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arsen [322]
3 years ago
11

50 points Prove and find the measurement?

Mathematics
2 answers:
frez [133]3 years ago
8 0

Answer:

1) they are similar by AAA postulate

2) 9.6 cm

Explanation:

Triangles CAB and CED are similar

because:

1) both have the same angle C

(vertically opposite angles)

2) Angle A = Angle E

(alternate angles)

3) Angle B = Angle D

(alternate angles)

CA/CE = AB/ED

10/8 = 12/DE

DE = 12 × 8/10

DE = 9.6 cm

nydimaria [60]3 years ago
7 0

Answer:

see below

Step-by-step explanation:

Angle ACE = DCE since they are vertical angles

Angle A = Angle E parallel lines cut by a transversal form congruent alternate interior angles

Angle B = Angle D parallel lines cut by a transversal form congruent alternate interior angles

When all three angles are equal, the triangles are similar.

We can use ratios to find DE

DE         CE  

------- = ----------

AB           AC

DE         8

------- = ----------

12           10

Using cross products

10 DE = 8*12

10 DE = 96

Divide by 10

DE = 9.6

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pogonyaev

Answer:

By hypotenuse - side test (HL) the two triangles are congruent.

Step-by-step explanation:

In ∆ABC and ∆DCB

i) angleABC = angleDCB.....(each 90°)

ii) BC = BC .....( common side)

iii) AC = DB.....(given)

therefore by hypo-side test ∆ABC congruent ∆DCB

5 0
3 years ago
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Mr Satyal borrowed Rs 50000 and after ane year she returned the loan by paying 60000. What is the intrest paid and what is the r
Hatshy [7]

The interest paid is Rs 10000

The rate of interest  is  20%

Step-by-step explanation:

Step 1 :

Amount  borrowed by Mr. Satyal = Rs 50000

Amount repaid  = Rs 60000

Interest is charged on the principal amount and the amount repaid will be the sum of the interest paid plus the principal amount

Hence the interest paid is 60000 - 50000 = Rs 10000

Step 2:

The rate of interest is  calculated as follows :

Divide the interest calculated by the principal amount and is expressed as percentage.

Hence the interest rate  = \frac{10000}{50000} × 100 = 20%

Step 3 :

The interest paid is Rs 10000

The interest rate  is  20%

5 0
3 years ago
Can someone please give me the answers to my math homework
jok3333 [9.3K]

Answer: #1 is 10. #2 is 24. #3 is 3 1/5. #4 is 1 1/9. #5 is 21. #6 is 10 2/3. #7 is 30. #8 is 11 3/7. I’m only telling you eight of them because you are in fifth grade and you should try to complete the worksheet even if you mess up. You will learn from your mistakes after the paper is graded.


Step-by-step explanation: To get the answer, all you have to do is flip the second number and then multiply.


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3 years ago
The model represents an equation. What value of x makes the equation true?
Cerrena [4.2K]

Answer:

C

Step-by-step explanation:

(-3) x 4 = (-12) + 6 = -6

3 + 3 = 6 + (-12) = -6

(-6) = (-6)

Because adding positive to negative is like subtracting the negative if that makes sense.

Hope this helps!

Have a great day!

Plz mark brainliest

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LekaFEV [45]

Answer:

Done below!

Step-by-step explanation:

(x - root)

(x - 2)(x - (-1))(x - (-5)) = (x - 2)(x + 1)(x + 5)

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