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
tekilochka [14]
3 years ago
14

(GEOMETRY 100 POINTS)

Mathematics
2 answers:
Karo-lina-s [1.5K]3 years ago
5 0

Answer:

1) They are similar

2) 45 ft

Step-by-step explanation:

1) similar because both triangles have congruent interior angles

2) 75/35 = AB/21

AB = 45 ft

MariettaO [177]3 years ago
3 0

Answer:

Part A) Yes, Kayla can conclude that the triangles ABC and EDC are similar (see the explanation)

Part B) The width of the river is 45 feet

Step-by-step explanation:

<u><em>The correct question is</em></u>

(A) Can Kayla conclude that ΔABC and ΔEDC are similar? Why or why not?

(B) Suppose DE = 21 ft. What can Kayla conclude about the width of the river?

The picture in the attached figure

we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

Part A) we know that

The <u><em>AA Similarity Theorem</em></u> states: If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar

In this problem

m\angle DCE=m\angle ACB -----> by vertical angles  

m\angle EDC=m\angle ABC -----> is a right angle

therefore

Triangles ABC and EDC are similar by AA Similarity Theorem

Part B) we know that

The triangles ABC and EDC are similar -------> see Part A

so

\frac{BC}{DC}=\frac{AB}{ED}

substitute the given values and solve for AB

\frac{75}{35}=\frac{AB}{21}

AB=\frac{75}{35}(21)

AB=45\ ft

therefore

The width of the river is 45 feet

You might be interested in
What mixed number is 3/8 of 100
shusha [124]
3/8 0f 100
100 / 8 = 12.5
Now, let's multiply this by 3 to be able to get the value
=> 12.5 * 3 = 37.5 is the value of 3/8 of 100.
This is a mixed number because its a combination of whole and decimal numbers.
4 0
3 years ago
Raeana is twice as old as Madeline, and Laura is 10 years older than Raeana. If Laura is 50 years old, how old is Madeline? Let
aalyn [17]

Raeana =R

Madeline=M

Laura= L

L=50

R=50-10=40

M=40/2=20

Madeline is 20 years old

5 0
3 years ago
It's not multiple choice, anyone know the answer I'm stuck :(
lana66690 [7]

Answer:

regular polygon of 9 sides has 9 lines of symmetry

7 0
3 years ago
Read 2 more answers
HURRY I NEED HELP<br> I JUST NEED TO KNOW HOW TO DO THIS PLEASE <br> ILL GIVE 5 STARS AND STUFF PLS
timofeeve [1]

Answer:

On the left, it would be + 1 for each blank, and on the right it would also be +1 for each blank.

Step-by-step explanation:

They are asking for the intervals between each number.

Hope this helps!

3 0
2 years ago
Nancy’s morning routine involves getting dressed , eating breakfast, making her bed , and driving to work . Nancy spends 1/3 of
grin007 [14]

Answer: Nancy needs 26 minutes to driving to work.

Explanation:

Since we have given that

Time taken in eating breakfast = 10 minutes

Time taken in making her bed = 5 minutes

Let the total time taken by her in doing routine activities be x

Time taken in getting dressed is given by

\frac{1}{3}x

So, According to question,

\frac{x}{3}+10+5=35\frac{1}{2}\\\\\frac{x}{3}+15=\frac{71}{2}\\\\\frac{x}{3}=\frac{71}{2}-15\\\\\frac{x}{3}=\frac{71-30}{2}=\frac{41}{2}\\\\x=\frac{123}{2}

Now, we need to find the time taken in driving to work which is given by

\frac{123}{{2}-\frac{71}{2}=\frac{52}{2}=26\ minutes

Hence, Nancy needs 26 minutes to driving to work.

6 0
3 years ago
Other questions:
  • Which of the following triangle lengths form right triangles? Select all that apply.
    10·2 answers
  • Draw a model for a fraction1/6
    13·2 answers
  • If you have 100 dollars and you have to buy 100 animals using all the money how many of each animal would you buy...............
    14·1 answer
  • How much would $300 invested at 4% interest compounded monthly be
    15·1 answer
  • Divide the polynomials.<br> Your answer should be a polynomial.<br> 22 - 71 +12<br> I-3
    12·1 answer
  • Can someone help me please asap
    10·1 answer
  • The expression 6x2 gives the surface area of a cube, and the expression x3 gives the volume of a cube, where x is the length of
    6·1 answer
  • An angle that measures between 90 and 180° is called?
    9·1 answer
  • To the nearest tenth, what is the value of x?<br>A. 3.5<br>B. 4.8<br>C. 5.9<br> D. 7.3<br>E. 9.8 ​
    8·1 answer
  • √10 Multiple √15 is equal to
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!