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
What is one effect of World Bank loans to developing countries?
matrenka [14]
One example is they help them develop projects
7 0
2 years ago
X^3+13x^2+32x+20<br> please help me factorizing above equation
Mazyrski [523]
x^3+13x^2+32x+20=x^3+x^2+12x^2+ 12x+20x+20 =\\\\=x^2(x+1)+12x(x + 1 )+20(x+1 )=(x+1)(x^2+12x+20)=\\\\=(x+1)[(x^2+10x+2x+20)]=(x+1)[x(x +10)+2(x+10))]=\\\\=(x+1) (x +2) (x+10)


7 0
3 years ago
For questions 10-11 if l || m, find the values of x and y.
klemol [59]

Answer:

10) 9x - 2° = 5x + 54° (corresponding angles are equal)

9x - 5x = 54 + 2

4x = 56

x = 56/4

x = 14°

10y + 6° = 9x - 2° (linear pair)

10y + 6° = 9(14)° - 2°

10y + 6° = 126° - 2°

10y + 6° = 124°

10y = 124° - 6°

10y = 118

y = 118/10

Sorry, i don't know how to do the 11th question

but hope this helps you!

8 0
2 years ago
It will cost $5.50 per person attending and $25 to rent a location for a party.
olasank [31]
D = 5.5p + 25

D: dollars
P: people attending
4 0
2 years ago
Gail can use her 12% employee discount once a week. Last Sunday, she bought a $45 sweater at 1/3 off and used her discount on th
NNADVOKAT [17]

Statement 1 : Gail bought a $45 sweater at 1/3 off.

<u>Discount in Sweater Purchase:</u>

\frac{1}{3} \; of \; 45 = \frac{1}{3} \times 45 \; = \;\frac{45}{3} =\$15

Statement 2: Gail can use her 12% employee discount once a week and used her discount on the suit priced at $140.

Discount in Suit Purchase:

12\% \; of \; 140 =\frac{12}{100}  \times  140 = 0.12 \times 140 = \$16.8

Conclusion:

<u>Discount in Suit Purchase ($16.8) is greater than Discount in Sweater Purchase ($15)</u>

8 0
3 years ago
Read 2 more answers
Other questions:
  • An integer for 9 steps forward
    15·1 answer
  • How much would $300 invested at 9% interest compounded monthly be worth after 3 years?
    12·1 answer
  • What kind of meals do math teachers eat
    6·1 answer
  • There are two pennies lying flat on a table. One of the pennies is fixed to the table, while the other one is being rolled aroun
    9·2 answers
  • What is the remainder when (x^3+1) is divided by (x^2-x+1)?
    14·1 answer
  • What type of table is this
    7·2 answers
  • 14. What, if any, is a real solution to 5x +1 +9 - 3?<br> 1<br> C<br> D. There is no real solution.
    7·1 answer
  • Please answer the following questions ! Very urgent
    7·2 answers
  • A number cube has 6 different faces, numbered 1 to 6. All faces have an equal probability of being rolled. What is the probabili
    6·1 answer
  • Subtract 7xy (x² - 2xy + 3y²) -<br>8x (x²y - 4xy + 7x y2) from<br>3y(4x²y-5xy +8xy²)<br>​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!