There are two methods to solve this problem. One of them is the typical method and the other one is the short-cut. I will explain the shortcut
Short-cut:
This method is quick and easy, and works with ALL triangles, which is why I suggest you use this. You make proportions. Since the triangles are similar, we can use CPCTC. Thereafter,

Now, you just need to identify the terms, substitute, and solve for the unknown, which would be k.

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So we found k, but it is asking for BE. Therefore, plug in the value of k, which is 11, into the expression for BE, which is k-7.
BE=K-7
k=11
BE=11-7
BE=4
Your answer is 4.
Answer:

Step-by-step explanation:
y = f(x)
y = 2x+3
You need to switch the places of x and y, into this:
x = 2y + 3
Then solve for y:
2y = x-3


Answer:
We need more info, take a picture of the qustion
Step-by-step explanation:
Step-by-step explanation:
Use the Pythagorean Theorem: a^2+b^2=c^2
We can set up the equation like this: 11^2+y^2=61^2
= 121+y^2=3,721
=y^2=3600
= y = 60
Part a) The true inequality statement is: 
Part b) The true inequality statement is: 
Part c) The true inequality is 
Step-by-step explanation:
We are given the two integers are -2 and -5.
Part a)
Write a true inequality statement.
The true inequality statement is: 
Part b)
Subtract-2 from each side of the inequality. Write a true inequality statement.
Subtracting -2 from each side we get:

The true inequality statement is: 
Part c)
Multiply each number by-3. Write a true inequality statement.
Multiplying -3 on both sides:

The true inequality is 
Keywords: Solving inequalities
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