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san4es73 [151]
2 years ago
5

gn="absmiddle" class="latex-formula">
Mathematics
1 answer:
svetoff [14.1K]2 years ago
7 0

Answer:

15yx^2-34y-16

Step-by-step explanation:

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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
50Pts guys!!!! Please help me its easy!
mote1985 [20]

Answer:

c. f(x)=x(x+2)(x-1)(x-4)

Step-by-step explanation:

Where it says "as x goes to negative infinity" then "y goes to infinity" (that's the part with the infinity symbols) that means the graph is going up at it's left end. This curve is a quartic (4th degree) which means its left and right ends are kind of parabola-ish, but the middle is not the neat u-ish, v-ish shape of a parabola; it's more like a wonky, noodle-ish wavy affair. Anyway, LIKE a parabola when the beginning of the equation is positive, the two ends point up. That's what's happening here and so we can eliminate b. and d. as potential answers.

Since -2, 0, 1, 4 are zeros (which are solutions...and also x-intercepts) we can find the factors of the function.

If x = -2

ADD 2 to both sides.

x + 2 = 0

This means (x+2) is a factor.

This is enough info to select answer c. but let's verify the other factors.

If x = 1

SUBTRACT 1 from both sides.

x - 1 = 0

Thus means (x - 1) is a factor.

If x = 4

SUBTRACT 4 from both sides.

x - 4 = 0

(x - 4) is a factor.

You can see c. has all these factors as well as x, because x=0 already, so x is a factor too.

I think of this as a working backwards problem, bc usually you have to factor and solve. This one, you have solutions (which are zeros and x-intercepts) and work backwards to find factors and multiply them together to find the function.

5 0
2 years ago
Can you solve number 74 plzzzzzzzzzzzzzzzzzzz
Mila [183]
The answer would be graph b.
It would be graph b because the point would be five to the left(West) and two down(South).
3 0
3 years ago
Answer 16., 17., and 18., Text me after you have..!
musickatia [10]
I'm not quite sure how I'd attach a picture of my working so I'll explain the method.

16) I multiplied both 3.5 and 40 by ten so that I could divide them to find the number of servings. 35 divided by 400 is 11 remainder 15. If you then divide the remainder by 10 you get 11 servings and 1.5 ounces left over.

17) if you add up 26, 17, and 37 inches you get 80 inches, or just over 6 feet. Hence, he should buy an 8 foot length rod in order to have as little waste as possible.

18) 12.25 pounds is 196 ounces. Hence, the shipping rate at $0.26/ounce would end up being $50.96. From this we can see that the flat-rate box at $25 is less expensive.
4 0
3 years ago
arun had 50 rupees if he had spent 3 by 5 of his money on an alarm clock how much money is he left with him
Snowcat [4.5K]

Answer:

total money=rupees 50

3/5 of 50= rupees 30

money he spent = rupees 30

money he's left with =50-30=20

<em>mark this as brainliest!!!!</em>

<em>pls</em><em> </em><em>follow</em><em> </em><em>me</em><em>!</em><em>!</em>

4 0
3 years ago
Read 2 more answers
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