1.)Write the ratio of 20 to 18 in lowest terms 2.)Find the supplement of <A. m<A =72 degrees. 3.)Place the following numbers in ascending order. -2/5, 1/6, 7/8, -5/9, 3/4
1) 20 : 18 = 10 : 9
2) ?
3) To solve this you need to find the least common denominator.
180 - 72 = 108
5
6 = 2*3
8 =2*2*2
9 = 3*3
4 = 2*2
so in the least common denominator we need
5, 2*2*2 , 3*3
which is
360
but without doing all that look more closely
two of your numbers are negative and two are positive
-2/5 = -18/45
-5/9 = -25/45
so your list starts with
-5/9 , -2/5
now look at those positive ones and think ruler
7/8 is bigger than 3/4
and 1/6 is tiny compared to them
so your full list is
-5/9, -2/5 , 1/6, 3/4, 7/8
so you do not need to use the least common denominator of the three positive numbers which is 24
1) To find the ratio of 20 to 18 in lowest terms, we can divide both numbers by their greatest common divisor (GCD).
The GCD of 20 and 18 is 2. Divide both numbers by 2:
20 ÷ 2 = 10
18 ÷ 2 = 9
So the ratio of 20 to 18 in lowest terms is 10 to 9.
2) The supplement of an angle refers to the angle that, when added to the given angle, equals 180 degrees.
To find the supplement of angle A with a measurement of 72 degrees, subtract the given angle measurement from 180:
180 - 72 = 108
Therefore, the supplement of angle A is 108 degrees.
3) To place the given numbers in ascending order, we compare them and arrange them from smallest to largest:
-2/5, 1/6, 7/8, -5/9, 3/4
First, we can simplify each fraction to make the comparison easier:
-2/5 = -0.4
1/6 = 0.1667 (rounded to four decimal places)
7/8 = 0.875
-5/9 = -0.5556 (rounded to four decimal places)
3/4 = 0.75
Now we can arrange them in ascending order:
-5/9, -2/5, 1/6, 3/4, 7/8
So, the numbers in ascending order are -5/9, -2/5, 1/6, 3/4, and 7/8.