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RSB [31]
3 years ago
11

Please I'm GIVING 40 POINTS FOR REAL ANSWER

Mathematics
2 answers:
MakcuM [25]3 years ago
5 0

Answer:

I hope its right...

Step-by-step explanation:

Part A)

A + B + C = 180     and now replace with the algebraic expressions given for each angle:

2(x + 15) + 3 x + 10 + 5 x = 180n     eliminate parenthesis     2 x + 30 + 3 x + 10 + 5 x = 180

Part B)

2 (x+15) + 3x + 10+ 5x = 180        2x + 30 + 3x + 10 +5x = 180           10 +40 = 180

- 40 -40            10x divided by 10 = 140 divided by 10             x= 14

Part C)

A = 2 (x + 15) = 2 (14 + 15) = 2 * 29 = 58 degrees

< B = 3 x + 10 = 3 * 14 + 10 = 52 degrees

< C = 5 x = 5 * 14 = 70 degrees

Charra [1.4K]3 years ago
3 0

Answer:

x = 14

< A = 58 degrees

< B = 52 degrees

< C = 70 degrees

Step-by-step explanation:

Recall that the addition of the three internal angles of a triangle must render 180 degrees, then we can write:

<A + <B + <C = 180

and now replace with the algebraic expressions given for each angle:

2(x + 15) + 3 x + 10 + 5 x = 180

eliminate parenthesis

2 x + 30 + 3 x + 10 + 5 x = 180

combine like terms

10 x + 40 = 180

subtract 40 from both sides

10 x = 140

divide both sides y 10 to isolate x

x = 14

Now that we know x, we can calculate each of the angles using the fiven expressions:

< A = 2 (x + 15) = 2 (14 + 15) = 2 * 29 = 58 degrees

< B = 3 x + 10 = 3 * 14 + 10 = 52 degrees

< C = 5 x = 5 * 14 = 70 degrees

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