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Fofino [41]
3 years ago
14

In the diagram below of regular pentagon ABCDE, EB is drawn. What is the measure of AEB?

Mathematics
1 answer:
Drupady [299]3 years ago
6 0

Answer:

36°

Step-by-step explanation:

< EAB = 180 - (360/5) = 180-72=108°

so, < AEB = (180-108)/2 = 72/2 = 36°

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Find 4/5 of 6/9 in simplest form
vova2212 [387]

9514 1404 393

Answer:

  8/15

Step-by-step explanation:

In this context, "of" means "times." The product is ...

  \dfrac{4}{5}\times\dfrac{6}{9}=\dfrac{4\cdot6}{5\cdot9}=\dfrac{3\cdot8}{3\cdot15}=\boxed{\dfrac{8}{15}}

5 0
3 years ago
Can someone help me understand this and show work
ELEN [110]

So first off, the most important thing in Geometry is to know the relationship between angles and lines. A vertical line is 180 degrees, a line bisecting something means that whatever is bisected is equal to the other side, vertical angles are equal to each other, etc. Once you understand these it will be a breeze. Make sure you always write down the numbers you find out on the problem in its place so you can keep on track and visualize it better!

8) The 2 angles represented by the equations are being bisected by a vertical line. So that means they are equal to each other and we can solve by putting that into an equation. 5x-46=2x+5, 3x-46=5, 3x=51, x=17. Now just plug in 17 for x. 5(17)-46, 85-46=39. <PQR=39

9) A linear pair is just 2 angles that make a 180 degree angle so, 1, 4, & 5

10) A vertical angle is an angle that is equal and opposite to the other. In this case the only clear one is 1 & 4 (Answer) but angles 2 and 3, when added, would equal angle 5.

11) Supplementary means it equals 180 degrees so the same as #9. 1 & 5, 4 & 5

12) Set 3x+20 and y-20 have different variables, it is easier to use x and 3x+20.Both of these angles form a linear pair, which means they equal 180 so set both of them equal to it. 3x+20+x=180. Combine like terms. 4x+20=180, 4x=160, x=40. Now plug in 40 for x. Since one angle is just x and x=40, subtract that from 180 to find the other angle. We now know y-20=140 so we can simply work out the equation. y-20=140, y=160. Our final answer is x=40 and y=160.

13) (sorry its too blurry I can't risk it but i'm sure you get it now) Just set the angles equal to each other to find the first angle and subtract the angle from 180 to get the other angle.

14) Line AOC equals 180 so that means if <AOB =90 then <BOC equals 90. Line BOE is also a supplementary angle meaning if we add up all the numbers we now know on the line (90,75) they would equal 165. 180-165= 15 meaning <COD=15 degrees. Since <COD is 15 and <DOE is 75 we can add those up and subtract it from 180 (then add 75 again) to find <AOD. 75+15=90 (right angles are 90). 90+75=165, so <AOD=165 degrees.

I hope I didn't get anything wrong I was in a bit of a rush. Just remember the rules and the relationships and you'll do great!


7 0
3 years ago
Cell phones can weigh as little as 56 grams. How many kilograms can the cell phone weigh
Svet_ta [14]

Answer:

0.056

Step-by-step explanation:

4 0
3 years ago
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The equation of a line is y-4=3(x+2),which of the following is a point on the line?
Greeley [361]
After you re-arrange the equation, you'll find out that you got y=3x+6....okay, this equation is a linear equation, you can use y=mx+b {where m=3, and b=6}. then to find the co-ordinate of (x,y) which is the point, substitute 1,2,3,4.... for x in 'y=3x+6' to figure out the co-ordinate of y.

answer: (1,14), (2,16), (3,19), (4,22)
8 0
3 years ago
Pls help me with this i attached a photo of the question thanks!!
skad [1K]

Answer:

-232

Step-by-step explanation:

the salt flats have an elevation of 50 feet greater than -282, so add 50 to -282 and you get -232

5 0
3 years ago
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