The flag of a country contains an isosceles triangle. (Recall that an isosceles triangle contains two angles with the same measure.) If the measure of the third angle of the triangle is 30° more than nbsp the measure of either of the other two angles, find the measure of each angle of the triangle. (Recall that the sum of the measures of the angles of a triangle is 180°.)

Explanation:

Let x be the measure of the base angles. The third angle is 30 degrees more than x, so it is x+30.

The three angles {x, x, x+30} add to 180,so,

x+x+x+30 = 180

3x+30 = 180

3x = 180-30 ... subtract 30 from both sides

3x = 150

x = 150/3 ... divide both sides by 3

x = 50

The base angles are 50 degrees each. The third angle is x+30 = 50+30 = 80

The three angles of the isosceles triangle are: 50, 50, 80

As a check, the three angles should add to 180

50+50+80 = 100+80 = 180

The answer is confirmed.

5x+2x=49

7x=49

x=7. 35 apples

see below

step-by-step explanation:

7.   there are 10 data points in the set.   the middle point is between 5 and 6.   the middle point in the top half is 8   and the middle point in the bottom half is 3. to find the iqr , take point 8 and subtract point 3

mid term   point 8 = 100   point 3 = 88

iqr = 100-88 = 12

final   point 8 = 93   point 3 = 78

iqr = 93 - 78 = 15

the final has the greatest iqr

6.   b - there is a high data value that causes the data set to be asymmetrical for the males: the data for males are high and asymmetrical .   there is an outlier for the males that skews the data

5.   the   iqr is a better measure of spread for the movies and basketball games.   since the basketball game has an outlier, we do not want to use standard deviation for measurement.  

3.   the exam median is much higher than the class median.   the median line is farther to the right on the exams

2.   there is no way to tell what the means are from the box and whisker plots.