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I use it now
This is simple to solve as all we need to do is setup a basic equation. An equation that could represent this is
where x is equal to the amount of wire left on the reel.
Using this information, we can see that
there are 1,873 feet of wire left on the reel.
21. <DBE and <ABE are both equal halves of <ABD, so in this case, m<ABE = m<DBE, so all you have to do is solve the equation:
6x + 2 = 8x - 14
add 14 to both sides, subtract 6x from both sides.
16 = 2x
Divide both sides by two. The solution is x = 8. To find m<ABE, replace x with 2, so your final answer is 14. m<ABE = 14
22. From what we know from 21, m<ABE = m<EBD, so keep that in mind. We still have to solve for m<EBD. Since one line is 180 degrees, we are able to write out this equation using the information given:
180 = 9x - 1 (m<ABE) + 9x - 1 (m<EBD) + 24x + 14 (m<DBC)
simplify this:
180 = 12 + 42x
subtract 12 from both sides, then divide by 42.
4 = x
Now we plug this in.
4 × 9 = 36. 36 - 1 = 35.
m<EBD = 35
23. From the past two equations, we know m<ABE consistently equals m<EBD. This means that, if they are bisectors of a right angle, they both equal 45 degrees. here is our equation:
45 = 13x - 7.
we add seven to both sides and divide by 13.
4 = x
Add up the frequencies to find the total frequency and that is your denominator.
5+10+12+10+13=50
Then their frequencies are the numerators.
5/50
10/50
12/50
10/50
13/50
Then times the fractions by two to make the denominator 100 so that you can easily turn these fractions into percentages.
10/100 = 10%
20/100 = 20%
24/100 = 24%
20/100 = 20%
26/100 = 26%
Then just double check that they add up to 100%
