Answer:
m∠C = 60°
Step-by-step explanation:
we know that sum of angles of a traingle is 18 degrees.
given
m∠A = 60°+α,
m∠B = 60°−α
we have to find m∠C
m∠A + m∠B + m∠C = 180
60°+α + 60° - α +m∠C = 180
+α and -α gets cancelled
120°+m∠C = 180
=> m∠C = 180° - 120° = 60°
Thus, measure of angle c is 60°.
Answer:
41.23
Step-by-step explanation:
Mean = (23 + 50 + 49 + 48 + 49 + 32 + 37 + 40 + 41 + 42 + 41 + 41 + 43) ÷ 13
Mean = 536 ÷ 13 = 41.23 (rounded up to two decimal places)
Lets say x is the smaller number and y is the bigger number.
x + y = 436
x + 134 = y
We can substitute the second equation into the first (substitute x + 134 in for y)
x + (x+134) = 436
2x + 134 = 436
2x = 302
x = 151
We can now plug this back into either formula (i use the second)
151 + 134 = b
b = 285
The 2 numbers are 151 and 285
Cotangent of angle A=base/height=24/10=12/5
cotangent of B=10/24=5/12
