Answer: The side lengths of mirror and painting are 7 ft and 9 ft respectively.
Step-by-step explanation: Given that a square mirror has sides measuring 2 ft less than the sides of a square painting and the difference between their areas is 32 ft.
We are to find the lengths of the sides of the mirror and the painting.
Let x ft represents the length of the side of mirror. Then, the side length of square painting is (x+2) ft.
According to the given information, we have
Therefore, the side length of mirror is 7 ft and the side length of painting is (7+2) = 9 ft.
Thus, the side lengths of mirror and painting are 7 ft and 9 ft respectively.
I hope this helps you
complimentary angles sum 180 degree
2a+?=180
?=180-2a
9+3t is your answer.......
No
Step-by-step explanation:
they could be but it doesnt say where the angle is so there isn't enough information to tell if they are congruent. answer is no
Answer:
which agrees with option"B" of the possible answers listed
Step-by-step explanation:
Notice that in order to solve this problem (find angle JLF) , we need to find the value of the angle defined by JLG and subtract it from 
, since they are supplementary angles. So we focus on such, and start by drawing the radii that connects the center of the circle (point "O") to points G and H, in order to observe the central angles that are given to us as 
and 
. (see attached image)
We put our efforts into solving the right angle triangle denoted with green borders.
Notice as well, that the triangle JOH that is formed with the two radii and the segment that joins point J to point G, is an isosceles triangle, and therefore the two angles opposite to these equal radius sides, must be equal. We see that angle JOH can be calculated by : 
Therefore, the two equal acute angles in the triangle JOH should add to:
resulting then in each small acute angle of measure 
.
Now referring to the green sided right angle triangle we can find find angle JLG, using: 
Finally, the requested measure of angle JLF is obtained via: 
