Step-by-step explanation:
the first statement and reason is usually found in what's given at the beginning.
1.a 1. given
the last one is what they want you to prove (also found under what was given)
4. g ( the symbol just means congruent)
supplementary means if I take how far the angle opens up and add it to the other angle I will get a straight line or 180°
the middle letter tells me the corner (vertex) and like opening a book you can see how much the angle opens up. it is a definition for supplementary angles
Equivalent expressions are expressions of equal values
The equivalent expressions are 4x+ (y - 8y) + (2z-5z) +6 and 6x-3x-6x + (2y - 10y) + (4 - 8) + (z - 88z)
<h3>How to determine the equivalent expressions</h3>
The first expression has been solved.
So, we have the following expressions
4x−7y−5z+6 and -3x−8y−4−87z
<u>4x−7y−5z+6</u>
We have:
4x-7y-5z+6
Rewrite as:
4x+ (y - 8y) + (2z-5z) +6
<u>-3x−8y−4−87z</u>
We have:
-3x−8y−4−87z
Rewrite as:
3x-6x + (2y - 10y) + (4 - 8) + (z - 88z)
Hence, the equivalent expressions are 4x+ (y - 8y) + (2z-5z) +6 and 6x-3x-6x + (2y - 10y) + (4 - 8) + (z - 88z)
Read more about equivalent expressions at:
brainly.com/question/2972832
To solve equations, you isolate the variable you are solving for on one side and everything else on the other side.
The first step to solving this equation is to combine like terms.
Combining like terms means to add up all terms that have the same variable(s) and exponent.
If no exponent is shown, then a 1 exponent is implied. The reason why we don't show a term raised to the first power is that it doesn't have any effect on the term.
I see three terms with the x variables. We can combine them. Why? Because they all have the same variable and exponent.
I'll rearrange the left-hand side to combine all the terms with the x variable.
Now we have -3 + 2x - 4x - 2x = -6
Combine all terms that have the x variable.
-3 + 2x - 4x - 2x = -6
-3 - 4x = -6
Now we have -3 - 4x = -6
What can we do now to isolate the x variable on the left-hand side?
For starters, we can add 3 to each side of the equation.
That way the -3 term will disappear.
-3 - 4x + 3 = -6 + 3
-4x = -3
Last step.
The x variable is being multiplied by the -4. If we reverse that operation
we can get the value of x.
-4x / -4 = 3 / -4
x = 3/-4 or x = -0.75
The unit rate for 'y' is 1/8 per x .
The unit rate for 'x' is 8 per y .
