Answer:
there are 8 candles
Step-by-step explanation:
(i) In order to obtain an equal amount of candle to candle holders Caroline has to buy enough packs to obtain a 1:1 ratio.
Therefore to obtain a 1:1 ratio:
=30 candles/18 candle holders * (18/30)
Therefore she needs to buy 18 packs of candles and 30 packs of candle holders to have exactly the same number of candles and holders
(ii) Caroline can make = 30*18 = 540 table decorations
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Let's recall that in a parallelogram:
1. The opposite sides are paralell
In our exercise. sides CZ and KG are paralell. And so do sides KC and GZ.
2. Those opposite sides are equal in length.
3. The opposites angles are equal. In our exercise, angle C and G are equal and so do angles K and Z.
4. That also mean that the angles at the top of the figure are supplementary. It means they add up to 180 degrees. We have the same situation with the two angles at the bottom of the parallelogram.
In our case then:

Now, we can find the measure of angles K and Z, as follows:

Answer: r = 4 sec θ
Explanation: Using: x = r cos θ then r cos θ = 4 ⇒ r = 4 cos θ = 4 sec θ
Answer:
43°
Step-by-step explanation:
The first thing you should do is make the equation. We should know that the sum of all the angles is 180. So it should look like this...

Combine like terms:

Subtract the 137 on both sides:

That's it the value of v is 43°.
The answer to your questions is 3.12