8x - (5x + 4) ≥ -31
8x -5x - 4 ≥ -31
3x ≥ -31 + 4
3x ≥ -27
x ≥ - 9
Answer: a numbe line with a circle on - 9 and shading to the left.
Because that drawing represents the number that are less or equel than -9 and the answer is the numbers greater or equal than -9.
If A is acute, then all obtuse angles formed are supplementary.
First,multiply the -2 by everything in the brackets
so that's, -6x-(b-4x)+(x+6b)
then combine like terms
that's -6x-(7b-3x) which is
-3x-7b I believe
To answer this question we need to use subtraction.
we need to make the denominators the same.
In order to make them the same we need to find the least common multiple, of 8 and 5.
The least common multiple(the smallest shared value of the two numbers) is 40.
Next we divide our old denominator 5 by 40, which gives us 8, we multiply 8 by the numerator 2, which gives us 16. So now we have 16/20. We have to do the same to the other side. 8÷40 = 5. 5 x 3 = 15. Now we have 15/20.
Now we have a brand new equation, 16/40 - 15/40. The answer is 1/40.
In a fraction the answer is 1/40, so Karen rides her bike further.
In decimal form the answer is 0.025.
I hope this helps!
Applying the tangent ratio, the distance from A to C across the gorge, is: 60.6 ft.
<h3>What is Tangent Ratio?</h3>
The tangent ratio for solving a right triangle is given as, tan ∅ = opposite/adjacent.
Given the following:
- ∅ = 25°
- Adjacent length = 130 ft
- Opposite length = AC
Apply the tangent ratio:
tan 25 = AC/130
AC = (130)(tan 25)
AC = 60.6 ft
Learn more about the tangent ratio on:
brainly.com/question/4326804
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