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
I need help with this ASAP!
Ahat [919]
The area of a rectangle is it's length times it's height. We are given polynomials for these values, so we can multiply them using the FOIL method to find the area.

FOIL stands for Firsts, Outers, Inners, Lasts. This means we multiply the first term of each polynomial together, the outer terms together, the inner terms together, and the last terms together.

(2x+5)(x-2)

The first terms are 2x and x, the outer terms are 2x and -2, the inner terms are 5 and x, and the last terms are 5 and -2:

2x^2 - 4x +5x - 10

Combine like terms:

2x^2 + x - 10

The third option is the correct answer.




8 0
3 years ago
Find the values of x and y.
WARRIOR [948]

Answer:

4:

y=105°

x=75°

5:

x=139°

y=41°

6:

x=36

y=72°

3 0
3 years ago
Write the next two terms in the pattern. 11,18,25,32,_,_,
jasenka [17]
39, 46 {Pattern: Going up by 7}
7 0
3 years ago
Read 2 more answers
3
slavikrds [6]

Answer:

There are three basic aspects to movement and travel: distance, rate, and time. ... In other words, the distance you drove is equal to the rate at which you drove ... He drove an average speed of 65 mph, and it took him two-and-a-half hours to get ... 3 = r. r = 3, so 3 is the answer to our problem. Janae walked 3 miles per hour.

Step-by-step explanation:

3 0
2 years ago
ben used 124.7 pounds of gravel in his front yard 110.7 pounds in his back yard.how many more pounds of gravel does ben use in h
Dovator [93]

Answer:

30.1

Step-by-step explanation:

it is subtraction because it is asking how many more pounds of gravel does Ben use in his front yard than his back yard and his front yard has a bigger number so you subtract.

136.2-106.1= 30.1

6 0
3 years ago
Other questions:
  • Manav is painting a rectangular room and the dimensions of this room are given by x,y and z feet. Manav takes 8 hours to paint a
    6·1 answer
  • Tell whether the number given is solution of 32 greater than or equal to 7x plus 4?
    9·2 answers
  • What if most common factor of 42 and 15
    13·2 answers
  • Two square roots for 25/4
    14·1 answer
  • Please help me idk this
    12·2 answers
  • Out of 200 students in a school, 30 have brown sandals. What is the probability that a student chosen at random would have brown
    10·2 answers
  • Plzzz help meeWhich of these copper wires has the
    6·1 answer
  • PLSSS HELP WILL MARK BRANLIEST!!
    6·1 answer
  • Simon is painting his garden fence. The fence is 80m long. So far, he has painted 45m. How much does he have left to paint?
    9·1 answer
  • Graph each equation, y = 0.5x
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!