Two adjacent angles of a parallelogram are in the ratio of 1:3. What is the smaller angle of the two?
Answer(s): B
The sum of two adjacent angles in a parallelogram is 180. 180 divided by 4(1+3) is 45 and that is the size of the smallest among the angles.
Two adjacent angles of a parallelogram are in the ratio of 2:3. What is their average size?
Answer(s): D
The ratio doesn’t give us anything, two adjacent angles of a parallelogram always sum up to 180 degrees. And 180/2 is always 90 degrees.
The angles of a triangle are in the ratio of 3: 2: 1. The largest angle in the triangle is:
Answer(s): E
The sum of all the angles is 180. Divide 180 by 6 (3+2+1) and we’ll get 36; this is the size of the smallest angle. The largest angle is three times bigger, thus 36 x 3 = 108 degrees.
The perimeter of a circle is approximately 6.3 centimeters. The area of the same circle is A. which of the following is true?
Answer(s): C
John bought grocery products for 10 dollars using 55 coins. If John used quarters and dimes, what is the difference between the numbers of dimes to the number of quarters that he used?
Answer(s): A
Define X as the number of dimes that John used. Just a reminder, dimes are 10 cents coins. The number of quarters that he used is (55 – X). We can write the following equation:10X + 25(55 – X) = 1000. Notice that 1000 is the money he spent in cents. Therefore (–15X = -375) □ X = 25.The number of dimes is 25 and the number of quarters is (55 – 25 = 30). The difference between the amounts is 5 coins.
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