By AAS congruence theorem, ΔABD is congruent ΔCDB.
Quadrilateral ABCD is given in the figure.
<h3>What is the congruence theorem?</h3>
Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.
Given, AB║DC
Consider ΔABD and ΔCDB
m∠A=m∠C=90° (Given)
m∠ABD=m∠BDC (Alternate interior angles)
BD = BD (Common)
Using AAS congruence theorem, ΔABD ≅ ΔCDB
Hence, by AAS congruence theorem, ΔABD is congruent ΔCDB.
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Answer:
The answer is Angle 5 duhhhhh
As an expression, this is:
222c - 15 = c
If you want to solve it, add 15 to each side to get:
222c = c + 15
Subtract c from each side:
221c = 15
Divide each side by 221:
c ≈ 0.0678733
Hope this helps!
Answer:
There were 36 space rocks in total.
Step-by-step explanation:
First, you need to find what fraction of the original rocks are silver.
If 2/3 are purple, then 1/3 of them are not.
If 3/4 of the remaining 1/3 are blue, then 3/4 x 1/3 = 3/12 rocks are blue.
2/3 of the rock are purple, 3/12 of them are blue, and the remaining is silver.
So, you need to do 2/3 - 3/12, then find common denominators so, 8/12 - 3/12 which = 1/12.
This means 1/12 of the rocks are silver. If there are silver rocks, you need to find a suitable equation that needs to be solved.
So:
1/12r = 3
r = 36 silver rocks
There were 36 space rocks in total.
hope this helps :)