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!
Hope this helps! Feel free to ask any questions!
Parentheses- parentheses first (in order left to right if there's multiple)
Without- PEMDAS
Answer:
A coefficient number is a number multiplied by a variable.
Step-by-step explanation:
Answer:
$83.30
Step-by-step explanation:
Find how much he will have to pay by multiplying the price by 0.85, since this will calculate what 85% of the price is (with the 15% discount):
98(0.85)
= 83.3
So, he will have to pay $83.30 for the saw