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statuscvo [17]
3 years ago
13

Given: AD = BC and BCD = ADC Prove: DE = CE

Mathematics
2 answers:
Romashka-Z-Leto [24]3 years ago
7 0

Answer:

1. AD ≅ BC    [Given]

2. ∠ADC ≅ ∠BCD    [Given]

3. DC ≅ DC    [reflexive property]

4. ΔADC ≅ ΔBCD    [SAS]

5. ∠DAE ≅ ∠CBE    [CPCTC]

6. ∠DEA ≅ ∠CEB    [def. of vertical angles]  

7. ∠DEA ≅ ∠CEB    [vertical angles theorem]

8. ΔAED ≅ ΔBEC    [AAS]

9. DE ≅ CE    [CPCTC]

Step-by-step explanation:

Just finished mine :D

erastova [34]3 years ago
3 0

Answer:

According to AD=BC So AC=BD

Step-by-step explanation:

AD = BC and angle ADC = angle BCD

we have to prove AC = BD

let's see ∆ADC and ∆BCD

AD = BC [ given ]

angle ADC = angle BCD [ given ]

CD = CD

from S - A - S

∆ADC congruence ∆BCD

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Jimmie adds 3.24, 4.294 and 2.073 . How much more than 5.31 is the sum
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A company provided the following data: Selling price per unit: 60 Variable cost per unit 20 Total fixed costs 400,000 HOw many u
EastWind [94]

Answer:

The company needs to sell 9000 units in order to turn a profit of $40,000

Step-by-step explanation:

Hello, great question. These types are questions are the beginning steps for learning more advanced Algebraic Equations.

From the question we can get some important hints before creating our formula. First the Selling Price will be profit so it will be a positive number, but both unit cost and fixed costs are losses so they will be negative values in our formula. Also our formula will depend on the amount sold which we can represent as the variable x. With these hints we can create our formula as the following

(60x-20x)-400,000 = y

Where:

  • x is the amount of units created and sold
  • y is the total profit after selling x-units

Now that we have our formula the question asks how many units need to be sold in order to earn a profit of $40,000. We can calculate this by replacing the $40,000 with y and solving for x like so,

(60x-20x)-400,000 = 40,000 .... add 400,000 on both sides

40x= 360,000 ... divide both sides by 40

x= 9000

The company needs to sell 9000 units in order to turn a profit of $40,000

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

5 0
3 years ago
Triangle ABC has the following coordinates: A (-2, 3) B (4, -3) C (-2, -3) What are the coordinates points for triangle A'B'C' i
lina2011 [118]

Answer:

A' (3/2, -9/4)

B' (-3, 9/4)

C' (3/2, 9/4)

Step-by-step explanation:

1. You have the following coordinates of the vertices of the triangle ABC:

A (-2, 3) B (4, -3) C (-2, -3)

2. The given scale factor is -3/4, therefore, to calculate the coordinates of the triangle  A'B'C', you must multiply each coordinate of the triangle ABC by the scale factor.

3. Therefore, you obtain that the the coordinates of the triangle  A'B'C' are:

A'=((-2)(-3/4), (3)(-3/4))=(3/2, -9/4)

B'=(4(-3/4), (-3)(-3/4))=(-3, 9/4)

C'=((-2)(-3/4), (-3)(-3/4))=(3/2, 9/4)

7 0
3 years ago
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