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Ann [662]
3 years ago
7

What is the value of m

Mathematics
2 answers:
Roman55 [17]3 years ago
8 0

Answer:

m = 10

Step-by-step explanation:

  • From the image given, we can tell that there are two sides for angle H for the segment IJ.
  • From that we can see that angle H is a supplementary angle. A supplementary angle is an angle whose sum is 180°
  • So:
  1. (2m+10)°+(5m+100)° = 180°
  2. (7m+110)° = 180°
  3. (7m)° = 70
  4. m = 10
harina [27]3 years ago
4 0
10 you’re welcome :)
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Which is equivalent to tan θ?
Aloiza [94]

That which is equivalent to tanθ is A sinθ/cosθ

To answer the question, we need to know what tanθ is

<h3>What is tanθ?</h3>

Tanθ is a trigonometric identity which is the tangent of the angle .

Now, from the unit circle, with radius, r = 1, we have that tanθ = y/x.

Also, the sine of the angle θ is sinθ = x/1 = x

And also, the cosine of the angle θ is cosθ = y/1 = y

Since we have that

  • tanθ = y/x,
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Substituting the values of the variables y and x into tanθ, we have

tanθ = y/x

tanθ = sinθ/cosθ

So, that which is equivalent to tanθ is A sinθ/cosθ

Learn more about tanθ here:

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5 0
2 years ago
What additional information would allow you to prove the quadrilateral is a parallelogram?
slavikrds [6]

The additional information that would allow us to prove that the image is a parallelogram is that; Line EJ ≅ Line GJ

<h3>How to prove a Parallelogram?</h3>

The six basic properties of parallelograms are primarily;

  • Both pairs of opposite sides are parallel
  • Both pairs of opposite sides are congruent
  • Both pairs of opposite angles are congruent
  • Diagonals bisect each other
  • One angle is supplementary to both consecutive angles (same-side interior)
  • One pair of opposite sides are congruent AND parallel.

Now, looking at the parallelogram properties above and comparing with the given image of the quadrilateral attached, we can say that the additional information that would allow us to prove that the image is a parallelogram is that; Line EJ ≅ Line GJ

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7 0
2 years ago
The surface area of a cone with radius r units and slant height s units is shown below:
Effectus [21]
<span>Lateral Area = (<span>π<span> • r •<span> slant height)
If radius = 2 and
slant height = 3 then

</span></span></span></span>
<span>Lateral Area = (<span>π<span>  * 2 * 3)

The lateral area = </span></span></span><span><span><span>18.8495559215 </span> </span> </span> <span>

</span>

3 0
3 years ago
A bag contains 50 lottery balls, numbered 1-50. A ball is chosen at random, then a month of the year is selected. What is the pr
Morgarella [4.7K]

Answer:

4/75

Step-by-step explanation:

We have two sample spaces

1.Lottery balls

2. Month of the year

For lottery balls the sample space is S= 50

Multiples of 3 between 1 and 50 are

(3,6,9,12,15,18,21,24,27,30,33,36,39,42,45,48)= 16 in numbers

Hence the probability of choosing a multiple of 3

Pr(multiple of 3) = 16/50= 8/25

Also the sample space for months of the year is S= 12

Two months starts with letter m, March and may

Pr(of months with m) = 2/12= 1/6

the probability of choosing a multiple of 3 and a month starting with the letter M= 8/25*1/6= 8/150= 4/75

6 0
3 years ago
A town's population has been growing linearly. In 2003 the population was 47,000. The population has been growing by 1200 people
blsea [12.9K]

Answer:

Step-by-step explanation:

The population in 2003= 47000

Since the population increase by 1200 every year,

in 2004 the population will be 47000+1200

in 2005 the population will be 47000+(1200+1200) which is the same as

47000+2(1200) where 2 is 2 years after 2003,

Therefore the population x years after 2003 is 47000+x(1200).

P= 47000+1200x

b) The population at 2009 which is 6 years after 2003 will be

47000+(1200)*6=47000+7200= 54200

The population at 2009 is 54200,

7 0
3 years ago
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