<u>Answer
</u>
The concept can be used to prove that the diagonals of a parallelogram bisect each other is congruent triangles
<u>Explanation
</u>
In a parallelogram, opposite sides are equal and parallel.
The two diagonals in the parallelogram make four triangles. opposite triangles are congruent. That means two pair of congruent triangle are here.
Using congruence of triangles, we can prove the diagonals of a parallelogram bisect each other
Answer:
-4
Step-by-step explanation:
1. Use the distributive property to get 6x + 36 = -2x + 8 + x
2. Combine like terms 6x + 36 = -x + 8
3. Subtract 36 on both sides. 7x + 36 = 8 > 7x = -28
4. Divide by 7
-28/7 = -4 x=4
First, lets do all calculations in kg. 1kg=1000 grams
Lets set 1 cat's mass as x.
Lets set the other cat's mass as y.
1) x+y=11
2) y=x+1.5
Lets plug eq 2 into eq 1.
x+x+1.5=11
2x+1.5=11
2x=9.5
x=4.75 kg
If one cat weighs 4.75 kg, then the other must weigh 6.25 kg.
a. Recall the double angle identities:


Then

Applying the identity again, we have

as required.
b. Using the result from part (a),



(where
is any integer)
