Answer:
Transitive Property of Congruency;If parallel lines have a transversal, then alternate interior angles are congruent.
The Transitive Property of Congruency:
If 2 angles are congruent to a third angle, then they are congruent to each other. So, since angles 4 and 5 are both congruent to angle 1, they are congruent to each other.
Angles 4 and 5 are alternate interior angles. Therefore, if parallel lines have a transversal, alternate interior angles are congruent.
Answer: 73
Step-by-step explanation:
(
3
×
−
8
)
−
(
+
4
)
+
(
2
×
−
2
)
−
5
⇒
p
(
−
2
)
=
−
24
−
4
−
4
−
5
⇒
p
(
−
2
)
=
−
37
⇒
p
(
3
)
=
3
(
3
)
3
−
(
3
)
2
+
2
(
3
)
−
5
⇒
p
(
3
)
=
(
3
×
27
)
−
9
+
6
−
5
⇒
p
(
3
)
=
81
−
9
+
6
−
5
⇒
p
(
3
)
=
73
-2(-x + 3y) - 3(x - 5y)
-2(-x) - 2(3y) - 3(x) + 3(5y)
2x - 6y - 3x + 15y
2x - 3x - 6y + 15y
-x + 9y
Applying the law of sines, the measurement indicated are:
7. AB = 24.1 cm
8. BC = 28.0 in.
<h3>What is the Law of Sines?</h3>
Law of sines is: sin A/a = sin B/b = sin C/c.
7. AB (c) = ?
BC (a) = 22 cm
A = 180 - 138 - 22 = 20°
C = 22°
Apply the law of sines:
sin 22/AB = sin 20/22
AB = (sin 22 × 22)/sin 20
AB = 24.1 cm
8. BC (a) = ?
A = 58°
AC (b) = 33 in.
B = 180 - 58 - 33 = 89°
Apply the law of sines:
sin 58/BC = sin 89/33
BC = (sin 58 × 33)/sin 89
BC = 28.0 in.
Learn more about the law of sines on:
brainly.com/question/2807639
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Answer:
648
Step-by-step explanation:
