What is the value of x + y + z when 6x + 5y - 2z = -4 and 4x + 5y + 12z = 54?

5

Step-by-step explanation:

First you would need to add the two equations.

6x + 5y - 2z = -4 + 4x + 5y + 12z = 54

Doing this, you would get:

10x+10y+10z=50

Then, divide all parts of the equation by 10 to isolate the variables.

So,

10x+10y+10z=50/10 =

x+y+z = 5

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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