1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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.


You might be interested in
(2.5 points) The probability that an airplane accident which is due to structural failure is diagnosed correctly is 0.85 and the
Nikitich [7]

Answer: 0.51

Step-by-step explanation:

This is a conditional probability. The first event is the airplane accident being caused by structural failure. The probability of it being due to structural failure is 0.3 and the probability of it not being due to structural failure is 0.7. The second event involves the diagnosis of the event. If a plane fails due to structural failure, the probability that it will be diagnosed and the results will say it was due to structural failure is 0.85, and the probability that the diagnosis is unable to identify that it was because of a structural failure is 0.15. If the plane were to fail as a result of some other reason aside structural failure, the probability that the diagnosis will show that it was as a result of structural failure is 0.35 and the probability of the diagnosis showing that is is not as a result of structural failure is 0.65. To find the probability that an airplane failed due to structural failure given that it was diagnosed that it failed due to some malfunction, this is the equation;

p = (probability of plane failing and diagnosis reporting that the failure was due to structural failure)/ (probability of diagnosis reporting that failure was due to structural failure)

p = (0.3*0.85)/((0.3*0.85) + (0.7*0.35))

p = 0.51

4 0
2 years ago
How to solve this equation (-14+3/2b)-(1+2/8b) step by step<br> please thank you
zepelin [54]
-14+3/2b-(1+2/8b), then take out the blanket become -14+3/2b-1-2/8b , get 5/4b-15=0 so 5/4b=15 ,get b=15×4÷5. b=12

5 0
3 years ago
Simplify 
aleksandr82 [10.1K]

Answer:

A. 7- i

B. -20 -10i

C. 50

D. -1 +2i

Step-by-step explanation:

7 0
3 years ago
Find the domain and range of the relation.<br> {(3,-2) (2,1) (-1,0) (1,3)}
svp [43]
The domain of the inverse of a relation is the same as the range of the original relation. In other words, the y-values of the relation are the x-values of the inverse.
5 0
2 years ago
What is the slope of the line represented by the equation –5x 2y= 10 ?
Sladkaya [172]
In the equation y=mx+b, the variable m represents the slope of the line. Therefore, the equation -5x+2y=10 can be rearranged into 2y=5x+10. Isolate the y to get y=2.5x+5. The slope of the line is 2.5
7 0
3 years ago
Other questions:
  • Write a word phrase for -5(x - 7)
    13·1 answer
  • Out of a salary of $4500. I kept 1/3 as saving. Out of the remaining money. I spend 50% on food and 20% on house rent. How much
    7·1 answer
  • Write 1.14 × 10 to the third power in standard notation
    9·2 answers
  • Write the general equation for the circle that passes through the points:
    5·1 answer
  • A line contains the points (3, –2) and (–6, –8). Write the equation of the line using point-slope form.
    12·1 answer
  • What is 1 1/4 as a fraction
    9·2 answers
  • There were 60 ducks living in a pond. If the number living at the pond increased by 30%, how many ducks now live at the pond?
    11·1 answer
  • Which is equivalent to the series shown?
    9·1 answer
  • Please help algebra ii!
    9·2 answers
  • Rewrite this expression in simplest form.<br> (40&amp;w)(-2003)2
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!