Answer:
Angles 6, 4, and 2 are congruent to angle 8.
Step-by-step explanation:
By the Opposite Angles Theorem, angle 6 is congruent to angle 8.
By the Corresponding Angles Theorem, angle 4 is congruent to angle 8.
By the Corresponding Angles Theorem, angle 2 is congruent to angle 6, and angle 6 is congruent to angle 8, so angle 2 is congruent to angle 8 by the Transitive Property.
Answer:
(a) 3.8
Step-by-step explanation:
The Law of Sines can be used to find a missing side length in a triangle where the angles are known and at least one side is given. It tells you the ratio of side lengths is equal to the ratio of the sines of their opposite angles. In effect, longer sides are opposite larger angles.
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<h3>compare angles</h3>
The given side length (DE=3) is opposite given angle F=50°. The unknown side length EF is opposite larger angle D=75°.
<h3>compare sides</h3>
Since the unknown side is opposite a larger angle than the other angle given, the length of the unknown side will be longer than the side given.
EF > DE
EF > 3
Only one answer choice satisfies this inequality.
EF = 3.8
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<em>Additional comment</em>
If you want to do the actual computation, we have ...
EF/sin(D) = DE/sin(F)
EF = DE·sin(D)/sin(F) = 3·sin(75°)/sin(50°) ≈ 3.7828
EF ≈ 3.8
22+4*n-82 hope this is what u are looking for
all of them except the last efg and bcd
2+a / 2 = 4 and b+6 /2 = 10
2+a=8. and. b+6 = 20
a=6. and. b=14
(a,b) , the other endpoint, is thus (6,14)
