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True [87]
2 years ago
14

1/3 (3x)(2x-5)(2x-5)=125

Mathematics
1 answer:
katrin [286]2 years ago
8 0

Answer:

the answer is shown below

Step-by-step explanation:

hope this helps

have an awesome day -TJ

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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
HELP PLEASE!!!!!!
Westkost [7]
False true true false true false
8 0
3 years ago
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Halle has 10 times as many pages to read for her homework assignment as Janet altogether they have to read 264 pages how many pa
statuscvo [17]
Think of the equation as the 10 times as parts so if Halle read ten times as more than Janet then we do the equation 264/11 because we have to include Janet's part too so Janet read 24, one part of the total while Halle read 240, 10 parts of the total
7 0
3 years ago
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Write an equation of the line passing through the points (4,6) and (-2, - 18).
olga_2 [115]

Answer:

y = 4x – 10

Step-by-step explanation:

slope formula: m = \frac{y_{2}-y_{1} }{x_{2}-x_{1} }

point-slope formula: y-y_{1}=m\left(x-x_{1}\right)

  1. Use slope formula and plug in your numbers: m = \frac{-18-6}{-2-4 }
  2. Solve for slope m = 4
  3. Use the point-slope formula to solve for the equation: y-6=4\left(x-4\right)
  4. Solve and find equation: y=4x-10

Note: When given two points you only need to pick one for the point-slope formula! Best to choose the positive one so you don't have to deal with the negatives!

Hope this helps! Please give Brainliest!

4 0
2 years ago
Please help ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.
wlad13 [49]

Answer:

B

Step-by-step explanation:

7 0
3 years ago
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