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Usimov [2.4K]
2 years ago
14

Only answer if yk how to do this

Mathematics
2 answers:
malfutka [58]2 years ago
7 0

Answer:

x = 25

scalene, acute

Step-by-step explanation:

Sum of the interior angles of a triangle = 180°

\implies (2x+11)+(3x-7)+(2x+1)=180

\implies 2x+11+3x-7+2x+1=180

Collect like terms:

\implies 2x+3x+2x+1+11-7=180

Combine like terms:

\implies 7x+5=180

Subtract 5 from both sides:

\implies 7x=175

Divide both sides  by 7:

\implies x=25

Substituting found value of x into the three angle expressions:

∠A = (2 x 25) + 11 = 61°

∠B = (3 x 25) - 7 = 68°

∠C = (2 x 25) + 1 = 51°

This is a scalene triangle as it has three different angles and three different side lengths (non-congruent).

It is also an acute triangle as all interior angles are less than 90°

Fofino [41]2 years ago
5 0
X=25 because a triangle is 180° so 2x+11+3x-7+2x+1=180
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