Answer:
Proved
Step-by-step explanation:
Given
Prove that
Multiply the numerator and denominator by 1 + sinx
Combine both fractions to form 1
Expand the denominator using difference of two squares;
The expression becomes
From trigonometry;
The expression becomes
Divide the numerator and the denominator by cos x
Split fraction
From trigonometry;
So;
=
Answer:
<u>Given two triangles Δ ABC and Δ XYZ, if:</u>
<u>1. Two angles and,</u>
<u>2. A non-included side of Δ ABC and Δ XYZ are congruent, therefore:</u>
<u>Δ ABC ≅ Δ XYZ (Δ ABC and Δ XYZ are congruents)</u>
Step-by-step explanation:
What is the AAS theorem of congruence?
Given two triangles Δ ABC and Δ XYZ, if:
1. Two angles and,
2. A non-included side of Δ ABC and Δ XYZ are congruent, therefore:
Δ ABC ≅ Δ XYZ (Δ ABC and Δ XYZ are congruents)
Answer:
D: 2/4
Step-by-step explanation:
Usually when we talk about a point partitioning a segment, we are interested in the ratio of the first segment to the second:
BC : CD = 2 : 2 = 1 : 1
Since this is not an answer choice, we need to "reverse engineer" the answer list to see if we can find an answer that corresponds to a reasonable interpretation of the question.
__
None of the segments is 3 units long, so neither of answer choices A or B makes any sense.
While segment BD is 4 units long, there is no segment that is 1 unit long, so answer choice C makes no sense, either.
There are segments that are 2 units long and a segment that is 4 units long, so if we interpret the question to be "what is the ratio of BC to BD?" then answer choice D is appropriate.
Answer: Distance between (2, 5) and (8, 5) = 8 - 2 = 6
Distance between (8, 5) and (8, 3) = 5 - 3 = 2
Distance between (8, 3) and (2, 3) = 8 - 2 = 6
Distance between (2, 3) and (2, 5) = 5 - 3= 2
Total length of border = 6 + 2 + 6 + 2 = 16
SSS POSTULATE is the answer