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
cestrela7 [59]
4 years ago
7

If BC = 6.5, CD = 7.8, and AD = 12.2, find AB to the nearest tenth.

Mathematics
1 answer:
Sladkaya [172]4 years ago
6 0
This can be solved using the angle bisector theorem. Note that line segment AD is the angle bisector of triangle DAB from angle DAB. Therefore, we know that the ratios \frac{\text{AD}}{\text{CD}} and \frac{\text{AB}}{\text{CB}} are equal. Solving, we get \frac{\text{12.2}}{\text{7.8}}=\frac{\text{AB}}{\text{6.5}}. Cross multiplying, we get 79.3 = 7.8x, and solving this equation we get x = 10.1666... \approx 10.2. 10.2 is your answer.
You might be interested in
in chemistry class Andrew has earned scores of 64 69 and 73 on three tests he must maintain an average of 72
olganol [36]
You haven't told me what the question is.  But I put the mouse
to my forehead, closed my eyes, took a deep breath, and I could
see it shimmering in my mind's eye.  It was quite fuzzy, but I think
the question is

                   "What score does Andrew need on the next test
                     in order to raise his average to 72% ?"

The whole experience drew an incredible amount of energy
out of me, and the mouse is a total wreck.  So we'll just go ahead
and answer that one.  I hope it's the correct question.

The average score on 4 tests is

                                     (1/4) (the sum of all the scores) .

In order for Andrew to have a 72% average on 4 tests,
the sum of the 4 scores must be

                                         (4) x (72%)  =  288% .

Out of that total that he needs, he already has 

                            (64% + 69% + 73%) = 206%

on the first three tests.

So in order to average 72% for all 4 tests,
he'll need to score

                             (288%  -  206%)  =   82%

on the fourth one.
6 0
3 years ago
Solve the following equation 2x=12
Luden [163]
Let's solve your equation step-by-step.
2
x
=
12
Step 1: Divide both sides by 2.
2
x
2
=
12
2
x
=
6
Answer:
x
=
6

6 0
1 year ago
In a graduating class with the same number of boys and girls, 1/8 of the girls and 5/6 of the boys are honor students. What part
Lunna [17]

1 out of 6 students are not honor students


4 0
3 years ago
Soooo yea uh i need help :'3 <br> 2 1/3 feet :4 1/2 feet <br> help
denpristay [2]

2 \frac{1}{3} : 4 \frac{1}{2}  \\  =  \frac{7}{3} : \frac{9}{2}  \\  = 14:27

7 0
3 years ago
Sheila made 9 shots in the long distance competition for a total of 21 points. Some of her shots were worth 2 points and the res
Paladinen [302]

I don't know if you need the average but i did 21 divided by 9 and got 2.333

7 0
3 years ago
Read 2 more answers
Other questions:
  • What are the steps for etc?<br> x - 14.6 = 8.02
    15·2 answers
  • ALGEBRA 2- Which property of addition is shown below?
    11·2 answers
  • Question<br> What is the factored form of this polynomial?<br> p(x) = x + 7x2 + 4x - 12
    5·1 answer
  • To use the HL Theorem to prove two triangles are congruent, the triangles must be right triangles. Which other conditions must a
    14·2 answers
  • Troy and Lazetta are solving the following word problem. Rosalie's cat weights 9.8 pounds and her dog weighs 25.4 pounds. What i
    15·1 answer
  • וח
    5·1 answer
  • 36 over 9 = g over 1​
    9·1 answer
  • Given the equation F=9/5C +32 where C is the temperature in degrees Celsius and F is the corresponding temperature in degrees Fa
    10·1 answer
  • What is the Area of the circle?
    9·2 answers
  • Simplify 3a^2+14-17a-12a^2+11a+6a​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!