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
PSYCHO15rus [73]
3 years ago
5

Show that the triangles are similar

Mathematics
1 answer:
ss7ja [257]3 years ago
6 0

Answer:

<ACB is supplementary to the < ECD by the definition of supplementary angles. Therefore the first part of your answer is <ACB = <ECD

We know that similar triangles have the same corresponding angle measurements for their angles and therefore one of the triangles is just a scaled up or down version of the original. Triangle EDC is a scaled down version of ABC. Therefore, the corresponding sides of triangle ECD have the same ratio to the corresponding sides of ABC. For example line segment EC and BC are corresponding line segment and lets find the ratio: 14/21 = 2/3

THe ratio of EC to BC is 2/3 and the ratio of CD to AC is also 2/3 (18 / 27=2/3)

Therefore, CE / BC is equal to DC / AC

Your full answer is

<ACB = <ECD, CE / BC = DC / AC

So triangle ABC ~ triangle CDE

Step-by-step explanation:

You might be interested in
In the Treasure, Treasure! video game, players gain and lose points by finding and losing treasure. In Level 2, Leslie earned
USPshnik [31]

Answer:

. finding and losing treasure. In level 2, Leslie earned -22 points when a storm blew a treasure chest off her ship. Then, she earned 34 ... a storm blew a treasure chest off her ship. Then, she earned 34 points for finding more treasure on the deserted island. What is the overall change in Leslie's score during level 2? ansver.

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Patrick is 8 hours of sleep each night how many hours does President sleep in a year with 365 days tell me the answer please.
noname [10]
2920 is the answer to your question
5 0
3 years ago
Read 2 more answers
Hello my name is Sam and I have some homework that is due today, how is g 125 degrees? You will get a guaranteed brainliest if y
VLD [36.1K]
Hi sam, do you want to know the answer? Try using a protractor, you will see the degree is 125, its like a obtuse angle
7 0
2 years ago
The perimeter of rectangular is 54 inches Its length is two times its width
USPshnik [31]
The length would be 18 inches and the width would be 9 inches since the length is twice its width and to find perimeter you do length x 2 and width x 2 and add it together so 18x2 = 36 and 9x2 = 18. 36 + 18 = 54
3 0
3 years ago
X/3/8 = 24<br> put answer as whole number
rewona [7]

Answer:

9 = x

Step-by-step explanation:

24 = \frac{x}{\frac{3}{8}} \\ \\ [24][\frac{3}{8}] = \frac{72}{8} = 9 \\ \\ 9 = x

I am joyous to assist you anytime.

8 0
2 years ago
Other questions:
  • Add:
    15·2 answers
  • Which of the following indicates the division property of equality when solving –12x = 48? Question 4 options: A) B) C) D)
    12·1 answer
  • debby collected eight times as many bags of cans as her friend. if her friend collected 1 2/3 pf bags. how many did debby collec
    14·1 answer
  • Which is least 0.5, 0.05, 0.625
    11·1 answer
  • Need help ASAP
    5·2 answers
  • The equation Y-5<br> 5(x-4) is written in point-slope form. What is the y-intercept of the equation?
    15·2 answers
  • Adam is a salesperson in a video store. He is paid $100 every week plus a commission of $5 on every DVD he sells. Which equation
    13·1 answer
  • the angle between the length of a rectangle and its diagonal is 30degrees. if the length of the rectangle is 6cm, find the lengt
    13·1 answer
  • PLEASE HELP ASAP PLEASE WILL GIVE BEST RATE AND BRAINLEST PLEASE​
    12·2 answers
  • Part A: Find the GCF of 56 and 96. It is 8, already did this
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!