complete table looks like this:
![\left[\begin{array}{cccc} &YB&NB&total\\YF&45&101&146\\NF&99&183&282\\total&144&284&428\end{array}\right]](https://tex.z-dn.net/?f=%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D%20%26YB%26NB%26total%5C%5CYF%2645%26101%26146%5C%5CNF%2699%26183%26282%5C%5Ctotal%26144%26284%26428%5Cend%7Barray%7D%5Cright%5D%20)
Using the complete table, we see the fraction for students that only like baseball is
and students who only like football is
. All you need to do is add these fractions together to get your answer.

In short, 200 students only like one of the two sports.
Answer:
4, It is the height of triangle ABC
Step-by-step explanation:
The easy way is to just count. But you can also use the Pythagorean theorem because BDC is a right triangle. First, use the distance formula to find BC.
=5
5^2=BD^2+DC^2
25=BD^2+9
BD=4