The angles in a triangle are represented by 5x, 8x, and 2x+9. What is the value of x?
1 answer:
Answer:
x = 11.4
Step-by-step explanation:
The sum of the angles of any triangle must add up to 180°. Since we have the expressions for each angle: 5x, 8x, and (2x +9), we can solve for the variable of 'x' by adding the expressions together and setting them equal to 180:
5x + 8x + (2x +9) = 180
Combine like terms: 15x + 9 = 180
Use inverse operations: 15x + 9 - 9 = 180 - 9
15x = 171 or x = 11.4
Check: 5(11.4) + 8(11.4) + 2(11.4) + 9 = 57 + 91.2 + 22.8 + 9 = 180
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Answer:
x>4
Step-by-step explanation:
2x>4(3x-5)-20
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Answer: hypotenuse (h)=?
perpendicular (p)=3
base(b)=2
using pythagoras theorem
h²=p²+b²
h²=3²+2²
h²=9+4
h²=13
h=√13
hypotenuse (h)=12 perpendicular (p)=10 base(b)=?
using pythagoras theorem
b²=h²-p²
b²=12²-10²
b²=144-100
b=√44
b=2√11
