Answer:
Therefore
1. Vertical Opposite Angle Theorem is used to prove that the triangles are similar.
2. Angle-Angle similarity statement is used.
3. x = 10 unit and y = 7.5 unit.
Step-by-step explanation:
Given:
∠A ≅ ∠E
AB = 8 , DE = 12 , BC = 5 , CE = 15
To Prove:
Δ ABC ~ ΔEDC
To Find :
x = ?
y = ?
Proof:
Vertical Angle Theorem:
The angles opposite each other when two lines cross. They are always equal.
Here vertical opposite angles are,
∴ ∠ACB ≅ ∠ECD
Angle-Angle Similarity :
If in Two triangle Two corresponding angles are congruent then the Triangles are Similar by Angle-Angle Similarity statement.
Now,
In Δ ABC and Δ EDC
∠A ≅ ∠E …………..{ Given }
∠ACB ≅ ∠ECD ……….....{Vertical Opposite Angle Theorem}
Δ ABC ~ Δ EDC ….{Angle-Angle Similarity test}
If two triangles are similar then their sides are in proportion.
On Substituting the given values we get
Therefore,
Therefore
1. Vertical Opposite Angle Theorem is used to prove that the triangles are similar.
2. Angle-Angle similarity statement is used.
3. x = 10 unit and y = 7.5 unit.
Answer:
The answers are below,...
Step-by-step explanation:
1. LN = 37
2. NM = 23
3. x = 4
4. EF = 58 / x = 16
5.
6.
7.
8.
Moreover explanation:
Okay so with 5-8 I was unable to figure out the answer,... I guess I shouldn't be answering your questions if I have to figure them out as well. lol,... I did however try (I've been working on just 5-6 for the last hour or so) so I guess brownie points for me for that,... so sorry I couldn't help completely though,... I asked my older brother how to solve them and he is going to get back to me on them (he also has a schedule to keep) I'll hopefully get back to you soon so stay tuned (or not cause hopefully someone else has already answered them) again, so sorry. and the best of luck to you! later!
Answer:
Step-by-step explanation:
<u>Volume of a Pyramid</u>
The volume of a pyramid with base area Ab and height H is given by:
If the base is a square of side length L, then its area is:
Thus, substituting the above equation in the first:
The side length is L=10.9 m and the height is 4.7 m, thus the volume is:
The answer would be 630 because you would multiply 10*63=630
Answer:
If the earth didn't have a tilt, then we would only have one season which would most likely correspond to spring or autum.
Step-by-step explanation:
We would also expirience a mini summer when the earth is closest to the sun and we would expeirience a mini winter when the earth is farthest from the sun. Every where on the Earth would have a 12 hour sunlight days. It would still be warm at the equator and cold at the poles.
[I hope this answered your question ᓚᘏᗢ]
