The information given about the proof does that Daniel made an error on line 2.
<h3>How to illustrate the information?</h3>
Given:
1. AB = 3x +2; BC = 4x + 8; AC = 38
2. AB + BC = AC incorrect (not an angle angle addition postulate)
3. 3x+2 + 4x + 8 = 38 correct
4. 7x + 10 = 38 correct
5. 7x = 28 correct
6. x = 4
Daniel made an error on line 2.
Here is the complete question:
Daniel wrote the following two-column proof for the given information. Given: AB = 3x + 2; BC = 4x + 8; AC = 38 Prove: x = 4 Statements Reason 1. AB = 3x + 2; BC = 4x + 8; AC = 38 1. Given 2. AB + BC = AC 2. Angle Addition Postulate 3. 3x + 2 + 4x + 8 = 38 3. Substitution Property of Equality 4. 7x + 10 = 38 4. Combining Like Terms 5. 7x = 28 5. Subtraction Property of Equality 6. x = 4 6. Division Property of Equality On which line, did Daniel make his error? line 2 line 3 line 4 line 5
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x+15
depends on the value of x
Answer:
y +2 = 4(x -3)
Step-by-step explanation:
Point-slope form of the equation of a line with slope m through point (h, k) is ...
y -k = m(x -h)
For m = 4 and (h, k) = (3, -2), the equation is ...
y +2 = 4(x -3) . . . . . matches the first choice
Answer:
2 degrees and 178 degrees.
Step-by-step explanation:
So, remember if 2 angles are supplementary, they equal 180 degrees. Let's call the smaller angle x, meaning the bigger angle, which is 89 times the size of the smaller angle, would be 89x. Now let's put that into an equation.
180 = x + 89x
We now have to group the x's together:
180 = 90x
Now in order to determine x, we have to divide by 90 on both sides.
X= 2
So we know that the smaller angle is 2, meaning that if the larger angle is 89 times the size, the larger angle would be 178.
