Answer:
x = 32
y = 51
m∠N = 14°
Step-by-step explanation:
Given:
ΔMNP ≅ ΔTUS
By the property of similarity,
MN ≅ TU, NP ≅ US and MP ≅ TS
m∠M = m∠T = 142°,
m∠N = m∠U = (2x - 50)°
m∠P = m∠S = 24°
Since, m∠N = [180°- (m∠M + m∠P)]
(2x - 50) = 180 - (142 + 24)
2x - 50 = 14
2x = 64 ⇒ x = 32
Since, NP = US,
2x - y = 13
2(32) - y = 13
64 - y = 13
y = 51
m∠N = 180° - (142 + 24)°
= 14°
Answer:
1 button.
Step-by-step explanation:
Total buttons = 40
Total red buttons = 6
Total Buttons removed =25
Buttons left = 40–25 = 15
Let the red buttons left = x
1.)Then, the probability of red buttons after removing 25 buttons = x/15 outcome / Total outcome)
2.)Probability of red buttons in the bag after removing 25 buttons is 1/3 (As given in the question)
Comparing Statement 1.) & 2.) , We get
x/15 = 1/3
x = 5
So the red buttons left = 5
Total red buttons= 6
Red buttons removed = 6–5= 1
Hence, only 1 button was red in the 25 removed buttons
