In all right triangles, the ratio between a leg and the hypothenuse is the sine of the angle opposite to the leg.
So, in your case, we have

In order to find XY, we have

So, the ratio for the sine is

Answer:
x = 106°
Step-by-step explanation:
You must understand the picture to answer the question correctly.
The angle to the right has measure 68°.
The angle to the left has measure x, an unknown number.
Notice that 174° is written in gray, not black, and notice that the curve is also in gray. That means the entire angle made up of 68° and x measures 174°.
x + 68° = 174°
Subtract 68° from both sides.
x = 106°
Answer:
B) shift 3 units left and 4 units down
Answer:
H and b
Step-by-step explanation:
Answer:
Hence the probability that she paid cash is 0.105
Step-by-step explanation:
P(cash) = 0.3
P(credit card ) = 0.3
P(debit card ) = 0.4
P ( more than $50 | cash ) = 0.2
P (more than $50 | credit card ) =0.9
P (more than $ 50 |debit card ) = 0.6
P ( more than $50) = P ( more than $50 | cash )* P (cash) + P (more than $50 credit card ) * P(credit card ) + P (more than $ 50 |debit card )* P(debit card )
= 0.2 * 0.3 + 0.9 * 0.3 + 0.6* 0.4
= 0.57
P ( more than $50) = P ( more than $50 | cash )* P (cash) / P ( more than $50)
= 0.2* 0.3 / 0.57
= 0.105