Solve each inequality and graph the solution:
-0.5x>-10.

Find out the simple interest on Rs. 7500 for 2 ½ years at 15  % per annum. Also find the amount

Find x if MN is the midsegment of △ ABC.

QUESTION 12: A square has vertices (0, 0), (m, 0), and (0, m). Find the fourth
vertex.

Solve each inequality and graph the solution :
x+9>15.

Note:
When we have an inequality with the symbols , we use dotted lines to graph them. This is because we do not include the end point of the inequality.

How is the solution to -4(2x-3)>36 similar to and different from the solution-4(2x-3)=36 .

Note:
The number of solutions for an inequality can be infinity. Whereas, a linear equation has only a maximum of one solution.

Find the simple interest and the amount on Rs. 4,000 at the rate of 8% per annum for 146 days?

A square park has paths as shown. Use coordinates to determine whether a coffee shop at point M is the same distance from each corner.

Place a scalene triangle in a coordinate plane in a way that is convenient for finding side lengths. Assign
coordinates to each vertex.

A gardener buys two kinds of fertilizer. Fertilizer A contains  filler materials by weight and Fertilizer B contains  filler materials by weight. Together, the fertilizers bought by the gardener contain a total of 240 pounds of filler materials. Which equation models this relationship, where x is the number of pounds of Fertilizer A and y  is the number of pounds of Fertilizer B?

State and prove the Midsegment Theorem.

Find the midpoint and length of each side using the placement
below. What is the advantage of using 2h instead of h for the leg lengths?

A sum of Rs. 4,000 is lent for 5 years at the rate of 15% per annum. Find the simple interest.?

Place a rectangle in a coordinate plane in a way that is
convenient for finding side lengths. Assign coordinates to each vertex.
 

MN is the midsegment of △ ABC.
Find MN.
Also, find AC if CN = 35 cm

In △ ABC, AM ≅ BM
BQ ≅ QC
Prove that MQ ∥ AC.