Answer:
see below
Step-by-step explanation:
1. < 4 is the exterior angle of a triangle given
2. <1 + <2 + <3 =180 basic property of triangles
3. <3 + <4 are a linear pair <3 and <4 are adjacent and form a straight line
4. <3 and <4 are supplementary angles supplementary angles are linear pairs
5. <3 + <4 = 180 The definition of supplementary angles are that they add to 180 degrees
6. <1 + <2 + <3 = <3+ <4 Substitute <3 + <4 for 180 in equation from step 2
7 <1 + <2 = <4 Subtract <3 from each side using the subtraction property of equality
Answer:
yes
Step-by-step explanation:
You can perform the "line test." If it is a function, there will not be two x's of the same value. In this case, x is 2,6,-1. No number repeats, thus making a function.
We can begin by rewriting the problem:
4(2x + 5) + 2x + 3 = -11
Let’s solve in steps.
1. Distribute
8x + 20 + 2x + 3 = -11
2. Combine like terms
10x + 23 = -11
3. Subtract 23 from both sides
10x + (23 - 23) = -11 - 23
10x = -34
4. Divide both sides by 10
10 / 10 = 1 (or x)
-34 / 10 = -3.4
Therefore, x = -3.4.
Answer:
ABD
Step-by-step explanation:
Yes, math can be challenging sometimes (mostly due to the horrible way its taught by teachers but I wont go on a rant about that today).
The Slope of a parallel line is obviously going to have the same slope as the line it is parallel to, which you already know.
But for perpendicular, how would we figure that out?
First, you need to understand whats going on. Picture a linear line. Now, look at the (0,0) point. To make it perpendicular, it must form 90 degrees with the other line. Now, to get the answer for a perpendicular line, you need to remember two steps.
1.) Change the sign to the opposite sign (negative would go positive and positive would go negative)
2.) You take the reciprocal of the line (That is what times that number would make that number equal one. 2 * 1/2 would be 1. You can also look at this by switching the denominator and numerator.
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