Answer:
see explanation
Step-by-step explanation:
(15)
Since BE bisects ∠ ABD then ∠ DBE = ∠ ABE, thus
8x - 14 = 6x + 2 ( subtract 6x from both sides )
2x - 14 = 2 ( add 14 to both sides )
2x = 16 ( divide both sides by 2 )
x = 8
Thus ∠ ABE = 6x + 2 = 6(8) + 2 = 48 + 2 = 50°
(16)
Since BE bisects ∠ ABD then ∠ ABE = ∠ DBE = 12n - 8 and
∠ ABD = ∠ ABE + ∠ DBE, that is
22n - 11 = 12n - 8 + 12n - 8 = 24n - 16 ( subtract 24n from both sides )
- 2n - 11 = - 16 ( add 11 to both sides )
- 2n = - 5 ( divide both sides by - 2 )
n = 2.5
Thus
∠ EBD = 12n - 8 = 12(2.5) - 8 = 30 - 8 = 22°
Answer:
0.2% of the people had mid allergic reaction.
Step-by-step explanation:
Given that:
Number of people tested for a new shampoo = 9000
Number of people who had allergic reaction = 18
Percent of people = 
Percent of people = 
Percent of people = 0.002 * 100
Percent of people = 0.2%
Hence,
0.2% of the people had mid allergic reaction.
-22.7, -3.516, 3.28, 43.9, 126
Answer:
3 1/3
Step-by-step explanation:
<u>Step 1</u> is to look at the problem.
Here, you notice that the first two numbers have fractions that are quarters. The total of those two fractions is 1/4 + 3/4 = 4/4 = 1.
So, the sum of the first two numbers is ...
1 1/4 + 3/4 = 1 +(1/4 +3/4) = 1 +1 = 2
<u>Step 2</u> is to add the next mixed number, which has a fraction with a different denominator. Since you have no fractions to add at this point, the sum is just ...
2 + 1 1/3 = 3 1/3
_____
<em>Comment on adding fractions</em>
Generally, adding fractions requires you determine a common denominator. Often, you are asked to find the <em>least</em> common denominator, but that isn't necessary. Sometimes that can save the work of reducing the fraction that results, but sometimes it makes more work.
Here, a common denominator for fourths and thirds would be twelfths:
1/4 = 3/12
1/3 = 4/12
However, since adding the fourths results in an integer, no common denominator is necessary.
Answer:
Tamē kēvī rītē mitra vinantī ahīṁ mōkalī śakō chō
