Answer:
see explanation
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the given angles from 180 for B
B = 180° - (90 + 40)° = 180° - 130° = 150°
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sin40° = 
= 
Multiply both sides by 21
21 × sin40° = a, thus
a ≈ 13.5 ( to the nearest tenth )
--------------------------------------------------------------
cos40° = 
= 
Multiply both sides by 21
21 × cos40° = b, thus
b ≈ 16.1 ( to the nearest tenth )
50 the answer is most likely 50
Step-by-step explanation:
step 1. The perimeter (P) is the length around the triangle.
step 2. P = 6 + 5 + L (the length of the hypotenuse)
step 3. L = sqrt(6^2 + 5^2) = sqrt(61) where sqrt is the square root
step 4. P = 11 + sqrt(61) = 18.81.
Answer:
a = 35
c = 85
Step-by-step explanation:
85 + 60 + a = 180 as they are all supplementary angles (together they form an angle of 180°)
therefore a = 35.
a + ( 180 -(a+85)) + c =180 (as the angles of a triangle add up to 180°. our triangle is NMT, the angles are a, c and 180°-(a+85°) for a theorem about lines secant to parallel lines)
therefore c = 85
Answer:
32
Step-by-step explanation:
Plug in 4 for c.
(c³)/2 = (4³)/2
First, solve the parenthesis, then divide. Multiply:
4³ = 4 * 4 * 4 = 16 * 4 = 64
Next, divide:
64/2 = 32
32 is your answer.
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