Is △UNS ~ △AYR? Give a correct explanation. The first image is of a triangle USN. The measure of angle USN is 25 degrees and that of angle UNS is 35 degrees. The second image is of a similar bigger triangle RAY with YA as base. The measure of angle RAY is 110 degrees and that angle RYA as 35 degrees respectively.

it is x=-4

step-by-step explanation:

hello!

to begin with, we're given that on earth, a rock weighs 20 pounds, and while on jupiter, that same rock weighs 42 pounds. now, we're trying to find the weight of a rock that weighs 10.5 pounds on earth, on jupiter.

to solve this, first, set up a proportion, cross-multiply, and solve it algebraically.

setting up the proportion is the hardest and the most confusing part of the problem, but it's simple.

if on earth, the rock weighs 20 lbs, and on jupiter it weighs 42 lbs, our first part of our proportion is 20/42 lbs. the second part has to be equal to each other. this means that 10.5 has to be on the numerator of the fraction, and x, the value we're trying to find, has to be on the denominator. remember that the rock weighs 10.5 lbs on earth, and we're trying to find the weight of it on jupiter (which is x).

20/42 = 10.5/x

next, you would cross-multiply.

20x = 42(10.5)

20x = 441

now, solve it algebraically by using division.

x = 22.05 lbs

this can be rounded to 22.1 lbs.

therefore, the weight of the rock on jupiter is 22.1 lbs, the fourth choice.

the coordinates of a' are (-5, 10)

what i did is i   turned 2 1/2 into an improper fraction which is 5/2. then i multiplied this (the scale factor) by the coordinates of a which is (-2,4).

hope this : )

the correct answer option is b. 0.65.

step-by-step explanation:

we are given that , and .

we are to find the value of .

for this, we will be using the following formula:

substituting the given values in the above formula to get:

p (a or b) = = 0.65