91Ó°ÊÓ

Find the measure of the angles. The measures of two supplementary angles are \((10 x-25)^{\circ}\) and \((15 x+50)^{\circ}\)

The perimeter of a geometric figure is the sum of the lengths of its sides. Pablo used a ruler divided into centimeters and measured the sides of a triangle as 3 centimeters, 5 centimeters, and 6 centimeters. Use what you know about the precision of any measurement to answer each question. What is the least possible perimeter of the triangle? Explain.

Find the value of the variable and \(M P,\) if \(P\) is between \(M\) and \(N\) $$M P=4 x, P N=5 x, M N=36$$

The geographic center of Massachusetts is in Rutland at \(\left(42.4^{\circ}, 71.9^{\circ}\right),\) which represents north latitude and west longitude. Hampden is near the southern border of Massachusetts at \(\left(42.1^{\circ}, 72.4^{\circ}\right)\). CAN'T COPY THE GRAPH If Hampden is the midpoint of a segment with one endpoint at Rutland, find the latitude and longitude of the other endpoint.

Find the distance between each pair of points. $$L(1,3), M(3,-1)$$

Use grid paper to draw all possible rectangles with length and width that are whole numbers and with a perimeter of \(12 .\) Record the number of grid squares contained in each rectangle. What do you notice about the rectangle with the greatest number of squares?

Find the distance between each pair of points. Then find the coordinates of the midpoint of the line segment between the points. $$E(-3,-2), F(5,8)$$

Evaluate each expression if \(\ell=3, w=8,\) and \(s=2\) $$\ell w$$

Identify the term that does not belong with the other three. Explain your reasoning. square \(\quad\) circle \(\quad\) triangle \(\quad\) pentagon

Explain how to measure a segment with a ruler divided into eighths of an inch.