Please help would really appreciate it

Mathematics

1 answer:

laiz [17]3 years ago

6 0

The given data is angle ∡RSU and angle ∡UST are complementary and

angle ∡RSU= 8k-1 and angle ∡UST = 7 (k-2)

The sum of the complementary angles is 90°

∡RSU + ∡UST = 90° => 8k-1 + 7 (k-2) = 90 => 8k-1+7k-14=90 => 15k - 15 = 90 => 15k = 90+15 => 15k = 107 => k= 105/15 = 7° then

∡RSU= 8k-1= 8*7-1= 55°

∡UST= 7 (k-2)= 7 (7-2)= 7*5= 35°

The correct answer is ∡RSU= 55° and ∡UST= 35°

Good luck!!!

You might be interested in

BRAINLIEST ASAP! PLEASE HELP ME :)

harkovskaia [24]

Answer:

○ $\displaystyle -\frac{2\sqrt{3}}{3}\:[or\:-\frac{2}{\sqrt{3}}]$

Step-by-step explanation:

You have to know the Unit Circle on this one. So, to start off, in the degree-angle range from 180° - 270° [Quadrant III], you must figure out the cosine value that gives you −½, and according to the graph, theta will be represented as 240°. So, now that we have our θ, looking at the y-value 240°, since we want the cosecant function, all we have to do is take the multiplicative inverse of $\displaystyle -\frac{\sqrt{3}}{2},$ which gives you $\displaystyle -\frac{2\sqrt{3}}{3}.$