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
Find the vertex for each equation:
tamaranim1 [39]

1. (−3,−1)

2. (3,−5)

3. (−3,−4)

5 0
3 years ago
angle A and angle B are complementary that is their measurements add up to 90° Angle B measures 32° more than Angle A what are t
xenn [34]
Angle A is 29 and Angle B is 61. It’s problem can be solved by written the equation X+X+32=90. This becomes 2X+32=90 subtract 32 from each side making 2X=58 divide by 2 X=29 and just plug x in to solve for both angle names.
7 0
3 years ago
1.) If 60% of a number is 18, what is 90%of the number?
ICE Princess25 [194]
Question Two is D. $14.80
7 0
3 years ago
Read 2 more answers
John starts a saving account with $100. Every week he adds $6 to his account. Which equation can be used to determine the number
Artist 52 [7]
A would be your answer. If we did 220-100 and divide that by 6, you'd get the equivalent of w.
5 0
3 years ago
Solve using traditional division: 8,184 62
EleoNora [17]

Answer:

131

Step-by-step explanation:

You just put the biggest number in the box, and then you divide by the lower number.

4 0
3 years ago
Other questions:
  • 19. Rick shared his bag of grapes withfriends. He gave /210of the bag to Melissaand /410 of the bag to Ryan. What fractionof the
    8·1 answer
  • Classify the following triangle
    5·2 answers
  • Which is the slope of for (-5,9) and (-5,-5).
    5·2 answers
  • Find the missing side length <br><br><br><br><br><br> Plsss help
    5·1 answer
  • Write a problem you can use the make a table strategy to solve. Then solve the problem.
    10·1 answer
  • Add t to s , subtract the result from r , then divide u by what you have
    7·1 answer
  • Plz help its late !?!?
    11·1 answer
  • 5) A certain stock opens with a price of $0.59. Over the first three days the stock value increases at an average rate of 50% pe
    10·1 answer
  • (-3)(5)(-5)(-4) thank you
    15·2 answers
  • Please answer ASAP question is in pic^
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!