#1
m∠A=180 - 115 - 24 = 41°
By the law of sines:
b/sinB = a/sinA ⇒
b = (a*sinB)/sinA = (21*sin24°)/sin41° = (21*0.4067)/0.656 ≈ 13
c/sinC = a/sinA ⇒
c = (a*sinC)/sinA = (21*sin115°)/sin41° = (21*0.9063)/0.656 ≈ 29
#2
m∠C=180 - 119 - 27 = 34°
By the law of sines:
b/sinB = a/sinA ⇒
b = (a*sinB)/sinA = (13*sin119°)/sin27° = (13*0.8746)/0.454 ≈ 25
c/sinC = a/sinA ⇒
c = (a*sinC)/sinA = (13*sin34°)/sin27° = (13*0.5592)/0.454 ≈ 16
#3
m∠C=180 - 57 - 37 = 86°
By the law of sines:
c/sinC = a/sinA ⇒
c = (a*sinC)/sinA = (11*sin86°)/sin57° = (11*0.9976)/0.8387 ≈ 13.1
the equation of a line in point-slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
here m = - 2 and (a, b) = (2, 6), hence
y - 6 = - 2(x - 2) ← equation in point-slope form
Answer:
20 <u>6</u> 12 38
<u>5</u> <u>20</u> 7 <u>32</u>
25 <u>26</u> <u>19</u> 70
If you were to round it, a possible answer could be 9,997
