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Alex73 [517]
3 years ago
5

Need help with this geometry assignment due soon pls smart people help and show work

Mathematics
1 answer:
Mamont248 [21]3 years ago
5 0

Answer:

1) 20 degrees.  2)60 degrees.    3)30 degrees

Step-by-step explanation:

For number 1, there are 180 degrees in a triangle. Since we already know all the measures, we can just make an equation.

90+31+3x-1=180

120+3x=180

-120      -120

3x=60

x=20

for number 2, the traingle must be equilateral because they all have the same measure. That's why it's 60 because 60*3=180

Last one:

Same as 1st one. Make an equation: x+3x+2x=180

Combine like terms

6x=180

x=30

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figure#0 has 4 tiles figure#1 has 9 tiles figure#2 has 16 figure #3 has 25 tiles figure#4 has 36 tiles figure#5 has 49 tiles how
bogdanovich [222]

The figure number and the number of tiles are related by the number the formula

t = (f + 2)^2

The number of tiles (t) equals the figure number plus 2 the result of that squared.

For example for f =1

the number of tiles is t = (n + 2) ^2 = (1 + 2)^2 = 3^2 = 9

For f = 2

The number of tiles = (n+2)^2 = (2 + 2)^2 = 4^2 = 16

For f = 3

The number of tiles = (n + 2)^2 = (3 + 2)^2 =5^2 = 25

We can be fairly confident in the formula. So what about figure 100

t = (n + 2)^2 = 102^2 = 10404 tiles.

Your next problem is figure out what this will look like.

You are going to have to do a little reading as you draw this on a piece of paper.

Go back to figure 1. There is a square in the middle of the drawing. The square consists of 4 tiles. Draw them on a piece of paper. I can't reproduce them, but it looks like every drawing has a square with (n + 1)^2 tiles in it.

Look at figure 2. There is a square in the middle of the drawing. The figure number plus 1 all squared = the number of tiles in that square. t = (f + 1)^2. You should be able to see 9 squares in that central square.

Three will give you 16 squares in the middle square.

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

Now there are arms coming off the square. Again each arm is related to the figure number.

In figure 1 the arm length is 2 tiles. It suggests 2*f is the number of tiles in both arms together.

Figure 2 has 3 tiles in each arm. That means that the total number of tiles used for 1 arm (f + 1) = (2 + 1) = 3

Figure 3 has 4 tiles in each arm. Total 8.

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

Finally all figures have 1 tile sitting on top of everything else. No more than 1 and no less than 1. Just 1.

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

Now we are ready to talk about figure 100.

The square in the middle was determined to be (f + 1)^2 = 101^2 = 10201

The arms were determined to be t = 2 *( f + 1) = 2 * 101 = . . . . .. . . . . .202

And there is one more square that every figure has . . . . . . . . .<u> . . . . . . ..1</u>

Total . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .10404

Just what we got before. If you need more, leave a note about what you need, in detail.

3 0
3 years ago
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