What must be true for lines a and b to be parallel lines? Check all that apply.
2 answers:
Answer:
Option (1), (2) , (7) and (8) is correct.
Step-by-step explanation:
Given: a║b and d and c be transversal , We have to find the value of x and measure of angle 1 and 2.
Since, a║b and d be a transversal then ,
∠BXZ = ∠AZP = 58° ( corresponding angles )
Thus, m∠2 = 58°
∠BYC = ∠XYZ = (4X-10)° (vertically opposite angles)
Since, a║b and c be a transversal then,
∠XYZ = ∠QZU = (4X-10)° (Corresponding angles)
Thus, m∠1 = (4X-10)°
Also, Since, 'a' is a straight line.
Sum of angles on a straight line is 180°.
⇒ ∠PZA + ∠PZQ + ∠QZU = 180°
⇒ 58° +(3X-1)°+(4X-10)° = 180°
⇒ 58° + 7x - 11 = 180°
⇒ 47° + 7x = 180°
⇒ 7x = 180°- 47°
⇒ 7x = 133°
⇒ x = 19°
Put x = 19 in (3X-1)° and (4X-10)° , we get
(3X-1)° = (3(19)-1)° = 56°
(4X-10)° = (4(19)-10)°= 66
Thus, (3X-1)° ≠ (4X-10)°
Thus, option (1), (2) , (7) and (8) is correct.
You might be interested in
The value of h is -1.5 if the graph shows the function f(x)= |x-h| + K or f(x) = |x + 1.5| - 3.5.
<h3>What is a function?</h3>It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have a function:
f(x) = |x - h| + k is shown in the graph.
The above function is a transformation of a parent function:
F(x) = |x|
After applying transformation we get:
f(x) = |x + 1.5| - 3.5
On comparing:
h = -1.5
k = -3.5
Thus, the value of h is -1.5 if the graph shows the function f(x)= |x-h| + K or f(x) = |x + 1.5| - 3.5.
Learn more about the function here:
#SPJ1
Hello,
Please, see the attached file.
Thanks
