The sum of the angles in a pentagon is 540°.
This means that each angle is 108°.
Inside you pentagon, a triangle is drawn. This triangle is isosceles, because the corners are on the points of the regular pentagon. You know that angle C is 108°.
Angles in a triangle add up to 180°.
B and D will be the same size as this is isosceles.
180°-108° = 72°
This is B and D. You only need one of these, so you divide by 2.
The answer is 36°.
Hope this helps :)
For the first question, the answer is 25/14.
Because 14x = 25y Which means x must equal more than y. And 25/14 is the only answer like this.
For the second question, the answer is 30 x 18.
30/5 = 6 18/3 = 6 18 + 18 + 30 + 30 = 96
So, both the perimeter and the ratio is correct with this answer.
For the third question, the first answer is correct.
x < -4 and only a negative number can be less than another negative. Also, the negative must have a higher value to be less than another negative.
For the last question, the last answer is correct. no explanation for this one, it would take too long ;)
The have to have same denominator .
so 2(7/15)+3(3/10)
14/30+9/30
The answer is 23/30
So, if Emma has $50.00, subtract the registration fee to get it out of the way.
50.00 - 13.95 = 36.05
Next, divide .49 by 36.05
36.05 ÷ .49 = 73.57.
She has .57 cents left to buy ONE more song making it 74 songs she can buy.