Answer:
x = 8°
Step-by-step explanation:
since the angles are vertical angles, they are equal
3 + 14x = 115
14x = 112
x = 8
5x + 75 > = 600 (thats greater then or equal)
I believe the answer to your problem is B
Answer:
y = 2x + 1 --> linear
y = -4x + 7 --> non-linear
Not a solution for linear system.
Step-by-step explanation:
for (a), y = 2x+1, substitute the x and y values. keep in mind, that in a linear pair, (x, y). So, for the first equation you get:
7 = 2x3 + 1. This is correct, because 6 + 1 is 7. Therefore, (a) is linear.
for (b), we have to substitute our values again. You get:
7 = -4x3 + 7, which is
7 = -12+7, which is not true. So, (b) is not linear.
This means that for the linear pair (3, 7), it does not satisfy both equations, which means that it is not a solution for the linear system.
Option D:
Converse of the corresponding angle postulate
Solution:
1. Given a || b.
2. <u>Alternate Interior angle theorem:</u>
If two parallel lines are cut by a transversal, then the alternate interior angles are congruent.
⇒ ∠1 ≅ ∠3
3. Given ∠2 ≅ ∠3
4. <u>Transitive property of equality:</u>
If a = b and b = c, then a = c.
So, from (2) and (3), we can say ∠1 ≅ ∠2.
5. ∠1 and ∠2 are corresponding angles.
<u>Converse of the corresponding angle postulate:</u>
If two lines are cut by a transversal and the corresponding angles are equal then the two lines are parallel.
⇒ c || d.
Option D is the correct answer.
Converse of the corresponding angle postulate.
