Every triangle in the figure at right is equilateral. what is the measure of ∠age?

step:

1. use the corollaries of the isosceles triangle theorem. each angle in an equilateral triangle measures 60° 2. use those two angles to find m∠age.

problem:

Lems1. the following data set represents the scores on intelligence quotient(iq) examinations of 40 sixth-grade students at a particular school: 114, 122, 103, 118, 99, 105, 134, 125, 117, 106, 109, 104, 111, 127,133, 111, 117, 103, 120, 98, 100, 130, 141, 119, 128, 106, 109, 115,113, 121, 100, 130, 125, 117, 119, 113, 104, 108, 110, 102(a) present this data set in a frequency histogram.(b) which class interval contains the greatest number of data values? (c) is there a roughly equal number of data in each class interval? (d) does the histogram appear to be approximately symmetric? if so,about which interval is it approximately symmetric?

The random variable x is defined as the number marking the sector in which the arrow lands when the spinner in the diagram is spun once.

The curved part of the figure is the semicircle what is the best approximation for the area of this figure