The first option is a better choice heres why...
option 1) is $120
option 2) is $155
option 3 is $130
option 4) is 135
SO all and all the first payment method is the cheapest option.
None. The triangle inequality states that the sum of the smaller two sides of a triangle must be greater than the third side. As 4+5=9, this inequality is false in this case, so these sides cannot create a triangle.
You remember from SOH CAH TOA that
.. Cos = Adjacent/Hypotenuse
.. cos(C) = 80/82 = 40/41 . . . . . . . . . . . seems to match the last selection
We need to make them all equivalent, so when all denominators are equal, we can see. 1/2 is 50/100, 3/5 is 60/100, and 99/100 stays the same.
The biggest is 99/100.
We know: The sum of the measures of the angles of a triangle is equal 180°.
We have: m∠A =65°, m∠B = (3x - 10)° and m∠C = (2x)°.
The equation:
65 + (3x - 10) + 2x = 180
(3x + 2x) + (65 - 10) = 180
5x + 55 = 180 <em>subtract 55 from both sides</em>
5x = 125 <em>divide both sides by 5</em>
x = 25
m∠B = (3x - 10)° → m∠B = (3 · 25 - 10)° = (75 - 10)° = 65°
m∠C = (2x)° → m∠C = (2 · 25)° = 50°
<h3>Answer: x = 25, m∠B = 65°, m∠C = 50°</h3>
