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Alik [6]
2 years ago
9

Is this relation a function? (-1,2) (1,17) (3,-4) (1,20)​

Mathematics
1 answer:
RSB [31]2 years ago
4 0
No. The x value 1 has two y value 17 and 20. To be a function, each x value must have only one unique y value
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For the parallelogram ABCD the extensions of the angle bisectors AG and BH intersect at point P. Find the area of the parallelog
natita [175]

Answer:

The area of a parallelogram is 360 in.²

Step-by-step explanation:

Where DG = GH

GP = 12 in.

AB = 39 in.

∠DAB + ∠ABC = 180° (Adjacent angles of a parallelogram)

Whereby ∠DAB is bisected by AG and ∠ABC is bisected by BH

Therefore, ∠GAB + ∠HBA = 90°

Hence, ∠BPA = 90° (Sum of interior angles of a triangle)

cos(\angle GAB) = \dfrac{AP}{AB} = \dfrac{AP}{39} = \dfrac{GP}{GH} =\dfrac{12}{GH}

We note that ∠AGD = ∠GAB (Alternate angles of parallel lines)

∴ ∠AGD = ∠AGD since ∠AGD = ∠GAB (Bisected angle)

Hence AD = DG (Side length of isosceles triangle)

The bisector of ∠ADG is parallel to BH and will bisect AG at point Q

Hence ΔDAQ  ≅ ΔDGQ ≅ ΔGPH and AQ = QG = GP

Hence, AP = 3 × GP = 3 × 12 = 36

cos(\angle GAB) = \dfrac{AP}{AB} = \dfrac{36}{39}

\angle GAB = cos^{-1} \left (\dfrac{36}{39}  \right )

∠GAB = 22.62°

cos(\angle GAB) =  \dfrac{36}{39} = \dfrac{12}{GH}

GH =  \dfrac{39}{36} \times {12}

GH = 13 in.

∴ AD 13 in.

BP = 39 × sin(22.62°) = 15 in.

GH = √(GP² + HP²)

∠DAB = 2 × 22.62° = 45.24°

The height of the parallelogram = AD × sin(∠DAB) =  13 × sin(45.24°)

The height of the parallelogram = 120/13 =  9.23 in.

The area of a parallelogram = Base × Height = (120/13) × 39 = 360 in.²

7 0
3 years ago
Read 2 more answers
PLEASE ANSWER EACH OF THESE QUESTIONS IM GIVING OUT BRAINLIEST !!!!! D:
Alexus [3.1K]

Answer:

no 1

2x^2 + 6

no 2

x^2 + 63

no3

2x^2 + 20

no 4

3 x 3 x 4 divided by 3

=12cm^3

3 0
2 years ago
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How many solutions does the equation 4x + 8 = −2 − 2 + 5x have?
valina [46]

last one because you can solve it to many way6s

4 0
3 years ago
The value of k is: <br><br> please help im struggling
iVinArrow [24]

Answer:

  • E) 48

Step-by-step explanation:

<em>Parallel lines divide the transversals proportionally.</em>

Set proportions and solve for k:

  • k/24 = 64/32
  • k/24 = 2
  • k = 24*2
  • k = 48

Correct choice is E.

4 0
2 years ago
4
IceJOKER [234]

Answer:

21%

Step-by-step explanation:

3*7/42*3=21/100=21%

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2 years ago
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