Determine whether each pair of figures is similar. If so, write the similarity statement and scale factor. If not, explain why. Number 1 and 2 on the second part.

9514 1404 393

Answer:

Step-by-step explanation:

We can write the similarity statements by naming vertices in order of increasing numbers of arcs, starting with the one having a single arc. Then we can express the side lengths as a reduced ratio, in the same order.

1. JKLM ~ QRSP

  JK : KL : LM : MJ = 20 : 15 : 24 : 25

  QR : RS : SP : PQ = 12 : 9 : 14.4 : 15 = 20 : 15 : 24 : 25 (same ratios)

The scale factor is 12/20 = 0.6.

__

2. ΔABC ~ ΔUVT

  AB : BC : CA = 16 : 14 : 12 = 8 : 7 : 6

  UV : VT : TU = 24 : 21 : 18 = 8 : 7 : 6 (same ratios)

The scale factor is 24/16 = 1.5.

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Use continuity to evaluate the limit.
lim 16+radical x/ radical 16+x
1+9
Consider the intervals for which the numerator and the denominator are continuous.
The numerator 16+ radical x is contintuous on the interval
[0,00)
0
The denominator V16 + I is continuous and nonzero on the interval
(16,00)
X
The interval for which the quotient is continuous is the intersection of the above intervals.
16+
Therefore, the quotient
is continuous on the interval
716 +1
[-16,0]
X
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9 is in the interval (0, 0), then fis continuous at x = 9. Therefore,
19
16 + VE
lim
179 16 +2
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00
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