Answer:
Step-by-step explanation:
The first step is to realize that this is a geometric sequence, where each next term in the sequence is 2.5 times larger than the previous. You can confirm this by the fact that 3=1.2*2.5, 7.5=3*2.5, and 18.75=7.5*2.5. Now, you can write the formula, where n is where the number is in the sequence, and a is the number itself. Since 1.2 is the first term in the sequence and the rate of expansion is 2.5, the formula is:
Hope this helps!
Answer:
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Step-by-step explanation:
Answer:
Step-by-step explanation:
ΔVWX is an isosceles triangle.
∠V ≅∠W = 20
20 + 20 + ∠X = 180
∠X = 180 - 40
∠x = 140
In ΔPQR
∠P + 20 + 80 = 180 {Angle sum property of triangle}
∠P + 100 = 180
∠P = 180 - 100
∠P = 80
In ΔSTV is an isosceles triangle.
∠S ≅ ∠T = 80°
∠V + 80 + 80 = 180
∠V + 160 = 180
∠V = 180 - 160
∠V = 20°
In ΔPRQ & ΔSTV
∠P ≅ ∠S = 80°
∠R ≅ ∠T = 80°
∠Q ≅ ∠v = 20°
ΔPRQ ` ΔSTV are similar by AAA congruent
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