Answer:
CAB = 54
ABC = 21
ACB = 105
DCB = 75
Step-by-step explanation:
18x - 15 = (13x - 11) + (4x + 1)
18x - 15 = 17x - 10
x = 5
CAB = 13x - 11 = 13(5) - 11 = 65 - 11 = 54
ABC = 4x + 1 = 4(5) + 1 = 20 + 1 = 21
ACB = 180 - (CAB + ABC) = 180 - (54 + 21) = 180 - 75 = 105
DCB = 180 - ACB = 180 - 105 = 75
Answer:
I just did this lesson; this answers are right.
1: Given 1: ∠1 = ∠2, ∠3 = ∠4, D is midpoint of segment BE, BC = DE
2: BD = DE 2: Definition of midpoint
3: BC = BD 3: Substitution
4: Triangle ABD congruent to Triangle EBC 4: ASA
5: ∠A = ∠E 5: CPCTE
Step-by-step explanation:
1 - 2x < 11
-2x < 10
x < -5
Jack's mistake is that he was supposed to divide by -2 on both sides of the inequality, but he did not do that. By dividing by -2, he will get x < -5.
Answer:
<u>y = -2x + 7</u>
Explanation:
<em><u>y = mx + b</u></em>
<em><u /></em>
<em>m = slope</em>
<em>b = y-intercept</em>
<em>y = a given y coordinate</em>
<em>x = a corresponding x coordinate</em>
<em />
First, we need to find the slope (m).
1) (4, -1)
2) (2/3)
m = slope = 
= 
= 
= -2
plug in the values to the equation <u>y = mx + b</u>
<u />
-1 = -2(4) + b
-1 = -8 + b
7 = b
now, we can substitute in m and b into the equation y = mx + b
<u><em>y = -2x + 7</em></u>
