One number is 8 more than 1/2 of another number. the sum of the numbers is 23. what are the numbers?

10 and 13

Step-by-step explanation:

Let the two numbers be p and q.  p = (1/2)q + 8.  p + q = 23.  Substituting (1/2)q + 8 for p, we get (1/2)q + 8 + q = 23.

First, subtract 8 from both sides, obtaining (1/2)q + q = 15.

Next, mult. all terms by 2 to eliminate the fraction (1/2):  q + 2q = 30.

Then 3q = 30, and q = 10.  Then p = (1/2)(10) + 8 = 5 + 8 = 13.

The numbers are 10 and 13.

we know that

applying the law of sines

°

so

∠j=18°

∠k=29°

∠l=180-(18+29)=133°

the answer part a) is

the measure of angle k is  ≈29°

part b)  the measure of angle k could also be

(180-29)=151°

so

∠j=18°

∠k=151°

∠l=180-(18+151)=11°

the answer part b) is

the measure of angle k could also be 151°

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