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Stella [2.4K]
3 years ago
14

Given: AD || BC and AD ≅ BC Prove: AB || CD

Mathematics
1 answer:
Svet_ta [14]3 years ago
3 0

Answer:

Statement 1: it is a parallelogram

Reason 1: if one pair of sides of a quadrilateral are parallel and congruent sides, then it is a parallelogram.

Statement 2: AB is parallel to CD

Reason 2: in a parallelogram opposite sides are parallel.

QED

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Which is a step in the process of calculating successive discounts of 8% and 10% on a $50 item
Paraphin [41]

Answer:

The  process of calculating successive discounts of 8% and 10% on a $50 item is take 10% of $46.

Step-by-step explanation:

As given

successive discounts of 8% and 10% on a $50 item .

First find out for 8 % discount

8% is written in the decimal form

= 0.08

8 % of $50 item = 0.08 × 50

                          = $ 4

Price of item after 8% discount = 50 - 4

                                                    = $46  

First find out for 10 % discount

10% is written in the decimal form

= 0.1

8 % of $48 item = 0.1× 46

                          = $4.6

Price of item after 8% discount = 46 - 4.6

                                                    = $41.4

Therefore in the successive discounts of 8% and 10% on a $50 item is $41.4 .

5 0
3 years ago
Kevin wants to paint the box with a new color. He must determine the surface area of the box to caculate the amount of paint to
tankabanditka [31]

Answer:

Whatever he wants, he's painting so he can paint however he wants

7 0
3 years ago
Read 2 more answers
Find x and y please!!! I need help!!
jonny [76]

Answer

Step-by-step explanation:

(15x-8y)=52

180=90+52+x

x=38

System of equations:

15x-8y=52

6x+14y=38

y=-6.5+15/8x

6x+14(-6.5+15/8x)=38

6x-91+26.25x=38

32.25x=129

x=4

15(4)-8y=52

60-8y=52

-8y=-8

y=1

x=4

7 0
2 years ago
Need help with 34,35,36,37
nirvana33 [79]
34. x - 3 = 8x + 4
      -3 - 4 = 8x - x
      -7 = 7x
      -7/7 = x
      -1 = x

y = x - 3
y = -1 - 3
y = -4

solution is (-1,-4)
===================
35. -6 = -x - 2y
      x = -2y + 6

2 + 5x = -2y
2 + 5(-2y + 6) = -2y
2 - 10y + 30 = -2y
32 = -2y + 10y
32 = 8y
32/8 = y
4 = y

2 + 5x = -2y
2 + 5x = -2(4)
2 + 5x = -8
5x = -8 - 2
5x = -10
x = -10/5
x = -2

solution is (-2,4)
==================
36. 4x + 6y = 2000
       x + y = 410
==================
37. 4x + 6y = 2000
       x + y = 410......multiply by -6
----------------------
4x + 6y = 2000
-6x - 6y = - 2460 (result of multiplying by -6)
--------------------add
-2x = - 460
x = -460/-2
x = 230 <=== tickets in advance
 

3 0
3 years ago
-7.79+9.55 what does this equal?
prohojiy [21]

Answer:

1.76

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
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