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
alexdok [17]
3 years ago
7

What is the value of X?

Mathematics
1 answer:
Ugo [173]3 years ago
4 0

∆ABC similar to ∆CBD

DB/AC = CB/AB

\frac{x}{7.5}  =  \frac{7.5}{x + 3}  \\ x(x + 3) =  {7.5}^{2}  =  { (\frac{15}{2}) }^{2}  \\  {x}^{2}  + 3x =  \frac{225}{4}  \\ 4 {x}^{2}  + 12x = 225 \\ 4 {x}^{2}  + 12x + 9 = 216 \\  {(2x + 3)}^{2}  = 216 \\ 2x + 3 = 6 \sqrt{6}  \\ x =  - 1.5 + 3 \sqrt{6}

approximately 6.1485

You might be interested in
The sum of digits of a cetain two - digit number is 7. Reversing its digits increases the by the number nine. what is the number
const2013 [10]
The number is 34.
3 + 4 = 7
43 - 34 = 9
7 0
2 years ago
Bradley owe's his parents $275. Every week, Bradley pays his parents back $55. Which function represents the
erica [24]

Answer:

The function f(x) = 275-55x represents the amount of money Bradley still owes.

Step-by-step explanation:

Given that:

Amount Bradley owes = $275

Amount Bradley pays each week = $55

Let,

x be the number of weeks.

We will subtract the amount paid every weeks from the total amount, where x is the number of weeks. The function will be given by;

f(x) = 275 - 55x

Hence,

The function f(x) = 275-55x represents the amount of money Bradley still owes.

3 0
2 years ago
Find the values for a, b, and c that complete the simplification.
lisov135 [29]

Answer: A: 6

B: 4

C: 2

Step-by-step explanation:

8 0
3 years ago
Henry has 15 lawns mowed out of a total of 60 lawns. What percent of the lawns does Henry still have to mow?
Ksju [112]

Answer: He still has to mow 45 lawns, or 75% of the lawns before he is finished.

3 0
3 years ago
-<br> Solve for n.<br> - - - -<br> 49n = 14
Darina [25.2K]

Answer: 3.5

Step-by-step explanation: divide 49 by 14

3 0
3 years ago
Read 2 more answers
Other questions:
  • Un11Mid
    8·1 answer
  • Which set of three numbers could be the side lengths of a triangle?
    7·2 answers
  • 7 cu. yd. 9 cu. ft. 134 cu. in. + 1 cu. yd. 12 cu. ft. 200 cu. in.
    7·1 answer
  • What is the equation of the line containing points 7,3 14,6 and 21,9
    15·2 answers
  • 5x+3y=28<br> 3x+y=12<br><br> please solve algebraically
    9·1 answer
  • What is the formula for margin of error?The triangles below are similar. Triangle A B C. Side A C is 10 and side A B is 5. Angle
    12·1 answer
  • If 1/2 cup of white sugar is needed for one batch of oatmeal raisin cookies, how much white sugar is needed for 8 batches of coo
    8·1 answer
  • Find the amount of simple interest that $400 would earn at 8% per year by the end of 3 1/2 years.​
    7·1 answer
  • How to you write 1/25 using exponents
    8·2 answers
  • What is the next fraction in this sequence? Simplify your answer.​
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!