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.
Answer:
(a)205
(b)5 Packages
Step-by-step explanation:
Therefore: 
Therefore, Volume of the lemonade Monica Started with is 
The diameter of the cup =8cm
Therefore, Radius =8/2 =4cm
Height of the Cup =11cm
Volume of a Cone=
The number of cups needed to empty the 10 gallon cooler =37850÷184.31
=205.36
Cups
(b)If the Cups are sold in packages of 50
Number of Package to be bought =205 ÷ 50 =4.1
She would need to buy 5 packages.
6 under par is written as -6
2 over par is written as 2
even par is written as 0
even par is written as 0
Total score: add all the numbers together:
-6 + 2 + 0 + 0 = -4 ( 4 under par).
Answer:
D
Step-by-step explanation:
The quotient is the result of dividing x by 5
The expression is then
15 - 
→ D
