The apothem is the distance from the center to the midpoint of one of the sides of a regular polygon. You can make a right triangle with the apothem, the line from the midpoint to the corner and the line from the center to the corner. An equilateral triangle has 60 degree angles (180/3). The right triangle has half of one of those angles so 30 degrees. Now we have a 30-60-90 triangle where the short leg is 5cm. The long leg, which is also half of one side of the triangle is thus
. A whole side of the triangle is
. Multiply that by 3 to get the perimeter of <span>
.</span>
Answer:
<u>The correct answer is A. 10 - 2</u>
Step-by-step explanation:
1. Let's make all the comparisons for the four alternatives:
A. 3 + 7 > 10 - 2 ⇒ 10 > 8, the comparison is correct because 10 is bigger than 8.
B. 3 + 7 > 9 + 4 ⇒ 10 > 13, the comparison is not correct because 10 is less than 13.
C. 3 + 7 > 7 + 3 ⇒ 10 > 10, the comparison is not correct because 10 is equal to 10.
D. 3 + 7 > 8 + 2 ⇒ 10 > 10, the comparison is not correct because 10 is equal to 10.
<u>The only correct comparison is A. 10 - 2.</u>
I am not good at this I tried and I’m sorry but I don’t know
7. Slope of AD = 4/16 = 1/4
8. ΔAEC = 3/12 = 1/4
.. ΔDFB = 2/8 = 1/4
9. The angles at E, G, and F are right angles. Lines CE and BF are parallel, so the alternate interior angles at B and C where the transversal AD crosses them are equal. The triangles of interest are similar by AA~.
10. See problem 7. The ratio is the same.
11. Hard to tell what rule they want you to state. Every axis-aligned right triangle with its hypotenuse on AD will have the same ratio of side lengths. (That's one of the features of the graph of a line. It has the same slope everywhere, measured over any distance.)
The distance covered by an object is governed by the expression x³+3x²+2x. The speed equation is given by speed = distance/time. The distance is x³+3x²+2x and the time is x + 1. So, divide them and you will get a speed of x² + 2x
