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
Assoli18 [71]
1 year ago
5

Complete the statement needed to find the missing value then find the missing value. CE =

Mathematics
1 answer:
Vladimir [108]1 year ago
4 0

Given:

There are given that the triangle ABC.

Explanation:

According to the given triangle:

We can see that the given triangle represents the proportionality theorem:

That means:

If a line parallel to one side of the triangle intersects the other two sides of the triangle, then the line divides these two sides proportionality.

Then,

From the given triangle:

\frac{CE}{EB}=\frac{CD}{DA}

Where,

\begin{gathered} CD=20 \\ DA=8 \end{gathered}

Then,

Put the value into the above proportionality:

So,

\begin{gathered} \begin{equation*} \frac{CE}{EB}=\frac{CD}{DA} \end{equation*} \\ \frac{CE}{EB}=\frac{20}{8} \end{gathered}

Then,

\begin{gathered} \frac{CE}{EB}=\frac{20}{8} \\ 8CE=20EB \\ CE=\frac{20EB}{8}...(1) \end{gathered}

Now,

We need to find the value for EB:

So,

For EB:

\begin{gathered} \frac{BE}{BC}=\frac{AD}{AC} \\ \frac{BE}{35}\frac{8}{28} \\ 28BE=280 \\ BE=10 \end{gathered}

Then,

Put the value of BE into the equation (1):

So,

\begin{gathered} \begin{equation*} CE=\frac{20EB}{8} \end{equation*} \\ CE=\frac{20(10)}{8} \\ CE=\frac{200}{8} \\ CE=25 \end{gathered}

Final answer:

Hence, the value of CE is 25.

You might be interested in
The first company charges $40 per backpack and a $10 shipping fee for the order and the second company charges $38 per backpack
nata0808 [166]

Answer:

Step-by-step explanation:POOHSHIESTYDATSMYDAWGBUTPOOHYKIMREALLYSHIESTY

6 0
3 years ago
Read 2 more answers
Naomi invested $3,425 in an account that pays 3% simple annual interest. what was the total balance in the account after 15 year
Alenkinab [10]
Each year, your $3,425 which earn 3% simple interest earns $102.75. Multiplying this value by 15 gives $1541.25. Then, adding the latest value we have with the initial invest will finally give us $4966.25. Thus, after 15 years Naomi will have $4966.25. 
6 0
3 years ago
Read 2 more answers
What is the distance of work 1 2/3 and 1 1/4
PIT_PIT [208]
1\dfrac{2}{3}-1\dfrac{1}{4}=1\dfrac{2\cdot4}{3\cdot4}-1\dfrac{1\cdot3}{4\cdot3}=1\dfrac{8}{12}-1\dfrac{3}{12}=\dfrac{8-3}{12}=\boxed{\frac{5}{12}}
5 0
3 years ago
Read 2 more answers
in slope intercept form write the equation of a line that is parallel to 3x - 5y = 7 and passes through (0, -6)​
lisov135 [29]

Answer:

The gradient is 3/7 make y the subject. Then put the coordinates in the equation.

Step-by-step explanation:

7 0
3 years ago
A circular cone has volume 1200 cubic inches and radius 5 inches. What is the height of the cone, to the nearest tenth inch?
asambeis [7]

I multiply 1200 times 5 and yet 6000 because it says what is the height

3 0
3 years ago
Other questions:
  • What is the exact remainder of 209÷47
    14·2 answers
  • In a large bag of candy, each of the 5 colors ( red, orange, yellow, blue, and green) occurs with the same probability. You reac
    6·2 answers
  • Which plot is located at (-3, -2)<br><br> Please help!!!
    7·2 answers
  • I can’t get the answer and I don’t get it?
    11·2 answers
  • What is the result of adding these two equations?<br> - 50 - 9y = 3<br> 5x - Sy = -2
    10·1 answer
  • gym a charges $60 a month plus $5 per visit the monthly cost at gym B is represented by y cos2x + 40 where X is the number of vi
    6·1 answer
  • Which is the graph of y = cos(x − π)?​
    13·2 answers
  • If a rectangle has a width of 36 square units, is it inversely proportional to its width?
    14·1 answer
  • If 18 plums weigh 54 ounces, then 6 plums weigh how many<br> ounces?
    10·2 answers
  • THE QUESTION IS IN THE IMAGINE!! I need help because I have a D in math so I need a good grade to help it up :[​
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!