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vodomira [7]
2 years ago
7

Which polynomial represents the difference below 5x^2 + 9x + 3

Mathematics
1 answer:
madam [21]2 years ago
3 0

Answer:

-x^2+12x+3

Step-by-step explanation:

remove parenthesis

collect the terms

and simplify

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Given: ABCD parallelogram BK ⊥ AD , AB = 6, AK = 3 Find: m∠A, m∠B, m∠C, m∠D
Troyanec [42]

Answer: Angle A = 60°, angle B = 120°, angle C = 60°, angle D = 120°

Step-by-step explanation: Please refer to the attached diagram for further details.

The question has given the parallelogram ABCD as having side AB measuring 6 units, side AK measuring 3 units and line BK has been drawn perpendicular to line AD. This means line AK forms a right angle at the point where it meets line AD. From the information provided and the figure derived from that, we have right angled triangle ABK with the right angle at point K, line AB equals 6 units and line AK equals 3 units.

Using angle A as the reference angle, line AK is the opposite (side facing the reference angle), line AB is the hypotenuse (line facing the right angle) and line AK is the adjacent (side that lies between the right angle and the reference angle).

Hence, using the trigonometric ratios,

Cos A = adjacent/hypotenuse

Cos A = 3/6

Cos A = 0.5

Checking with the calculator, (that is second function of Cos 0.5)

A = 60

The opposite sides of a parallelogram are equal (that is line AD is parallel to line BC) and therefore opposite angles are equal (that is angle A is equal to angle C).

Similarly, angle B is equal to angle D. However, angles in a quadrilateral equals 360 degrees.

Therefore, angles in parallelogram ABCD is derived as;

A + B + C + D = 360

60 + B + 60 + D = 360

120 + B + D = 360

Subtract 120 from both sides of the equation

B + D = 240

Having known that angle B equals angle D, angles B and D is derived as each half of the value 240

Angle B = 240/2

Angle B = 120

and angle D = 120

Therefore, the angles are;

A = 60, B = 120, C = 60, D = 120

3 0
3 years ago
How do you type 40:16 ratio in to simplest form
Blizzard [7]
5:2
because you need to divide them by 8 to get to simplest form
7 0
3 years ago
Read 2 more answers
WHOEVER IS RIGHT GETS BRAINLIST
pochemuha
The answer to the first question is b
I don’t know the answer to the second one sorry
4 0
2 years ago
The base of a lamp is solid glass in the shape of a square prism. Each side of the square measures 5 in. If 300 in. of
Elenna [48]

Answer:The answer is 12

Step-by-step explanation:

I cheated

4 0
3 years ago
Find the equation of the line. y=?x+? lol helppp please
Romashka-Z-Leto [24]

Answer:

y=3/4x+(-2) aka the first blank is 3/4 the second blank is -2

Step-by-step explanation:

The first blank is the slope, the second one shows the y-intercept. You are welcome

6 0
3 years ago
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