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
nadezda [96]
3 years ago
9

what additional information is required to prove triangle ABC congruent to triangle DCB by hypotenuse-leg?

Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
4 0

The correct option is 3.

Step-by-step explanation:

The HL theorem states that 'if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent.'

From the given figure it is noticed that triangle ABC and triangle EDC. In triangle  ABC and triangle EDC, hypotenuses of triangles are AB and DE respectively.

To use HL hypotenuse and one leg of triangles must be equal.

               AB=DE             (hypotenuse)

              AC=DE              (leg)

               BC=ED                       (leg)

                 

Therefore the additional information    will allow you to prove the triangles congruent by the HL Theorem. Option 3 is correct.

You might be interested in
What is the answer to, -2x - 13 = -3x - 5​
shtirl [24]

-2x - 13 = -3x - 5​

Step 1: Combine like terms

x's go with x's (-2x and -3x). To do this add 2x to both sides

(-2x + 2x) - 13 = (-3x + 2x) - 5​

(0) - 13 = (-x) - 5​

- 13 = -x - 5​

normal numbers go with normal numbers ( -13 and -5). To do this add 5 to both sides

(- 13 + 5) = -x + (- 5 +​ 5)

-8 = -x + (0)

-8 = -x

Step 2: Isolate x by dividing -1 to both sides (this will take the negative sign away from the x)

\frac{-8}{-1} =\frac{-x}{-1}

8 = x

x= 8

Hope this helped!

6 0
3 years ago
Enrollment in a school district is currently 1250 students and is decreasing at approximately 3% per year. Enter the number of y
FromTheMoon [43]

Answer: the number of years is 7.3 years

Step-by-step explanation:

We would apply the formula for exponential decay which is expressed as

A = P(1 - r)^ t

Where

A represents the population after t years.

t represents the number of years.

P represents the initial population.

r represents rate of growth.

From the information given,

P = 1250

A = 1000

r = 3% = 3/100 = 0.03,

Therefore

1000 = 1250(1 - 0.03)^t

1000/1250 = (0.97)^t

0.8 = 0.97^t

Taking log of both sides, it becomes

Log 0.8 = tLog 0.97

- 0.0969 = - 0.0132t

t = - 0.0969/- 0.0132t

t = 7.3 years

4 0
3 years ago
The cheeseburger contained 30 grams of total fat. If the recommended daily allowance of total fat for a 2,000 calorie diet is 64
netineya [11]

Answer:

47%

Step-by-step explanation:

We can find the percent of the daily allowance by finding what percent 30 is of 64:

30/64 = 0.468 or approx. 47%

5 0
3 years ago
Help me help me help me ,!!!
garik1379 [7]

Answer:

How about; Six cats live in a house. Twenty more cats move in. It cost $3 to feed each cat. How much $ do you need to feed all the cats?

This is just and idea lol please don't use it as your own. it would be plaigarism and if someone found out the teacher would give you 0% or F. Hope this helps though!

Step-by-step explanation:

5 0
3 years ago
Solve for x<br> 1-1=1-7<br><br> O no solution<br> O x = 5 or x = 10<br> O x = 5<br> O x = 10
Triss [41]

Answer:

7 9. If you have any fractions, get rid of those first by multiplying ALL ... to model and solve 3n 6 15. Then solve the equation. 10. 13 x = 32 + 5 x 3.

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • Which is the correct answer?
    13·2 answers
  • A locker combination has three nonzero digits, and digits cannot be repeated. If the first two digits are even, what is the prob
    7·1 answer
  • 20% of a number is x. What is 100% of the number. Assume x&gt;0
    8·1 answer
  • And another question lol
    15·2 answers
  • Stanley wants to know how many students in his school enjoy watching talk shows on TV. He asks this question to all 24 students
    15·1 answer
  • Use the markings in the image to answer the following questions (drawing not to scale):
    14·1 answer
  • Hello! i need help,, again,, :sob:
    6·1 answer
  • Please help look at the box!!
    5·1 answer
  • What is 353% as a decimal??
    13·2 answers
  • Easy answer!! Simplify
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!