Find the measures of the angles in a triangle with the ratio of 2:7:9

 20, 70, 90

Work Shown:

Let x be some positive real number.

Multiply each part of the given ratio by x to get 2x:7x:9x

So we have the three angles 2x, 7x, and 9x.

For any triangle, the three angles must add to 180

2x+7x+9x = 180

18x = 180

x = 180/18

x = 10

This leads to

The three angles of this triangle are: 20, 70, 90

This is a right triangle due to the 90 degree angle.

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.