First you set up an equation using a variable:
x + 5x = 90° (complementary angles = 90°)
6x = 90
x = 15 (also the measure of the smaller angle)
now plug in x to find the larger angle:
5(15) = 75°
we know that given terms were i geometric progression.
which means common ratio is same between two consecutive terms .
here we have 8,40,200,1000.
we know that common ratio =second term/first term =40/8=5.
so each and every terms is multiplied by 5 to get next term for this series the term after 1000 is 5000 =1000*5.
in part b we have another series which is having common ratio of -2.
so we need to multiply with -2 to find next term.
80*(-2)=-160.
for part c the common ratio is -2 .
so we need to multiply with -2 *previous term =-2*16 =-32.
we know that
the car gets 18 miles per -----------> 1 gallon of gasoline
so
for 543 miles ---------------------> x gallons of gasoline
by proportion
543/18=x/1---------->x=543/18------->x=30.17 gallons
therefore
the answer is
30.17 gallons
Answer:50(b)
Step-by-step explanation:
I just took the test
