Answer:
The measure of angle T is 135 degrees.
Step-by-step explanation:
Let's just say the measure of angles T and S are variables t and s.
So the equation would be...
t + s = 180
Since they are supplementary angles, they add up to 180.
Also, we know that t is 3 times s.
t = 3s
Now we can solve this system of equations.
Substitute 3s into t of the first equation.
3s + s = 180
4s = 180
s = 45
Then, since we know that the measure of angle t is 3 times the measure of angle s, we can just multiply 45 by 3 and find the measure of angle t.
45 * 3 = 135
t = 135
So the measure of angle t is 135.
*<em>Just copied from my previous answer, don't know why you needed it again but here you go.</em>
Answer:
2/0 or infinity
Step-by-step explanation:
Angles RZT, RZS, and TZS form triangle RZT, so they sum to 180. Thus, we have:
110+3s+8s=180
Simplifying, we have:
11s=70
Dividing by 11, we see that:
s=70/11
Therefore, RZS=3s=210/11, and TZS=8s=560/11.
If I=P*r*t, we can input 450 in for I, 3000 in for the principal (P, or the starting rate), and 3 for t=time because there were three years, resulting in 450=9000*r. Next, we can divide both sides by 9000 to get 0.05 or 5% as our answer.