Answer:
Length of XM is 5.5 units.
Step-by-step explanation:
Given △XYZ where MZ is the angle bisector of ∠YZX . we have to find the length of XM.
A triangle with vertices X, Y, and Z. Side XZ is base. A line segment drawn from Z to M bisects ∠YZX into two parts ∠YZM and ∠XZM.
YZ=7 units, XZ=11 units and YM=3.5 units
By angle bisector theorem which states that an angle bisector of an angle divides the opposite side in two segments that are proportional to the another two sides of the triangle.
Hence, 
⇒ 
⇒ MX=5.5 units.
Hence, length of XM is 5.5 units.
The answer would be A.
Explanation:
If they enter with one car, that’s a price of $3 for the car alone. Because there’s also a fee for each person who enters, and there is a family of 5 who enters, x is representative of the cost for each person who enters. Therefore, there would be 5 x’s and one 3 that when solved would add up to the total of $45 they spent. That would mean A is correct because the equation would be x + x + x + x + x + 3 = 45.
Answer:
a. C = 12x + 110; b. $290
Step-by-step explanation:
a. The polynomial
Let L = cost of flip-flops
and S = cost of sandals
Then
C = L + S
= 40 + 4x + 70 + 8x
= 12x + 110
b. The cost
C = 12 × 15 + 110
= 180 + 110
= $290
The cost of making 15 flip-flops and 15 sandals is $290.
3/4's obviously because the percentage is bigger.
You can take out 2x^3 from both terms making it
2x^3 (15+8x^2)
Answer is B
