Answer:
∠ E = 56°
Step-by-step explanation:
the external angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ MGF is an exterior angle of the triangle , then
10x + 12 = 5x - 4 + 76
10x + 12 = 5x + 72 ( subtract 5x from both sides )
5x + 12 = 72 ( subtract 12 from both sides )
5x = 60 ( divide both sides by 5 )
x = 12
Then
∠ E = 5x - 4 = 5(12) - 4 = 60 - 4 = 56°
Answer:
Exact form: 25/12 decimal: 2.083 mixed form: 2 1/12
Step-by-step explanation:
I believe it's B because we don't know how big the jar is and it's asking for. a statistical question.
Answer:
369
Step-by-step explanation:
g(f(x)) simply means to put the whole expression of function f(x) into the place of "x" in g(x).
and to find the functional value for a specific x we just need to calculate functional value for f(x) and use that result as input for g(x).
f(6) = 8×6 + 5 = 48 + 5 = 53
and now
g(53) = 7×53 - 2 = 371 - 2 = 369
to check we do the general functional substitution :
g(f(x)) = 7×(8x+5) - 2 = 56x + 35 - 2 = 56x + 33
g(f(6)) = 56×6 + 33 = 336 + 33 = 369
correct
