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fomenos
3 years ago
7

A similarity transformation maps ∆ABC to ∆JKL. The measure of ∠A of preimage ∆ABC is 105°. The scale factor of the dilation in t

he similarity transformation is 1.5. If ∠A in the preimage corresponds to ∠J in the image, what is m∠J? A. 70° B. 140° C. 105° D. 35°
Mathematics
2 answers:
dem82 [27]3 years ago
6 0

Answer:

The answer would be option C. 105

Step-by-step explanation:

sveticcg [70]3 years ago
5 0

Answer:

Option C. m

Step-by-step explanation:

we know that

If two figures are similar, then the ratios of its corresponding sides is equal and its corresponding angles are congruent

so

m<A=m<J

m<B=m<K

m<C=m<L

therefore

The measure of angle J is the same that the measure of angle A

m

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11111nata11111 [884]

we know that

Step 1

Find the value of x

m∠PSR=99°

m∠PSR=(3x+18)+(9x-27)°

so

99 =(3x+18)+(9x-27) \\ 99=12x-9\\ 12x=108\\ x=9degrees

Step 2

Find the value of m∠PSQ

m∠PSQ=(3x+18)

m∠PSQ=(3*9+18)

m∠PSQ=45°

therefore

the answer is the option

C) 45 degrees

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