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
elena55 [62]
2 years ago
9

In triangle ABC segment DE is parallel to the side AC . (The endpoints of segment DE lie on the sides AB and BC respectively). F

ind DE, if AC=20cm, AB=17cm, and BD=11.9cm;

Mathematics
1 answer:
Sophie [7]2 years ago
5 0

Answer:

The length of DE is 14 cm.

Step-by-step explanation:

Given in triangle ABC segment DE is parallel to the side AC . (The endpoints of segment DE lie on the sides AB and BC respectively). we have to find the length of DE.

Given lengths are AC=20cm, AB=17cm, and BD=11.9cm

In ΔBDE and ΔBAC

∠BDE=∠BAC       (∵Corresponding angles)

∠BED=∠BCA       (∵Corresponding angles)

By AA similarity rule, ΔBDE~ΔBAC

∴their corresponding sides are in proportion

⇒ \frac{BE}{BC}=\frac{BD}{BA}=\frac{DE}{AC}

⇒ \frac{BD}{BA}=\frac{DE}{AC}

⇒ \frac{11.9}{17}=\frac{DE}{20}

⇒ DE=\frac{20\times 11.9}{17}=14cm

You might be interested in
Charlie reads quickly . He reads 1and3/7 pages every 2/3 minutes.How many pages does he read pre minute?
SVETLANKA909090 [29]
Hello there!

First, we need to admit that math is a hard subject. So, how do we handle hard stuff? We find an easy way. Right?

Well same goes here. They give the fractions to drive us crazy. Let's find the easiest way...

The easiest way is to turn them into decimals.
1 3/7 = 1.42 which is the amount of pages he reads
2/3 = 0.67 minute.

The are asking us how many pages does he reads per minute.

So we gonna say:
Charlie reads 1.42 pages ......> 0.67
Charlie reads x pages.............> 1minute

Cross multiply

0.67 * x = 1 * 1.42
0.67x = 1.42
x = 1.42/0.67
x = 2.11

So, Charlie reads 2.11 pages in 1 minute.


I hope this helps. Please let me know if you have questions about the answer.

Thanks!


5 0
3 years ago
I need help on number 9
lisov135 [29]

Complement angles, sum is equal 90

Give one angle = 70 to find other: 90 - 70 = 20

Answer

Complement of angle with the measure of 70 degrees is 20 degrees

3 0
3 years ago
Trisha uses 3 cups of sugar for every 2 teaspoons of baking soda to make a batch of cookies. Which proportion could be solved to
Natali5045456 [20]

Answer:

6 teaspoons

Step-by-step explanation:

PLz brainliest,Hope I could help

6 0
3 years ago
Read 2 more answers
PLEAS PLEASE PLEASE HELP!!
jekas [21]

Using the given functions, it is found that:

  • Lower total cost at Jump-n-Play: 40, 64.
  • Lower total cost at Bounce house: 28, 8, 30.
  • Same total cost at both locations: 32.

<h3>What are the cost functions?</h3>

For n visits to Jump-n-play, the cost is:

J(n) = 189 + 3n.

For n visits to Bounce Word, the cost is:

B(n) = 125 + 5n.

Comparing them, we have that:

J(n) < B(n)

189 + 3n < 125 + 5n

64 < 2n

n > 32

Hence:

  • For less than 32 visits, the cost at Bounce World is lower.
  • For more than 32 visits, the cost at Jump-n-play is lower.

Hence:

  • Lower total cost at Jump-n-Play: 40, 64.
  • Lower total cost at Bounce house: 28, 8, 30.
  • Same total cost at both locations: 32.

More can be learned about functions at brainly.com/question/25537936

4 0
2 years ago
Jake buys a drink and sandwich for $7.95. The drink costs $2.25. Write an equation to find the cost of the sandwich x
Nesterboy [21]

Answer:

$7.95-$2.25=x

Step-by-step explanation:

pls brainliest

8 0
3 years ago
Read 2 more answers
Other questions:
  • A bag contains 13 dark chocolates, 16 white chocolates, and 11 milk chocolates. Maggie’s class teacher, Jill, is very strict, an
    8·1 answer
  • Find the value of x in each case.
    15·1 answer
  • Good day! Please help me in this difficult problem and I will be very grateful if you can explain this to me :D
    5·2 answers
  • Need help fast .............................. Need help fast .............................. Need help fast .....................
    13·2 answers
  • HELP...here say:write five decimals that have at least 3 digits to the right of the decimal point.Write the expanded form and th
    14·1 answer
  • Enter the phrase as an algebraic expression
    13·2 answers
  • Nick spends 18% of his monthly budget on his rent payment, which is $700.
    12·1 answer
  • In the diagram below, what is the ratio of unshaded parts to shaded parts?
    5·2 answers
  • Ms. Handcox took 36 of the 45 students to
    9·1 answer
  • Please solve
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!