Answer:
x = 3
Step-by-step explanation:
Angle S and Angle T are consecutive interior angles. Therefore, we know that T + S = 180°.
First, we need to solve for T, and since angles S and T are consecutive interior angles, we know that T + S = 180°. If we reorganize the equation to include the things we know (S = 105°), then we get 180° - 105° = 75°. So T is 75°.
Now, we use T = 75° and the information given to us in the picture to set up an equation. 75 = 24x + 3. Now, we can find x by isolating it. Do this by:
1) Subtracting 3 from both sides to give you 72 = 24x. We do this to get rid of the 3 from the "x side", but we must also do it to the other to keep the equation true. This moves the 3 from the "x side" to the other since we're trying to isolate x.
2) Divide 24 by both sides to get 3 = x. We use the same logic as we did for 3, except this time we divide since that's the opposite of multiplying.
In conclusion, x = 3.
Answer:
About 3891 people saw that movie.
Step-by-step explanation:
Day 1: 985 people
Day 2: (985*8)/10 (20% gone) = 788
Day 3: (788*8)/10 (20% gone) = 630.4
Day 4: (630.4*8)/10 (20% gone) = 504.32
Day 5: (504.32*8)/10 (20% gone) = 403.456
Day 6: (403.456*8)/10 (20% gone) = 322.7648
Day 7: (322.7648*8)/10 (20% gone) = 258.21184
Adding this up:
985+788+630.4+504.32+403.456+322.7648+258.21184=
985+788+630+504+403+323+258=3891
The answer is B. Carlos worked two hours and earned $20