Answer:
All real numbers are solutions to the equation.
Step-by-step explanation:
We want to solve the equation:
![|4x - 4(x + 1)| = 4](https://tex.z-dn.net/?f=%20%7C4x%20-%204%28x%20%2B%201%29%7C%20%20%3D%204)
This is an absolute value equation.
We expand the parenthesis to get:
![|4x - 4x - 4| = 4](https://tex.z-dn.net/?f=%20%7C4x%20-%204x%20-%204%7C%20%20%3D%204)
We simplify to get
![| - 4| = 4](https://tex.z-dn.net/?f=%20%7C%20-%204%7C%20%20%3D%204)
This finally gives us:
![4 = 4](https://tex.z-dn.net/?f=4%20%3D%204)
This statement is true.
Which means that, there is infinitely many solutions
Whenever <u>two</u> or <u>more</u> lines <em>intersect </em>at a point, an <em>angle</em> is usually produced. And some of these angles formed may have <u>common </u>properties, and thus be <em>congruent</em>.
The appropriate reasons for the given <u>statements</u> in the question are given below:
STATEMENT REASON
1. <1 ≅ <2 <u>Vertical</u> <em>Angle</em> theorem
2. <1 and <2 are complementary
<2 and <3 are complementary <em>Congruent Complements</em> Theorem
3. <1 and <2 are supplementary
<2 and <3 are supplementary <u>Congruent</u> Supplements
4. <1 and <2 are right angles All<em> Right Angles</em> are Congruent
5. <1 ≅ <2,
<1 and <2 are supplementary If two angles are <u>congruent</u> and
<u>supplementary</u>, then each angle is
a <em>right angle</em>.
For more clarifications on the properties of complementary and supplementary angles, visit: brainly.com/question/14941189
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m = ![\frac{29}{18}](https://tex.z-dn.net/?f=%5Cfrac%7B29%7D%7B18%7D)
add
to both sides
m = -
+ ![\frac{11}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B11%7D%7B6%7D)
we require a common denominator for both fractions before adding
multiply numerator/denominator of -
by 2
multiply the numerator/denominator of
by 3
= -
+
= ![\frac{29}{18}](https://tex.z-dn.net/?f=%5Cfrac%7B29%7D%7B18%7D)
Complete the math in the brackets (4a + 1)
Multiple each term in the brackets by 4a
4a (8a - 4a + 1)
4a (4a + 1)
16a^2 + 4a