Simplify (15 +6d - (P) + (-5d^2 - 18 + 6d)

answer:

-3 + 12d - 5d^2 -p

Step-by-step explanation:

answer:

-5d2 + 12d - p - 3

Step-by-step explanation:

Step  1  :

Equation at the end of step  1  :

 (6d - p + 15) +  (((0 -  5d2) -  18) +  6d)

Step  2  :

Step  3  :

Pulling out like terms :

3.1     Pull out like factors :

  -5d2 + 12d - p - 3  =

 -1 • (5d2 - 12d + p + 3)

Final result :

 -5d2 + 12d - p - 3

Processing ends successfully

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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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d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.