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lakkis [162]
3 years ago
13

is this quadrilateral a parallelogram?If yes, state the definition or theorem that justifies your answer.​

Mathematics
2 answers:
Xelga [282]3 years ago
4 0

Answer:

Yes.

Step-by-step explanation:

Yes.   Because opposite angles are congruent.

Verdich [7]3 years ago
3 0

Answer:

yes

Step-by-step explanation:

because opposite angles are congruent

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AB←→||CD←→. Find the measure of ∠BFG.
Colt1911 [192]

Answer:

Value of ∠ BFG = 135°

Step-by-step explanation:

Given:

AB || CD

∠ AFG = (3x + 15)°

∠ FGD = (5x - 5)°

Find:

∠ BFG

Computation:

We know that;

∠ AFG = ∠ FGD

3x + 15 = 5x - 5

3x - 5x = - 5 - 15

- 2x = - 20

2x = 20

x = 10

Value of ∠ AFG = 3x + 15

Value of ∠ AFG = 3(10) + 15

Value of ∠ AFG = 45°

∠ BFG = 180° - Value of ∠ AFG

∠ BFG = 180° - 45°

∠ BFG = 135°

Value of ∠ BFG = 135°

8 0
3 years ago
The function f(x) = (x − 4)(x − 2) is shown.What is the range of the function?
yuradex [85]

Answer:

The range is y ≥ -1

Step-by-step explanation:

∵ f(x) = (x - 4)(x - 2)

∴ f(x) = x² - 2x - 4x + 8

∴ f(x) = x² - 6x + 8 ⇒ quadratic function (ax² + bx + c) represented by

   parabola graphically

∵ a = 1 , b = -6 , c = 8

∴ x-coordinate of its vertex = -b/2a = -(-6)/2×1 = 3

∴ f(3) = (3)² - 6(3) + 8 = -1

∵ a is positive ⇒ the curve has minimum point and it's open upward

∴ the minimum point is (3 , -1)

∴ The range is y ≥ -1 ⇒ because the minimum value is -1

3 0
3 years ago
A proton represents a positive charge. Write an integer to represent 5 protons. An electron represents a negative charge. Write
Ugo [173]

Answer

Given,

proton represent positive charge                                    

the integer that will give the  representation of 5 protons will be equal to + 5

an electron represents negative charge                                            

the integer that will give the representation of 3 electrons will be equal to -3

8 0
3 years ago
She wants to save 3/5 of 180.00 and spend the rest hpw much would she have left
Anastasy [175]
3/5 of 180 is 108
180-108=72
she would have 72$ left
6 0
3 years ago
Read 2 more answers
Simplify -8.6 + 2.3 + 1<br><br> -5.3<br> -7.3<br> -9.9
Hunter-Best [27]

Answer:

-5.3.

Step-by-step explanation:

-8.6 + 2.3 + 1

= -6.3 + 1

= -5.3.

5 0
3 years ago
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