The total number of handshakes = 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 = 36
Answer: 36 handshakes
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
Parentheses first, 72-63 is 9 next multiply by 4 which is 36 the you’ll divide by 3 now you have 12 so multiply that by 6 and you get 72. Just a hint, another way to write that without using the multiply or the divided would be 6[4(72-63)/3] but either way you want is fine. Hope this helped :)
Answer:
x is 3
and
y is 3
Step-by-step explanation:
(2*3)+(3*3) = 15
6+9 = 15