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
ch4aika [34]
3 years ago
12

The perimeter of triangle rxa is 24. if rx= 4 and ra= 11, find xp and pa

Mathematics
1 answer:
BigorU [14]3 years ago
6 0
Answer:
PA = 6.6 units
XP = 2.4 units

Explanation:
1- We are given that:
perimeter of RXA = 24 units
RX = 4
RA = 11
This means that:
XA = 24 - 4 - 11 = 9 units

2- For XA:
XA = XP + PA
XA = 9 units
This means that :
XP + PA = 9 units
XP = 9 - PA 

3- Triangle angle bisector theorem:
"In a triangle, the angle bisector divides the opposite side into two segments that are proportional to the other two sides"

Applying this to the given triangle, we can set the ratio as follows:
\frac{XP}{PA}  =  \frac{XR}{AR}

We have:
XP = 9 - PA 
RX = 4
RA = 11

4- Substitute with the givens in the above ratio and solve for PA as follows:
\frac{9-PA}{PA} = \frac{4}{11}

11(9-PA) = 4(PA)
99 - 11PA = 4PA
99 = 15PA
PA = 99/15
PA = 6.6 units

5- Substitute to get XP as follows:
XP = 9 - PA
XP = 9 - 6.6
XP = 2.4 units

Hope this helps :)
You might be interested in
Y = 15x <br> y = 25 + 12.5x
swat32

Substitute y = 15x to the equation y = 25 + 12.5x:

15x = 25 + 12.5x     <em>subtract 12.5x from both sides</em>

2.5x = 25    <em>divide both sides by 2.5</em>

x = 10

Substitute the value of x to the equation y = 15x:

y = (15)(10)

y = 150

<h3>Answer: x = 10 and y = 150</h3>
7 0
4 years ago
What is the value of x?<br><br> (2x + 2)<br><br><br> (3x - 52)<br><br><br> x=
Harrizon [31]
2x + 2 = 3x - 52
-2x -2x
2 = x - 52
+52 +52
54 = x
5 0
4 years ago
Read 2 more answers
HELP ASAPPPP!!!!You are making a picture frame in the craft cabin at summer camp. The frame measures 9 inches by 12
Greeley [361]

Answer:

yes

Step-by-step explanation:

euhm ... did u just asked if a figure with h=9inches and b=12inches is rectangular???

Does it matter what the diagonals are etc?

if the frame has angles of 90° and it has two different lengths then it has to be rectangular. The sides of a square would have the same lengths.

7 0
3 years ago
To convert a repeating decimal to a fraction, your goal is to:
Nezavi [6.7K]
To convert a repeating decimal to a fraction, your goal is to g<span>et the numbers to the left of the decimal point to be the same</span>
8 0
3 years ago
Which of these functions had a greater rate of change than the function graphed below, and why?
Mrac [35]

Answer:

C

Step-by-step explanation:

When we talk of rate of change, we talk of the slope of the line

If we had a line;

y = mx + b

m is the slope ( which is the rate of change)

To get the slope of the line, we select any two points on the line and apply the slope formula

m = y2-y1/x2-x1

let us take points (0,0) and (3,9)

m = 9-0/3-0 = 9/3 = 3

The slope here is 3

so from the option, we can see that the third option is the correct answer

7 0
3 years ago
Other questions:
  • A basket contains 13 pieces of fruit: 5 apples, 5 oranges, and 3 bananas. Jonas takes a piece of fruit at random from the basket
    8·2 answers
  • 115 On a coordinate plane, draw triangle ABC with vertices
    9·1 answer
  • What number divided by 3 give me five
    10·1 answer
  • URGENT!! WILL MARK BRAINLIEST IF CORRECT!!!
    14·1 answer
  • How do you multiply(2x+3)(x-7)
    14·1 answer
  • PLEASE HELP ME HERE!!
    10·1 answer
  • 5. solve for x
    10·1 answer
  • Please help me with these questions.....please...
    6·1 answer
  • Plot the points from the Fahrenheit chart in question 4 onto the graph below. Use the plotted
    7·1 answer
  • Christian is helping Jay’s family build a rectangular deck in their backyard. On the blueprint, the deck is 7.5 inches long and
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!