Answer:
20
Step-by-step explanation:
one way is guess and check method, you draw a table and try out 3 different consecutive even numbers to see which 3 add up to 66
11. 6 + 5 * 2 + (-3)
6 + 10 - 3
16 - 3
13 <==
12. 67 + 84 - 12 * 4 / 16
67 + 84 - 48/16
67 + 84 - 3
148 <==
13. -5 * -6 - 25/5 - 2
30 - 5 - 2
23 <==
14. 18 - (9 + 3) + 2^3
18 - 12 + 8
14 <==
15. -24 / -6 * 2
4 * 2
8 <==
16. 8 [ (26 + 10) - 4(3 + 2)]
8 [ (36 - 4(5)]
8 [ 36 - 20 ]
8 [ 16 ]
128 <==
17. 6 * 3 / 9 * 2 + 1
18/9 * 2 + 1
2 * 2 + 1
4 + 1
5 <==
18. (9 - -4)(-8 - -7)
(9 + 4)(-8 + 7)
13 * -1
-13 <==
The measure of <ABD, <DBC and <ABC are 67, 67 and 134 degrees respectively.
<h3>Bisection of angles</h3>
Angles are bisected if they are divided into two equal parts.
If the angle BC bisects <ABC, hence <ABD and <DBC are equal, hence;
2(11x + 23) = <ABC
Given the following parameters
<ABC = 25x + 34
2(11x + 23) = 25x + 34
Expand
22x +46 = 25x + 34
22x-25x = 34 - 46
-3x = -12
x = 4
Determine the measure of the angles
<ABD = 11x + 23 = <DBC
<ABD = 11(4) + 23
<ABD = 44 + 23
<ABD = 67 degrees
<ABC = 2(67)
<ABC = 134 degrees
Hence the measure of <ABD, <DBC and <ABC are 67, 67 and 134 degrees respectively.
Learn more on bisection of angles here: brainly.com/question/25770607
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It has 5 roots. You can determine this by the degree of the polynomial
Answer:
The student made the first mistake in step 2.
Step-by-step explanation: