Complementary angles add up to 90 so
angle + 47 = 90
angle = 90 - 47
angle = 43 so A
Answer:
-2
Step-by-step explanation:
6i-5=-17
6i=-17+5
6i=-12
i=-12/6
i=-2
Answer: a) see image (below)
b) S ∩ M = 237
c) S U M = 598
<u>Step-by-step explanation:</u>
b) Total students = 685
Not sports or music = 87
Sports Total = 385
Music Total = 450
Both Sports and Music is their intersection:
S ∩ M = S + M + N - T
= 385 + 450 + 87 - 685
= 237
c) Sports only = S - (S ∩ M)
= 385 - 237
= 148
Music only = M - (S ∩ M)
= 450 - 237
= 213
Sports OR Music is their union:
S U M = S + M - (S ∩ M)
= 385 + 450 - 237
= 598
Let me set an example to help solve this, say the poster is 100 inches by 90 inches. the length of the poster is reduced by 12% so subtract 12 from 100 to get you new length of 78 inches. the width is increased by 15% so multiply 90 by 15% to get 13.5 inches and add the to the 90 inches you have to get your new width of 103.5 inches. multiply them together to get your new area then divide the new area by the old area, subtract that number by 1 and multiply it by -1.
Answer:
-2
Step-by-step explanation:
all you gotta do is look to see where the line intersects the y axis which is -2 here