Answer:
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E) 84</h2><h2 />
Step-by-step explanation:
side AB is congruent to side AX
this means that the angle ∠A = 4x is the same angle as ∠Z
therefore ∠A = ∠Z = 4x
inside angle of a triangle = 180
∠A + ∠B + ∠Z = 180
4x + 7x + 4x = 180
15x = 180
x = 180/15
x = 12
now substitute x = 12 into angle B
∠B = 7x
∠B = 7 (12)
∠B = 84
therefore, the answer is E) 84
Answer:
Period = 8π
Phase shift = 2π/3
Amplitude = 1/2
Vertical shift = 2
Step-by-step explanation:
y = A sin((2π/T)θ − B) + C
where A is the amplitude,
T is the period,
B is the phase shift,
and C is the vertical shift.
y = ½ sin(¼θ − 2π/3) + 2
So A = 1/2, T = 8π, B = 2π/3, and C = 2.
Answer:
1) 720/18 = 40 miles/gallon
2) 70 mins ÷ 5 = 14 mins/mile
3) 7½ ÷ 6 = 1¼ cups/dozen
4) 3/4 ÷ 6 = ⅛ cup for 1 person
5) 460.8 ÷ 25.6 = $18/hour
6) 8⅔ ÷ 6
26/3 ÷ 6 = 26/18 = 13/9
= 1 4/9 ounces/glass
7) (25-40)/8 = -1⅞
As the age of the car increases by
1 unit, it's value decreases by $1⅞
8) (24-15)/(8-5) = 3 oranges/apple
For each apple, 3 oranges are
needed