If you're given that ΔJKL was dilated by a factor of 3/4 to create ΔWXY.

1.) Which triangle has a bigger area? How do you know? Make sure you justify your answer completely.

2.) If m∠K = 48o, and m∠L = 62o, what is the measure of ∠W?

Part 1) The original triangle ΔJKL has the bigger area

Part 2)

Step-by-step explanation:

Part 1) Which triangle has a bigger area?

we know that

A dilation is a non rigid transformation that produce similar figures

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

In this problem

ΔJKL is similar to ΔWXY

The scale factor is 3/4

3/4 < 1

That means ---->The dilation is a reduction

therefore

The original triangle ΔJKL has the bigger area

Part 2) If m∠K = 48o, and m∠L = 62o, what is the measure of ∠W?

Remember that

If two figures are similar, then its corresponding angles are congruent

so

m∠J≅m∠W

m∠K≅m∠X

m∠L≅m∠Y

Find the measure of angle J

we know that

The sum of the interior angles in any triangle must be equal to 180 degrees

so

substitute the given values

therefore

oof

step-by-step explanation:

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.