answer.
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]
2 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]2 years ago
6 0

Answer:

XM=5.5

Step-by-step explanation:

i just took the test

astraxan [27]2 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
Se the divergence theorem to calculate the surface integral s f · ds; that is, calculate the flux of f across s. f(x, y, z) = x2
zalisa [80]

f(x,y,z)=x^2y\,\vec\imath+xy^2\,\vec\jmath+5xyz\,\vec k

\implies\nabla\cdot f=2xy+2xy+5xy=9xy

The plane has intercepts in the x,y plane at (4, 0, 0) and (0, 1, 0), so the flux is given by (via the divergence theorem)

\displaystyle\iint_Sf\cdot\mathrm dS=9\int_{x=0}^{x=4}\int_{y=0}^{y=1}\int_{z=0}^{z=4-x-4y}xy\,\mathrm dz\,\mathrm dy\,\mathrm dx=-48

7 0
2 years ago
The regular octagon has a perimeter of 122.4 cm. A regular octagon with a radius of 20 centimeters and a perimeter of 122.4 cent
Mamont248 [21]

A C and E

Step-by-step explanation:

I took the test

6 0
2 years ago
Read 2 more answers
Kelsey buys several pairs of uniform pants for $17.95 each, and a sweater for $24. Jeana shops at a different store and buys sev
Brilliant_brown [7]

Answer:

If both Kelsey and Jeana purchase 6 pairs of uniform pants then they would pay the same amount for their purchases.

Step-by-step explanation:

The information provided is as follows:

  • Kelsey buys several pairs of uniform pants for $17.95 each, and a sweater for $24.
  • Jeana shops at a different store and buys several pairs of uniform pants for $18.95 each, plus a sweater for $18.

The variable <em>x</em> is the number of pairs of pants.

The total cost function for Kelsey will be:

TC_{K}=17.95\cdot x+24

The total cost function for Jeana will be:

TC_{J}=18.95\cdot x+18

Consider that both pay the same total cost for their purchases.

Compute the value of <em>x</em> as follows:

            TC_{K}=TC_{J}

17.95\cdot x+24=18.95\cdot x+18\\\\18.95\cdot x-17.95\cdot x=24-18\\\\x=6

Thus, if both Kelsey and Jeana purchase 6 pairs of uniform pants then they would pay the same amount for their purchases.

7 0
2 years ago
Shelley is self-employed in Texas and recently attended a two-day business conference in New Jersey. After Shelley attended the
MaRussiya [10]

Answer:

The amount deductible by Shelley is $2,929

Step-by-step explanation:

Using the table below as the missing information:

Airfare to New Jersey $ 2,180

Meals $238

Lodging in New Jersey $432

Rental car $198

All the above expenses are fully deductible by Shelley except the meal which is half deductible.

Half of the meal expenses is:

= 238 / 2 = $119

So the amount deductible by Shelley is:

2180 + 119 + 432 + 198

= 2929

Therefore, the amount deductible by Shelley is $2,929

7 0
2 years ago
The size of a television screen is given as 95 cm, correct to the nearest 5 cm.
alexdok [17]

Answer:

The upper bound is 97.5 cm

Step-by-step explanation:

The upper bound is given as the value that is larger than or equal to all values in a data set, for example, in the data set, {3, 6, 16, 23, 25}, an upper bound  is 25, however, where the accuracy of the data is given, the upper bound can be found by the following relation

Where the number is given to the nearest 100, add and subtract  half of hundred to obtain the upper bound and lower bound respectively

For the question, given that the size of the television is given as 95 cm, correct to the nearest 5 cm, we add add half of 5 cm to get the upper bound as follows;

Upper bound = 95 cm + 5/2 cm = 97.5 cm

The upper bound = 97.5 cm.

5 0
2 years ago
Other questions:
  • Simplify: –3(y + 2)2 – 5 + 6y What is the simplified product in standard form? y2 + y +
    5·3 answers
  • Nancy used 14 yards of fabric to make flags for one third of the drill team. How much fabric would Nancy need to make flags for
    9·2 answers
  • During a recent rainstorm, 888 centimeters of rain fell in Dubaku's hometown, and 2.362.362, point, 36 centimeters of rain fell
    5·2 answers
  • Peter mixes 4 1/2 cups of orange juice, 2 1/4 of ginger ale and 6 1/3 cups of strawberry lemonade to make some punch. What is th
    6·1 answer
  • What is the missing step in solving the inequality 5 – 8x &lt; 2x + 3? Add 2x to both sides of the inequality. Subtract 8x from
    7·2 answers
  • You have a friend who claims to psychic. You don't believe this so you test your friend by flipping a coin 20 times and having h
    15·1 answer
  • ? QUESTION
    13·1 answer
  • The students in Mr.Collins class used a surveyor's measuring device to find the angle from their location to the top of a buildi
    5·1 answer
  • The following data represent weights (pounds) of a random sample of professional football players on the following teams. X1 = w
    5·1 answer
  • A jar of 150 jelly beans contains 22 red jelly beans, 38 yellow, 20 green, 28 purple, 26 blue, and the rest are orange.Let B = t
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!