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nevsk [136]
2 years ago
9

The measures of three angles of a triangle are given by (8x - 5), (2x)º, and (3x – 10). What is the measure of the largest angle

? A 15° B 115° C. 35° D 150°​
Mathematics
1 answer:
zhannawk [14.2K]2 years ago
3 0

Answer: 115°

Step-by-step explanation:

We should note that the sum of the angles that are in a triangle is equal to 180°, therefore we will add the angles given and equate them to 180°. This will be:

(8x - 5) + (2x) + (3x - 10) = 180

8x - 5 + 2x + 3x - 10 = 180

Collect like terms

8x + 2x + 3x = 180 + 5 + 10

13x = 195

x = 195/13

x = 15

The angles are:

8x - 5 = 8(15) - 5 = 120 - 5 = 115°

2x = 2(15) = 30°

3x - 10 = 3(15) - 10 = 45 - 10 = 35°

Therefore, the largest angle is 115°

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What is the perimeter of the triangle?<br>​
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Step-by-step explanation:

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Read 2 more answers
A) Write the following in standard form and find A, B and C
alex41 [277]

Answer:

  • a)  2x -y = -5; A=2, B=-1, C=-5
  • b)  y = 2x +5

Step-by-step explanation:

a) Standard Form is ...

  Ax + By = C

where A > 0 and A, B, C are mutually prime.

To get that form, we can add 2x-5 to both sides of the equation:

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Then we can swap sides of the equal sign:

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Matching this to the generic standard form equation, we find ...

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  B = -1

  C = -5

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b) We can solve for y by adding 2x+y to both sides of the equation:

  (2x +y) -2x = (2x +y) -y +5

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