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UkoKoshka [18]
3 years ago
6

Drag a statement or reason to each box to complete this proof.

Mathematics
2 answers:
gayaneshka [121]3 years ago
8 0

Answer:

Step-by-step explanation:

Statements                                                                     Reasons

1. Quadrilateral ABCD with m∠A = (7x)°                            Given

m∠B = (5x)°, m∠C = (7x)° and m∠D = ( 5x)°

2. m∠A + m∠B + m∠C + m∠D = 360°                  The sum of the interior angle                                                                          

                                                                                 of the quadrilateral is 360°

3. (7x)° + (5x)° + (7x)° + (5x)° = 360°                         Substitution property

4.  24x = 360                                                           Combine like terms

5. x = 15                                                                 Division property of equality

yKpoI14uk [10]3 years ago
5 0

Given all four angles of a quadrilateral. Sum of all angles of a quadrilateral is equal to 360°.

So, m<A+ m<B+m<C + m <D = 360°.

7x+5x+7x+5x= 360 (Substitution property).

24x = 360 (Combine like terms).

x= 15 (Proved)

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Please help me...I will give brainliest. Please dont answer if you dont know. I really need this. Thankyou have a good day:)
enyata [817]

Answer:

7: 45.2 (rounded from 45.21)

8: 114.5 (rounded from 114.45)

9: 115.9 (rounded from 115.86)

10: 105.6 (rounded from 105.56)

and of course the unit is cm3

Step-by-step explanation:

4 0
3 years ago
2/x + 3/y = 13 ; 5/x - 4/y = -2​
Tomtit [17]

Given that

(2/x)+(3/y) = 13--------(1)

(5/x)-(4/y) = -2 -------(2)

Put 1/x = a and 1/y = b then

2a + 3b = 13 ----------(3)

On multiplying with 5 then

10a +15 b = 65 -------(4)

and

5a -4b= -2 ----------(5)

On multiplying with 2 then

10 a - 8b = -4 -------(6)

On Subtracting (6) from (4) then

10a + 15b = 65

10a - 8b = -4

(-)

_____________

0 + 23 b = 69

______________

⇛ 23b = 69

⇛ b = 69/23

⇛ b =3

On Substituting the value of b in (5)

5a -4b= -2

⇛ 5a -4(3) = -2

⇛ 5a -12 = -2

⇛ 5a = -2+12

⇛ 5a = 10

⇛ a = 10/5

⇛ a = 2

Now we have

a = 2

⇛1/x = 2

⇛ x = 1/2

and

b = 3

⇛1/y = 3

⇛ y = 1/3

<u>Answer :-</u>The solution for the given problem is (1/2,1/3)

<u>Check</u>: If x = 1/2 and y = 1/3 then

LHS = (2/x)+(3/y)

= 2/(1/2)+3/(1/3)

= (2×2)+(3×3)

= 4+9

= 13

= RHS

LHS=RHS is true

and

LHS=(5/x)-(4/y)

⇛ 5/(1/2)- 4/(1/3)

⇛(5×2)-(4×3)

⇛ 10-12

⇛ -2

⇛RHS

LHS = RHS is true

5 0
2 years ago
Which function is equivalent to y = x2 - 6x + 10?
valentina_108 [34]
Option D
I hope that is right
3 0
2 years ago
You can buy a 20 pound bag of dog food for Doo.<br> What is the cost per pound?
Diano4ka-milaya [45]

Answer:

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Step-by-step explanation:

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3 0
3 years ago
Read 2 more answers
Solve for the unknown variable 5/3(4x-5)=4x-1/3
charle [14.2K]

Answer:

x=3

Step-by-step explanation:

its should be equal

6 0
3 years ago
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