answer.
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
dsp73
1 month ago
14

Triangle A B C is reflected over side A C and then is dilated to form smaller triangle D E C. Angles B C A and D C E are right a

ngles. Right triangle ABC is reflected over AC, then dilated by a scale factor of Two-thirds to form triangle DEC. Which statements about the two triangles must be true? Select three options. △ABC ~ △DEC ∠B ≅ ∠E 3BC = 2EC 3DE = 2AB 3m∠A = 2m∠D 2m∠A = 3m∠D
Mathematics
1 answer:
PIT_PIT [12.4K]1 month ago
4 0

Answer:

A. △ABC ~ △DEC

B. ∠B ≅ ∠E

D. 3DE = 2AB

Step-by-step explanation:

Transformation includes modifying the shape or size of a figure, using techniques such as reflection, dilation, rotation, and translation.

In this scenario, triangle ABC undergoes reflection and dilation to create triangle DEC. Each side of triangle DEC measures two-thirds the length of its corresponding side in triangle ABC. Thus, the following statements about the triangles are true:

i. △ABC ~ △DEC

ii. ∠B ≅ ∠E

iii. 3DE = 2AB

You might be interested in
Interpret the graph to determine the statement the manager at a building supply store can use to help a customer determine how m
tester [12383]

Answer:

One gallon of primer can cover up to 200 square feet.

Step-by-step explanation:

The x-axis represents the area that needs painting in square feet, while the y-axis indicates the number of gallons required.

From the graph, it's evident that 1 gallon of primer covers an area from 0 to 200 square feet; 2 gallons will cover from 200 to 400 square feet, and so on.

This confirms that one gallon of primer has a coverage limit of 200 square feet.

8 0
1 month ago
Read 2 more answers
Consider the two triangles. Triangles W U V and X Z Y are shown. Angles V U W and Y X Z are congruent. Angles U W V and X Z Y ar
Inessa [12570]

Response:

B. Demonstrate that the ratios StartFraction U V Over X Y EndFraction and StartFraction W V Over Z Y EndFraction are the same, and that ∠V is congruent to ∠Y.

6 0
1 month ago
Read 2 more answers
Identify the errors made in finding the inverse of y = x2 + 12x. An image shows a student's work. Line 1 is x = y squared + 12 x
Svet_ta [12734]

Answer:

The three errors are:

1) Incorrectly swapping the variables x and y.

2) Failure to use the ± symbol.

3) The domain is wrong; it should be x ≤ 0.

Step-by-step explanation:

Review the following steps.

y = x^2 + 12x

Step 1: x = y^2 + 12x

The initial step is incorrect because the variables x and y were switched improperly; it should be:

x=y^2+12y

Step 2: y^2= x-12x

Step 3: y^2= -11 x

Step 4: y=\sqrt{-11x}, for x ≥ 0

Step 4 contains an error as the ± sign is required. Additionally, the function's domain is inaccurately stated.

The radicand must be nonnegative, implying that x must satisfy x ≤ 0.

4 0
2 months ago
Read 2 more answers
Mrs. Allan's car uses 8 gallons of gas for a 224-mile trip. Mrs. Owen's car uses 6 gallons of gas for a 210-mile trip. How many
lawyer [12517]
For a 560-mile journey, Mrs. Allan's car will require 20 gallons of fuel. Meanwhile, Mrs. Owen's vehicle will need 16 gallons for the same distance.
8 0
28 days ago
How does "money breeds money" apply to simple interest
Inessa [12570]
The phrase "money breeds money" suggests that having capital allows for the opportunity to generate additional income. The concept of simple interest means that you earn a percentage on an amount you possess at regular intervals, which supports the idea that money can indeed generate more money.
8 0
1 month ago
Other questions:
  • The function g(x) is graphed. Which statements about the function are true? Choose three options
    6·1 answer
  • A sailboat travels a distance of 2 1/2 miles in 1/6 of an hour.Which complex fraction represents the unit rate in miles per hour
    9·1 answer
  • Ezra counts the number of passengers who are already on the bus when he gets on each morning. His data for the last 15 days are
    9·1 answer
  • If h(x) is the inverse of f(x), what is the value of h(f(x))? 0 1 x f(x) A.0 B.1 C.X D.f(x)
    9·2 answers
  • Point B is in the interior of ∠AOC, m∠AOC = 108°, m∠AOB = 3m∠BOC. Find m∠AOB.
    13·2 answers
  • A grapefruit is 8% heavier than an orange, and an apple is 10% lighter than the orange.
    15·2 answers
  • Evelyn has $524.96 in her checking account. She must maintain a $500 balance to avoid a fee. She wrote a check for $32.50 today.
    6·1 answer
  • Which graph shows a set of ordered pairs that represent a function?
    9·2 answers
  • The students in a club are selling flowerpots to raise money. Each flowerpot sells for $15.
    11·1 answer
  • In a certain small town there were 50 babies born in one year. Of these 50 babies, 30 were girls and 20 were boys. To investigat
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!