Answer:
ST is longest
Step-by-step explanation:
- <em>Theorem: </em>
- <em>If one side of a triangle is longer than another side, then the angle opposite the longer side will be larger than the angle opposite the shorter side</em>
The values of the angles are:
- ∠S= 50°,
- ∠T= 60°,
- ∠R= 180°- (50°+60°)= 180° - 110° = 70°
Since ∠R is the largest angle, the side ST is longest
Answer:
Step-by-step explanation:
we are given that 1 angle equals 27 and the other two are equal.
180-27=153. and the other two are equal so they each equal 76.5 (153 divided by 2) now since one of the angles is supplementary with angle x, they together must equal 180 so: 180-76.5=x, x=103.5
You would be earning $15 more dollars using the first account, since the product of 2000×0.045= 90. where as the product of 2000×0.0375=75 due to the decrease in interest rate.
Answer:
C. x = 3, y = -6
Step-by-step explanation:
You can divide the second equation by 2. Then you have ...
x +2y = -9
This gives you a couple of choices for solution. The x-coefficients match, so subtracting one equation from the other eliminates x:
(x +2y) -(x -2y) = (-9) -(15)
4y = -24 ⇒ y = -6
Adding the two equations eliminates y:
(x -2y) +(x +2y) = (15) +(-9)
2x = 6 ⇒ x = 3
The solution is (x, y) = (3, -6).
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<em>Additional comment</em>
I find it quick and easy to use a graphing calculator to find the solution. Many graphing calculators also make it simple to solve systems of equations in matrix form. Either way, you can obtain a solution in little more than the time it takes to enter the equations (or their coefficients).