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mash [69]
3 years ago
8

I can’t understand 21-23 can someone solve or explain them please (geometry)

Mathematics
1 answer:
k0ka [10]3 years ago
3 0
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
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7 0
3 years ago
 PLEASE HELP ASAP
olganol [36]
From the figure, the vertices of the given triangle are
(-3,4), (1,3) and (5,5).

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5 0
3 years ago
If x = -12, y = -3; find xy?<br><br>​
wolverine [178]

<u>Given </u><u>that</u><u> </u><u>:</u><u>-</u><u> </u>

  • x = -12
  • y = -3

<u>To</u><u> </u><u>Find</u><u> </u><u>:</u><u>-</u><u> </u>

  • Value of xy

<u>S</u><u>o</u><u>l</u><u>u</u><u>t</u><u>i</u><u>o</u><u>n</u><u> </u><u>:</u><u>-</u><u> </u>

<u>☆</u><u> </u>When a negative digit is multiplied with negative digit then the result comes as positive digit .

→ x × y = (-12)(-3)

→ x.y = 36

So the answer is 36.

3 0
3 years ago
Read 2 more answers
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