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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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1)The price of a pair of boot was reduced from $80 to $60. By what percentage
Elan Coil [88]

Answer:

1) 25%

2) $17.54

Step-by-step explanation:

1) The boots were reduced from $80 to $60, therefore the total amount they were reduced by in terms of money is $20. To find out what percentage $20 is of $80, you divide.

20/80 = 0.25

0.25 = 25 % (to change a decimal to a percentage, you multiply by 100)

2) 20% = 0.20 (to change a percentage to a decimal, you divide by 100)

To find 20% of $87.70, multiply 0.20 by 87.70.

87.70 x 0.20 = 17.54

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3 years ago
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sammy [17]

Answer:

The answer to your question is VW = 2.2

Step-by-step explanation:

Data

angle = 63°

hypotenuse = ?

adjacent side = 1

Process

To solve this problem use trigonometric functions, the trigonometric function that relates the adjacent side and the hypotenuse is cosine.

        cos α = \frac{adjacent side}{hypotenuse}

solve for hypotenuse

        hypotenuse = \frac{adjacent side}{cos \alpha}

Substitution

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Simplification

         hypotenuse = \frac{1}{0.45}

Result

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3 years ago
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slavikrds [6]
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How do you graph? <br> y=−4/3x+8y
trasher [3.6K]

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8 0
2 years ago
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