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
dybincka [34]
3 years ago
6

I'm confused on how to do this question

Mathematics
1 answer:
laila [671]3 years ago
3 0

Answer:

CE = 35

Step-by-step explanation:

Based on the Triangle Proportionality Theorem, BD divides AC and CE proportionally. This implies that:

BC:AB = DC:DE

Plug in the values

(x - 5)/6 = 14/(2x + 3)

(x - 5)(2x + 3) = 14*6

x(2x + 3) -5(2x + 3) = 84

2x² + 3x - 10x - 15 = 84

2x² - 7x - 15 - 84 = 0

2x² - 7x - 99 = 0

Factorize

2x² - 18x + 11x - 99 = 0

2x(x - 9) +11(x - 9) = 0

(2x + 11)(x - 9) = 0

2x = -11

x = -11/2

Or

x = 9

Let's take the positive value of x

Thus:

CE = 14 + 2x + 3

Plug in the value of x

CE = 14 + 2(9) + 3

CE = 14 + 18 + 3

CE = 35

You might be interested in
Find three consecutive integers whose sum is six times the greater integer
Zepler [3.9K]
3 times 6 18 and do that 6 times add

4 0
3 years ago
Cosx+1/sin^3x=cscx/1-cosx
ANTONII [103]
<span> I am assuming you want to prove:
csc(x)/[1 - cos(x)] = [1 + cos(x)]/sin^3(x).

 </span>
<span>If we multiply the LHS by [1 + cos(x)]/[1 + cos(x)], we get:
LHS = csc(x)/[1 - cos(x)]
= {csc(x)[1 + cos(x)]/{[1 + cos(x)][1 - cos(x)]}
= {csc(x)[1 + cos(x)]}/[1 - cos^2(x)], via difference of squares
= {csc(x)[1 + cos(x)]}/sin^2(x), since sin^2(x) = 1 - cos^2(x).

 </span>
<span>Then, since csc(x) = 1/sin(x):
LHS = {csc(x)[1 + cos(x)]}/sin^2(x)
= {[1 + cos(x)]/sin(x)}/sin^2(x)
= [1 + cos(x)]/sin^3(x)
= RHS.

 </span>
<span>I hope this helps! </span>
8 0
4 years ago
In programming, what is a floating-point number?
Cerrena [4.2K]

Answer: A floating-point number is one where the position of the decimal point can "float" rather than being in a fixed position within a number. floating point is a variable type that is used to store floating-point number values.

5 0
3 years ago
Read 2 more answers
Convert 25 feet per second to miles per hour, with work show.
bulgar [2K]

we  know there are 5280 feet in 1 mile, and there are 3600 seconds in 1 hour.


\bf \cfrac{25 \underline{ft}}{sec}\cdot \cfrac{mi}{5280 \underline{ft}}\cdot \cfrac{3600 \underline{sec}}{hr}\implies \cfrac{25\cdot 3600}{5280}\cfrac{mi}{hr}\implies \cfrac{375}{22}\cfrac{mi}{hr}\implies 17.0\overline{45}\frac{mi}{hr}

5 0
3 years ago
What is the value of 43,782 underline digit is 7
vovangra [49]
Seven hundred is the value of the seven in 43,782
4 0
3 years ago
Read 2 more answers
Other questions:
  • What is the ratio (multiplier) of the following geometric sequence? 4, 2, 1, 0.5, . . .
    6·2 answers
  • PLEASE HELP!!!!!!<br> Graph y= -4/3x + 1
    7·1 answer
  • Will mark u as BRAINLIEST plz help
    13·1 answer
  • Is (0,0) a solution of the graphed inequality?
    14·2 answers
  • Which of the following could be a function with zeroes of -3 and 2?
    9·1 answer
  • What is the meaning of perimeter and area? (Don’t copy from the internet)
    9·2 answers
  • Classify the real numbers as rational or irrational numbers.
    6·2 answers
  • HELP ME‍♂️ILL MARK BRAINLIESTTTT‼️‼️Find the value of x that makes the quadrilateral a parallelogram.
    12·1 answer
  • HELP PLS
    15·1 answer
  • 14. In a right triangle, if one acute angle has measure 10x + 6 and the other has measure 2x + 7, find the larger of these two a
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!