A. ∠4 is congruent to ∠5; True.
B. Two lines are parallel; True.
C. The measure of ∠6 = 90.5°; False.
D. ∠2 and ∠3; True.
<h3>What are the properties of angles of parallel lines?</h3>
- On a common plane, two parallel lines do not intersect.
- As a result, the characteristics of parallel lines with respect to transversals are given below.
- Angles that correspond are equal.
- Vertical angles are equal to vertically opposite angles.
- Interior angles that alternate are equal.
- The exterior angles that alternate are equal.
For the give question;
Two line are cut by the transversal.
∠1 = 90.5° and ∠7 = 89.5°
Thus the result for the given statement are-
A. ∠4 is congruent to ∠5 because they are alternate interior angles; True.
B. Two lines are parallel; True.
C. The measure of ∠6 = 90.5°; False.
∠6 = ∠7 = 89.5°.(correct)
D. ∠2 and ∠3 are supplementary because they are same-side exterior Angeles; True.
Thus, the result for the given statement are found.
To know more about the parallel lines, here
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A=10x(15x)-p(4x)^2
A=150x^2-16px^2
A=(150-16p)x^2
Answer: 
, 
, 
, 15/2, 7.5
Step-by-step explanation: This is a bit tricky because 15/2 is equal to 7.5 !!
√40 = 6.32455532
7 1/5 = 7.2
3√6 = 7.348469228
15/2 = 7.5
7.5 = 7.5
3x - 15 = 105
3x = 120
x = 40
3(40) - 15 + y + 24 = 180
120 - 15 + y + 24 = 180
129 + y = 180
y = 51
The original line is
4x - 2y = -12
The parallel lines will all be
4x - 2y = constant
and the constant is given by the point directly:
4x - 2y = 4(4) - 2(-4) = 24
2y = 4x - 24
y = 2x - 12
Answer: y = 2x - 12
