Step-by-step explanation:
Firstly, we have to find m∠J.
Since all the angles of a Δ equal 180°, angles J, L, and K should have a sum of 180°.
So,
m∠J + m∠L + m∠K = 180°
The diagram shows us that ∠L = 49° and ∠K = 90°, so we plug in those numbers in the equation.
m∠J + 49° + 90° = 180°
Then we simplify
m∠J + 139° = 180°
Subtract 139° to both sides
∠J = 41
Now the other angles.
Since ΔJKL ~ ΔRST, then ∠J ≅ ∠R, ∠K ≅ ∠S, and ∠L ≅ ∠T
Meaning, m∠J = m∠R, m∠K = m∠S, and m∠L = m∠T
Since we know m∠J = 41°, m∠K = 90°, and m∠L = 49° we could plug those in so...
41° = m∠R , 90° = m∠S , and 49° = m∠T
Answer:
Step-by-step explanation:
(N)0.05 + (17-N)0.1 = M; M = amount of money I have.
Or 1.7-0.05N = M.
Answer:
- 30 adult tickets,
- 50 kids tickets
Step-by-step explanation:
<u>Given</u>
- Cost of adult ticket = $8.50
- Cost of kids ticket = $7.00
- Number of tickets = 80
- Total cost = $605
Let the adult ticket be a and kids be k
<u>We got equations</u>
- a + k = 80
- 8.5a + 7k = 605
<u>From the first equation we get</u>
<u>Substituting k in the second equation</u>
- 8.5a + 7(80 - a) = 605
- 8.5a - 7a + 560= 605
- 1.5a = 45
- a = 45/1.5
- a = 30
<u>Then finding k</u>
Yes he will
Because math is cool
