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<span>Let x=0.8888...
x=0.8888 Start with the given equation
10x=8.8888 Multiply both sides by 10. The goal is to move the decimal point to the next repeating portion (which is just one spot to the right)
Now subtract the equation x=0.8888 from 10x=8.8888 to get
10x-x=8.8888-0.8888
9x=8 Combine like terms. Notice how the decimal portions cancel out.
x=8/9 Divide both sides by 9 to isolate x
So the answer is x=8/9 which means that 8/9=0.8888 (where the 8's repeat)</span>
40 + 2x - 30 + x + 20 = 180
3x + 30 = 180
3x = 150
x = 50
m<B = 2x - 30
m<B = 2(50) - 30
m<B = 100 - 30
m<B = 70
The true statement about the triangle is (a) b^2 + c^2 > a^2
<h3>How to determine the true inequality?</h3>
The sides are given as:
a, b and c
The angle opposite of side length a is an acute angle
The above means that:
The side a is the longest side of the triangle.
The Pythagoras theorem states that:
a^2 = b^2 + c^2
Since the triangle is not a right triangle, and the angle opposite a is acute.
Then it means that the square of a is less than the sum of squares of other sides.
This gives
a^2 < b^2 + c^2
Rewrite as:
b^2 + c^2 > a^2
Hence, the true statement about the triangle is (a) b^2 + c^2 > a^2
Read more about triangles at:
brainly.com/question/2515964
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