a roofer leaned a 19 ft ladder against the house with the base of the ladder is 6 feet from the house, how high up the house does the ladder reach?

Complete the square (y=-16x^2+64x+60)

Consider a collection of envelopes consisting of 3 red envelopes, 2 blue envelopes, 2 green envelopes, and 3 yellow envelopes. If three envelopes are selected at random, without replacement, determine the probability that they are all red envelopes.

The center circle of a soccer field has a diameter of 20 yards. What is the approximate area of the center circle? 62.8 square yards 125.6 square yards 314 square yards 1,256 square yards

Frank has two same size rectanles divided into the same number of equal parts. One rectangle has 3/4 of the parts shaded and the other has 1/3 of the parts. Is there more than one possible answer

there are 12 more cars than trucks in the park garage. the ratio of truck to car is 3:5. how many trucks and how many car are in the park garage?

Ella's geometry teacher asked each student to devise a problem and write out its solution. Here is Ella's work: A triangle has side lengths of 10, 11, and 15.

Name another fraction that is equivalent to 4/7

Ellen had 2,080 legos, but she lost 17 legos. How many legos does she have now

Homer has 24 more marbles than lisa. lisa has 105 more than bart. if the three of them have 324 marbles in total, how many marbles does each of them have?

Angelica solves the system { x + y = - 3. x - y = 1 } and finds the solution (1, 3). Use substitution to explain whether Angelica's solution is correct.