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polet [3.4K]
3 years ago
7

It's all explained in the picture.

Mathematics
1 answer:
balu736 [363]3 years ago
8 0

Answer:

Inequality Form: m<7/3

Interval Notation: -∞, 7/3

You might be interested in
9. Complete the reasons in the proof below.
Arada [10]
For a), this is clearly a given as it is literally to the right of where it says “Given:”
For b), since ON bisects ∠JOH, this means that it splits it into two separate angles - JON and HON, which are similar due to that bisects mean that it splits it equally into two halves
For c), since NO is the same thing as NO, it is equal to itself
For d), since AAS (angle-angle-side) congruence states that if there are two angles that are congruent (proved in a) and b) ) as well as that a side is congruent (proved in c) ), two triangles are congruent
For e), since two triangles are congruent, every side must have one side that it matches up to in the other triangle. As the opposite side of angle H is JO and the opposite side of angle J is OH, and ∠J=∠H, those two are congruent. As JN and HN are the two sides left, they must be congruent.

Feel free to ask further questions!
4 0
3 years ago
The numbers 1, 2, 3, 4, 5, and 6 are placed in a line. How many even numbers can be made from these digits?
fiasKO [112]
<h3>Answer:    360</h3>

==========================================================

Explanation:

We have 3 even values (2,4, and 6) so this is the number of choices we have for the units digit. Recall that a number is even if the units digit is 0,2,4,6 or 8.

Once we have the units digit selected, we have 6-1 = 5 choices for the first slot, 6-2 = 4 choices for the second slot, and so on until we get down to 6-5 = 1 choice for the fifth slot

We could write it out like this

  • slot one = 5 choices
  • slot two = 4 choices
  • slot three = 3 choices
  • slot four = 2 choices
  • slot five = 1 choice
  • slot six = units digit = 3 choices

Multiply those values out: 5*4*3*2*1*3 = 360

There are 360 different even numbers possible.

6 0
3 years ago
Please help! Find m<br><br> 160° <br><br> 260° <br><br> 50° <br><br> 80°
antoniya [11.8K]
80

Expiation: it’s not more then 180, or 50
260
8 0
3 years ago
Find the geometric mean of 20 and 25​
IrinaK [193]

Answer:   √20⋅25=22.36

Step-by-step explanation:

Geometric mean of 20 and 25 is √20⋅25=22.36(2dp)

5 0
3 years ago
A rope is tied to the bottom of a hot air balloon as shown. The altitude of the balloon is 50 feet and the rope is 75 feet long.
Semenov [28]

Answer:

As per the statement

The altitude of the balloon is 50 feet and the rope is 75 feet long.

⇒ Altitude of the balloon = 50 feet.

And length of the rope = 75 feet.

We have to find the angle that rope makes with ground,

Using Sine ratio:

\sin \theta = \frac{\text{Opposite side}}{\text{Hypotenuse side}}

You can see the diagram as shown below.

Here,

Opposite side =  Altitude of the balloon = 50 feet.

Hypotenuse side =  length of the rope = 75 feet.

Substitute the given values we have;

\sin \theta = \frac{50}{75} =\frac{2}{3}

⇒\theta = \sin^{-1} (\frac{2}{3}) = 41.8°

Therefore, the angle that the rope makes with the ground is, 41.8 degree

8 0
3 years ago
Read 2 more answers
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