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
Norma-Jean [14]
3 years ago
5

Point A is the point of concurrency of the angle bisectors of ΔDEF. Point A is the point of concurrency of triangle D E F. Lines

are drawn from each point of the triangle to point A. Lines are drawn from point A to the sides of the triangle to form right angles and line segments A X, A Y, and A Z. The length of F A is 6 centimeters, the length of A D is 5 centimeters, the length of A X is 3 centimeters, and the length of Y D is 4 centimeters. What is the length of ZA?
Mathematics
1 answer:
fiasKO [112]3 years ago
8 0

Answer:

  ZA = 3 cm

Step-by-step explanation:

Point A is the incenter of the triangle, so segments AX, AY, and AZ are radii of the circle. They are all the same length, given as 3 cm and confirmed by 3-4-5 right triangle AYD.

  ZA = 3 cm

You might be interested in
PLZ HELP GIVING CORRECT ANSWER THE BRAINLIEST!!
beks73 [17]

Answer:

About 20.8

Step-by-step explanation:

form a triangle using each line

3 0
3 years ago
Which set of ordered pairs does not represent a function?
weqwewe [10]

Answer:

{(0,0),(0,1),(1,2),(1,3)}

Step-by-step explanation:

If this was a function it would be (0,0) ,(1,1), (2,2) ,(3,3) and so on

4 0
3 years ago
Nalia worked 3.5 hours more than lisa together they worked a total of 18 hours lisa worked h hours
andre [41]

Answer:

7.25 and 10.75 Hours

Step-by-step explanation:

Total hours Nalia and Lisa worked = 18 Hours

Nalia worked 3.5 hours then Lisa which is h hours

⇒h + (h + 3.5) = 18

2h + 3.5 = 18\\2h = 18 - 3.5\\2h = 14.5\\h = \frac{14.5}{2} \\h = 7.25

Lisa has worked for 7.25 hours

Nalia has worked for = 7.25 + 3.5 = 10.75 hours

3 0
3 years ago
Megan is planting a garden with two beds with her mother and father. Megan can plant 1 garden bed in 8 hours. Her mother can pla
olganol [36]

Answer:

1.5\text{ hours}

Step-by-step explanation:

We know that Megan can plant 1 garden bed in 8 hours. Let M represent Megan's rate. So:

M=\frac{1\text{ b}}{8\text{ hr}}

We know that her mother can plant 2 garden beds in that time (8 hours). Let A represent the mother's rate. So:

A=\frac{2\text{ b}}{8\text{ hr}}=\frac{1\text{ b}}{\text{ 4hr}}

We can reduce this to 1 flower bed every 4 hours.

We also know that Megan's father can plant 1 1/3 or 4/3 garden beds in 8 hours. Let D represent the father's rate. So:

D=\frac{4/3 \text{ hr}}{8 \text{ hr}}=\frac{1\text{ b}}{6\text{ hr}}

We can reduce (4/3)/8 to 1/6.

We know that the three began working together. They worked together for 3 hours. So, after 3 hours, the amount of beds they planted all together is 3 hours times their respective rates. So, we can write the following expression:

3(\frac{1}{8}+\frac{1}{4}+\frac{1}{6})

We know that at this point, Megan's father left, leaving only Megan and her mother. We know that they worked together for another 30 minutes, or 1/2 of an hour. So, after this, they will have planted:

3(\frac{1}{8}+\frac{1}{4}+\frac{1}{6})+\frac{1}{2}(\frac{1}{8}+\frac{1}{4})

Garden beds.

Now, Megan's mother leaves, leaving only Megan. Let's let x represent the number of hours. So, we can write the last part of our expression:

3(\frac{1}{8}+\frac{1}{4}+\frac{1}{6})+\frac{1}{2}(\frac{1}{8}+\frac{1}{4})+x(\frac{1}{8})

We know that in the end, they planted 2 flower beds. So, our entire expression equals 2:

3(\frac{1}{8}+\frac{1}{4}+\frac{1}{6})+\frac{1}{2}(\frac{1}{8}+\frac{1}{4})+x(\frac{1}{8})=2

To find out how long it took Megan, we will solve for x.

Let's do each term individually:

First Term:

We have:

3(\frac{1}{8}+\frac{1}{4}+\frac{1}{6})

Make the fractions with common denominators. Our common denominator here is 24. So:

3(\frac{3}{24}+\frac{6}{24}+\frac{4}{24})

Add:

=3(\frac{13}{24})

Multiply. So, our first term is:

=\frac{39}{24}

Second Term:

We have:

\frac{1}{2}(\frac{1}{8}+\frac{1}{4})

Again, let's turn the fractions into fractions with common denominators so we can add them. The common denominator here is 8. So:

\frac{1}{2}(\frac{1}{8}+\frac{2}{8})

Add:

=\frac{1}{2}(\frac{3}{8})

Multiply:

=\frac{3}{16}

So, our equation is now:

\frac{39}{24}+\frac{3}{16}+\frac{1}{8}x=2

Add on the left. Use the common denominator of 48. So:

\frac{78}{48}+\frac{9}{48}+\frac{1}{8}x=2

Add:

\frac{87}{48}+\frac{1}{8}x=2

Subtract 87/48 from both sides:

\frac{1}{8}x=2-\frac{87}{48}

Let turn into a fraction with a denominator of 48. So:

\frac{1}{8}x=\frac{96}{48}-\frac{87}{48}

Subtract:

\frac{1}{8}x=\frac{9}{48}

Reduce the right using 3:

\frac{1}{8}x=\frac{3}{16}

Multiply both sides by 8:

x=\frac{24}{16}

Reduce using 8. So, the time it will take Megan to finish planting the garden beds by herself is:

x=3/2=1.5\text{ hours}

And we're done!

3 0
4 years ago
During a sale, a winter jacket is marked down from $68 to a sale price of $44.20. What is the percent markdown?
Evgen [1.6K]

Answer:

the answer. for your question is 35%

3 0
3 years ago
Read 2 more answers
Other questions:
  • You randomly draw a marble from a bag of marbles that contains 8 88 blue marbles, 5 55 green marbles, and 8 88 red marbles. What
    8·2 answers
  • The juniors and seniors of Lawrence Lawrence highschool are required to enroll in one fine arts elective each year
    15·2 answers
  • The cost of two tables and three chairs is 705$. If the table costs 40$ more than the chair, find the cost of one table and two
    14·1 answer
  • what transformation has changed the parent function f(x) =log3x to its new appearance shown in the graph below
    6·2 answers
  • How do I find the volume of a rectangular prism.?
    9·2 answers
  • 2x + 4 = 4x how. to solve it ​
    5·2 answers
  • 1/3 divided by 4 = what
    9·2 answers
  • Please help!! <br> What is the solution to 2x^2+x+2=0?
    15·1 answer
  • What is the answer to this question
    12·1 answer
  • A rectangle is 3 feet longer than it is wide. Write the equation for the perimeter of the rectangle.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!