Two parallel lines are intersected by a transversal. One of the interior angles is (4y + 20)° and its corresponding angle is (7y - 40)°. Find the measure of the angle vertically opposite to the other interior angle on the same side of the transversal.
4
The mean of 5 numbers is 30. If one number is removed, the mean of the remaining 4 numbers becomes 28. What was the value of the removed number?
5
The angles of a triangle are in the ratio 3:5:7. What type of triangle is it based on its angles?
6
A farmer has a rectangular field with a length of 25.5 meters and a width of 12.4 meters. He wants to fence the field, and the cost of fencing is $3.25 per meter. What is the total cost of fencing the field?
7
A father is 5 times as old as his son. In 8 years, the father will be 3 times as old as his son. What are their current ages?
8
An angle is 10° more than twice its complement. What is the measure of the angle?
9
A class has 25 students. The average weight of the first 10 students is 40 kg, and the average weight of the remaining 15 students is 44 kg. What is the average weight of the entire class?
10
In an isosceles triangle, the vertex angle is (4x - 10)° and each of the base angles is (2x + 5)°. What is the measure of the vertex angle?
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