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
kodGreya [7K]
3 years ago
10

In XYZ, XY=XZ Find the length of XY of XYZ if XY=2a, YZ=3a+1, andXZ=5a-12

Mathematics
1 answer:
lorasvet [3.4K]3 years ago
5 0

Answer: XY = 8

Step-by-step explanation:

The diagram of the triangle XYZ is shown in the attached photo.

XY=XZ. This means that two sides of the triangle are equal. Two angles are also equal. It means that the triangle XYZ is an isosceles triangle.

Since XY=XZ, then

2a = 5a - 12

Subtracting 2a from both sides of the equation,

2a - 5a = 5a - 12 - 5a

-3a = -12

a = -12/-3

a = 4

Therefore, the length of XY is 2a = 2×4 = 8

You might be interested in
Add 2x4 - 6x3 + 5x to the difference between 9x3 + 8x2 - 2 and 4x4 - 2x2 + 8x - 5.
DedPeter [7]

Simplify (x3 +  3x2 + 5x – 4) –  (3x3 – 8x2 – 5x + 6)

The first thing I have to do is take that "minus" sign through the parentheses containing the second polynomial. Some students find it helpful to put a "1" in front of the parentheses, to help them keep track of the minus sign.

Here's what the subtraction looks like, when working horizontally:

(x3 + 3x2 + 5x – 4) – (3x3 – 8x2 – 5x + 6)

(x3 + 3x2 + 5x – 4) – 1(3x3 – 8x2 – 5x + 6)

(x3 + 3x2 + 5x – 4) – 1(3x3) – 1 (–8x2) – 1(–5x) – 1(6)

x3 + 3x2 + 5x – 4 – 3x3 + 8x2 + 5x – 6

x3 – 3x3 + 3x2 + 8x2 + 5x + 5x – 4 – 6

–2x3 + 11x2 + 10x –10

And here's what the subtraction looks like, when going vertically:

x

3

−(3x

3

​

 

+3x

2

−8x

2

​

 

+5x

−5x

​

 

−4

+6)

​

​

In the horizontal addition (above), you may have noticed that running the negative through the parentheses changed the sign on each and every term inside those parentheses. The shortcut when working vertically is to not bother writing in the subtaction sign or the parentheses; instead, write the second polynomial in the second row, and then just flip all the signs in that row, "plus" to "minus" and "minus" to "plus".

\

x

3

–3x

3

−2x

3

​

 

+3x

2

+8x

2

+11x

2

​

 

+5x

+5x

+10x

​

 

−4

–6

−10

​

​

Either way, I get the answer:

–2x3 + 11x2 + 10x – 10

4 0
3 years ago
Please I need Help ASAP
spayn [35]
Sorry I’m only answering this so I can ask
5 0
2 years ago
(1000÷1)×10-5000 Giving brainliest​
Marizza181 [45]
Answer: The answer is 5000
8 0
3 years ago
Read 2 more answers
HELP!!! PLZZ THIS IS SO FRICKIN HARD!
krek1111 [17]

Answer:

14.3%

Step-by-step explanation:

1/7=0.142857142857

round that to the nearest tenth and that is 0.143

make it a percentage and it is 14.3%

8 0
2 years ago
Can someone help me with this? Its fairly easy but i genuinely dont remember
notka56 [123]
Supplementary angels
5 0
2 years ago
Other questions:
  • What is the slope and y-intercept for the line represented by this equation? 5x+13y= -13
    12·1 answer
  • Find the lengths of two segments whose sum is 45 and whose ratio is 2:3
    5·1 answer
  • Explain when the median of a data set is a better<br> measure of center than the mean.
    12·2 answers
  • The temperature fell 4 degrees in the last hours. now it is 21 degrees. Write and solve an equation to find the temperature it w
    9·1 answer
  • How do you factor 81m^2-25
    11·1 answer
  • What are coordinates of point j?
    9·2 answers
  • A track meet started at 1:45 p.m, and ended at 4:35 p.m. How long did the track meet last? ​
    12·1 answer
  • Will factor the express 36xyz + 24xy − 16x by dividing each term by a common fact
    5·2 answers
  • Can someone please help me with this square root problem?
    10·1 answer
  • Please help I'm struggling so bad right now
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!