An implication 
is true if either the premise 
is false, or both the premise and conclusion 
are both true, and false otherwise.
Negation 
is straightforward; if a statement is true, then its negation is false, and vice versa.
A conjunction 
is true if both premises are true, and false otherwise.
Finally, by the rules of implication, we can fill the last column:
Answer:
29 degrees
Step-by-step explanation:
Given
<D = 2x+8
<A = 122
The sum of the adjacent angle of the trapezoid is 180 degrees
<D + <A = 180
2x + 122 = 180
2x = 180-122
2x = 58
x = 58/2
x = 29 degrees
Hence the value of x is 29 degrees
Similar triangles may or may not have equal measures
Allie's error is that Allie did not state the similarity theorem
<h3>How to determine
Allie's error </h3>
The statement JKL ~ XYZ means that:
Triangles JKL and XYZ are similar triangles
From the complete question, we have the following highlights:
- Angles J and X have equal measures of 55 degrees
- The side lengths of triangle XYZ are 3 multiplied by the corresponding side lengths of triangle JKL
The above means that, both triangles are similar by SAS or SSS
In Allie's statement, the similarity theorem is not stated
Hence, Allie's error is that Allie did not state the similarity theorem
Read more about similar triangles at:
brainly.com/question/14285697
Given that B lies on segment AC and AB=7.8cm , BC = 25mm
Let us convert AB to mm by multiplying with 10 that is AB = 78mm
There are totally 3 possible ways for B lying on segment AC.
Solution 1:- B lies in between A and C,
Then AC = AB+BC
=78+25 = 103 mm
Solution 2:- B lies to the right of C like ACB.
Then AB = AC+CB
78 = AC+25
AC = 78-25 = 53mm
Solution 3:- B lies to the left of A like BAC.
Then BC = BA+AC
25 = 78+AC
Since AC cannot be negative, this way is not possible.
Hence there are only 2 solutions possible.
If we are given that B lies on line joining A and C, then definitely B should lie between A and C. That means nothing but solution 1. So only one solution is possible in this case.
Answer:
7x-4 = -28
4y+8 = 4(y + 2)
Step-by-step explanation:
