<span> Congruent </span><span>figures. Hope that helped. </span>
Answer:
x = 1/25
y = 32/25
Step-by-step explanation:
To convert a mixed number to an improper, first, multiply the denominator of the fraction and the whole number of the fraction. Then, add the numerator to the product of the denominator and the whole number.
For example, 3 1/4. Multiply the 3 and 4 to get 12. Then add the one and you get 13. Lastly, take your sum (13 in this case) and put it over the original denominator (4) Your answer is 13/4. Hope that helps :)
Answer:
Answer d)
,
, and 
Step-by-step explanation:
Notice that there are basically two right angle triangles to examine: a smaller one in size on the right and a larger one on the left, and both share side "b".
So we proceed to find the value of "b" by noticing that it the side "opposite side to angle 60 degrees" in the triangle of the right (the one with hypotenuse = 10). So we can use the sine function to find its value:

where we use the fact that the sine of 60 degrees can be written as: 
We can also find the value of "d" in that same small triangle, using the cosine function of 60 degrees:

In order to find the value of side "a", we use the right angle triangle on the left, noticing that "a" s the hypotenuse of that triangle, and our (now known) side "b" is the opposite to the 30 degree angle. We use here the definition of sine of an angle as the quotient between the opposite side and the hypotenuse:

where we used the value of the sine function of 30 degrees as one half: 
Finally, we can find the value of the fourth unknown: "c", by using the cos of 30 degrees and the now known value of the hypotenuse in that left triangle:

Therefore, our answer agrees with the values shown in option d)