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
irina [24]
3 years ago
7

Triangle ABC is shown below. Triangle A B C is shown. The length of side A B is 2 x, the length of side B C is 4 x minus 10, and

the length of side A C is 3 x minus 7. Angle A B C and B C A are congruent. What is the length of line segment AC?

Mathematics
2 answers:
Sedbober [7]3 years ago
6 0

Answer:the length of line segment AC is 14

Step-by-step explanation:

The diagram is shown in the attached photo

Since Angle A B C and B C A are congruent. It means that they are equal. An isosceles triangle is a triangle that has two equal sides and two equal base angles. Since Angle A B C and B C A are equal, it means that the triangle is an isosceles triangle. It also means that sides AC and AB are equal. The expression becomes

3x - 7 = 2x

3x - 2x = 7

x =7

To determine the length of line segment AC. We will substitute x = 7 into 3x - 7. It becomes

3×7 - 7 = 21 - 7 = 14

mr_godi [17]3 years ago
3 0

Answer:

14

Step-by-step explanation:

make the sides equal to each other than you can solve

You might be interested in
Math help.....A. Investigate the weather forecast in your city. 
arsen [322]
<span> <span><span> <span> <span> <span><span> <span> This is easy all you have to do is fill in the chart on the pdf. here I did it but you have to fill it in on your own. So just go from left to right starting at the top and fill it in, all except the dates which I didn't do.Hope this helped :)<span>
<span><span> <span> Date,   </span> <span> High, Temperature </span> <span> Subtract current temperature minus previous temperature,</span><span>Difference,   </span> <span> Low Temperature,   </span> <span> Subtract current temperature minus previous temperature,   </span> <span> Difference,   </span> </span> <span> <span>   </span> <span>   93,   </span> <span> -N/A-,   </span> <span> -N/A- ,</span><span>  87,   </span> <span> -N/A-,   </span> <span> -N/A-,   </span> </span> <span> <span>   </span> <span>   90 ,</span><span>  93-90=,   </span> <span>   -3 ,</span><span>  79,   </span> <span>   79-87,   </span> <span>   -8 ,</span></span><span><span>  </span> <span>   93,   </span> <span>   93-90,   </span> <span>   3,   </span> <span>   81 ,</span><span>  81-79,   </span> <span>   2 ,</span></span><span><span>  </span> <span>   91 ,</span><span>  91-93,   </span> <span>   -2 ,</span><span>  81 ,</span><span>  81-81,   </span> <span>   0,   </span> </span> <span> <span>   </span> <span>   91,   </span> <span>   91-91,   </span> <span>   0,   </span> <span>   79,   </span> <span>   79-81,   </span> <span>   -2,   </span> </span> <span> <span>   </span> <span>   95,   </span> <span>   95-91,   </span> <span>   4 ,</span><span>  79 ,</span><span>  79-79,   </span> <span>   0 ,</span></span><span><span>  </span> <span>   95,   </span> <span>   95-95,   </span> <span>   0,   </span> <span>   79,   </span> <span>   79-79,   </span> <span>   0.</span></span></span></span><span><span><span><span><span><span><span><span>
</span> <span>
</span></span><span> </span> </span></span></span></span> </span></span></span></span> </span></span></span></span> </span></span>
5 0
3 years ago
What is the cost of a typewriter that is 18% off the list price of $375 with a sales tax of 5% that must be paid
julsineya [31]

Answer:

The cost is $322.88.

Step-by-step explanation:

18% off the list price of $375

Before the sales tax, you pay 100% - 18% = 82% = 0.82 of 375, so:

0.82*375 = 307.5

5% sales tax:

100% + 5% = 105% = 1.05 of 307.5. So

307.5*1.05 = 322.88

The cost is $322.88.

8 0
2 years ago
Based on the pattern, what are the next two terms of the sequence?<br> 7, 7/4 , 7/16 , 7/64, 7/256
IrinaVladis [17]

Answer:

7/1024 and 7/4096

Step-by-step explanation:

4×4=16

4×16=64

4×64=256

4×256=1024

4×1024=4096

hope this helps!

5 0
3 years ago
Find the x-intercept for 11x - 33y = 99
photoshop1234 [79]
The answer is twelve and you can thank me later
6 0
3 years ago
NOTE: CHECK THE PHOTO THIS WILL MAKE MORE SENSE. Lenny,Sonja,Jasper, and Willow play instruments in the school orchestra, and th
OLEGan [10]

Answer:

Number of hours Sonja practiced- n + 3 =11

Number of hours Jasper practiced- n - 2 = 6

Number of hours Willow practiced- 2n = 16

Step-by-step explanation:

hope that helps

6 0
3 years ago
Other questions:
  • Rita has 3/4 gallon of lemonade she pours 1/24 gallon of lemonade into each glassk Rita has 3/4 gallons of lemonade she pours on
    11·1 answer
  • Change from Standard Form to Slope-Intercept Form 4x − 24y = -2
    6·1 answer
  • Simplify each fraction 8/10
    9·1 answer
  • Shen will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $49.96 and costs an a
    13·2 answers
  • Which measure describes how all of the values of a data set vary with a single number?
    9·2 answers
  • Which angle is congruent to B
    10·1 answer
  • Which point shows 1\8
    9·1 answer
  • What is the range of the two points on the graph?
    8·1 answer
  • If f(x) = ⌊x⌋ + 1, what is f(2.6)?
    6·2 answers
  • Antonia earns $6 per hour helping her grandmother. Write and solve an equation to find how many hours she needs to work to earn
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!