Hi!
You can find the value of x by the fact that as triangle CBE and CKE are congruent. The reason you can see the triangles are congruent is because of the AAS congruence postulate, where if two angles are the same and a non included side are congruent, the triangles are similar. In this case, angle CKE and angle CBE, are congruent, and CEB and CEK are congruent as well. (They're marked out as congruent.) The line CE is congruent to the other CE in the other triangle, because they are the same line.
Since you know the triangles are congruent, according to CPCTC (corresponding parts in congruent triangles are congruent), and line CK is congruent to line CB, line CK is congruent to CB, and has the same measure.
Therefore, you can set the measures of CB (5x - 3) and CK (3x + 1) equal to another and solve for x.
5x - 3 = 3x + 1
5x -3 + 3 = 3x + 1 + 3
5x = 3x + 4
5x - 3x = 3x - 3x + 4
2x = 4
2x / 2 = 4/2
x = 2, or choice C.
Hope this helps!
<h2>
Hello!</h2>
The answers are:
3. Addition property of equality
4.
- Simplification
7. 
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Why?</h2>
To solve the problem, we need to start with the result of the second step:

So,
For the step 3:
Then, for the 3rd step, we have to apply the addition property of equality.
The addition property of equality states that if we add a term to one side of the equality, we need to add it to the other side of the equality, in order to not alterate the equality.
Then, applying the property, we have:

Adding 7 to both sides, we have:

For the step 4:
Now, for the 4th step, we have to simplify the expression:

Then, simplifying, we have:

For the step 7:
Simplificating, we divide each side of the equality by 6:

Have a nice day!
So first we find the change
45 to 15=45-15=30
change is 30
rate of change=(change)/(original)
original=45
change=30
30/45=10/15=2/3=0.66666666=66%
rate of change is 66.66%
a four-sided plane rectilinear figure with opposite sides parallel.
step by step
Answer:
x ≈ 23.31
Step-by-step explanation:
We can use the law of cosines because we know 2 sides and 1 angle.
The general formula for the law of cosines if the triangle sides are a, b,c and α is the angle between sides a and b. c is the missing side.

In our problem the law of cosines is
x = 
x ≈ 23.31