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LUCKY_DIMON [66]
3 years ago
11

This figure shows △XYZ . MZ¯¯¯¯¯¯ is the angle bisector of ∠YZX . What is XM ? Enter your answer, as a decimal, in the box. unit

s A triangle with vertices labeled as X, Y, and Z. Side X Z is base. Side Y X contains a midpoint M. A line segment drawn from Z to M bisects angle Y Z X into two parts labeled as Y Z M and X Z M. Angles Y Z M and X Z M are marked with single arc. Side Y Z is labeled 7. Base X Z is labeled 11. Side Y M is labeled 3.5.

Mathematics
2 answers:
Inessa05 [86]3 years ago
6 0

Answer:

XM=5.5

Step-by-step explanation:

i just took the test

astraxan [27]3 years ago
4 0

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}

⇒ \frac{3.5}{MX}=\frac{7}{11}

⇒ MX=5.5 units.

Hence, length of XM is 5.5 units.


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2 years ago
Lorine drew the model below to represent the equation 16 + 28 = blank x (4 + 7). A model with 4 rows of 4 squares and 4 rows of
Mrac [35]

Answer:

Missing Value Is 4 .

Step-by-step explanation:

According To The Question, We Have

  • A model with 4rows*4squares & 4rows*7squares

        Equation is 16+28 = X*(4+7)

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3 years ago
If 3/2 divided by 1/4 =n, then n is between
Mamont248 [21]
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3 years ago
Solve for n: n+516=−1n+516=−1
yaroslaw [1]

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5 0
2 years ago
AnyonE wanna help?????
olga_2 [115]

Answer:

Step-by-step explanation:

a). Let the missing term = a

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   (a + 2x) + 1 = -4x + 1

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   I have assumed p, q and r are the variables at the blank spaces.

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   By comparing both the sides of the equation,

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3 0
2 years ago
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