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seraphim [82]
3 years ago
14

What is the sum of 20 consecutive numbers, if the first one is m?

Mathematics
1 answer:
sveta [45]3 years ago
7 0

Answer:

20m+189

Step-by-step explanation:

Firstly I let the numbers be m,m+1,m+2......m+19. Then I added all the numbers and put variables and constant at different portions and added all variables which were 20(m) and all constant were equal to 189...so the answer is 20m+189

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What is the perimeter of the triangle below? Round to the nearest hundredth.
Keith_Richards [23]

You're going to need to use Pythagoras' theorem to work this one out!

As you know, the perimeter of a triangle is just all the lengths of the sides added up.

We'll start with side AC first. We can see that A is (-8, -4) and C is (-6, -2). That means to get from A to C, we need to go 2 units to the right, and 2 units up. Which means we have our two sides to work out the length from Pythagoras' theorem. 2² + 2² = c², c = √8.

Now we'll move onto side AB. We already know A is (-8, -4) from above, and B is (-7, -8). That means to get from A to B, we have to go 4 units down, and 1 unit to the right. So once again: 4² + 1² = c², c = √17.

Lastly, we'll work out side BC. We know that B is (-7, -8) and C is (-6, -2). That means to get to C from B, we have to go 1 unit to the right and 6 units up. So, again: 1² + 6² = c², c = √37.

Now that we have all of our lengths, we simply just add them up!

√8 + √17 + √37 ≈ 13.03 units.

(I've also attached something to help you visualise how I worked it out.)

6 0
3 years ago
Determine whether a triangle can be formed with the given side lengths. If so, use Heron's formula to find the area of the trian
Elena-2011 [213]

The answer is 15,183.77 feet.

5 0
3 years ago
examine the diagram to the right then use the information provided in the diagram to find the measures of angles x , y, z. For e
sergiy2304 [10]

Answer:

Step-by-step explanation:

The letters are virtually impossible to read. I'll do my best, but recognize it is why you are not getting answers. I take y to be next to the 100 degree angle and part of the triangle.

I take x to be to the left of y. It is equal to the 28o angle because of the tranversal properties.

Finally z is the exterior angle of the triangle and as such has properties of z = y + 28 where y and 28 are remote interior angles to the triangle.

so x = 28 because of the transversal cutting the two parallel lines. They are equal by remote exterior angles of parallel lines.

y = 180 - 100 - 28 = 52

Finally z = 52 + 28 = 80 degrees because x and y add to 80 degrees.

If the assumptions are incorrect, could I trouble you to repost the diagram or correct the errors I  have made.

4 0
3 years ago
6÷2(1+2)= what is the answer
Simora [160]

6÷2*(1+2)

=6÷2*(3)

=3 *3

=9

3 0
3 years ago
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In a bag of marbles, you have 4 green, 3 yellow, 5 blue, and 8 red marbles. What is the probability of picking a green marble fr
Marina86 [1]
25% or 1/4 in chance. 4 marbles and 16 other colours. 4/16=1/4=25%
8 0
2 years ago
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