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, ![\frac{YM}{MX}=\frac{YZ}{XZ}](https://tex.z-dn.net/?f=%5Cfrac%7BYM%7D%7BMX%7D%3D%5Cfrac%7BYZ%7D%7BXZ%7D)
⇒ ![\frac{3.5}{MX}=\frac{7}{11}](https://tex.z-dn.net/?f=%5Cfrac%7B3.5%7D%7BMX%7D%3D%5Cfrac%7B7%7D%7B11%7D)
⇒ MX=5.5 units.
Hence, length of XM is 5.5 units.
Answer:
She can buy 62 smoothies
Step-by-step explanation:
Answer:
The answer to your question is: the height of the light pole is 15 ft.
Step-by-step explanation:
See the picture below
Now, we can do proportions to finds the height of the light pole
![\frac{20}{8} = \frac{x}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B20%7D%7B8%7D%20%3D%20%20%5Cfrac%7Bx%7D%7B6%7D)
Solve for x
x = 6(20) / 8
x = 120 / 8
x = 15 ft
Answer:
y=-1/3
Step-by-step explanation:
first combine like terms:
5/y-3/y=-2-4
2/y=-6
now multiply y on both sides:
2=-6y
solve the equation
y=-1/3
Answer:
4 tickets
Step-by-step explanation:
1 ticket is $3.25
2 ticket is $6.5
3 ticket is $9.75
4 ticket is $13
5 tickets is over and makes $16.25