(Y-Y1)/(X-X1)
(-9-(-29))/(7-15)
20/-8
-2 1/2
The slope is -2 1/2
C
A square can be defined as a rhombus which is also a rectangle – in other words, a parallelogram with four congruent sides and four right angles. A trapezoid is a quadrilateral with exactly one pair of parallel sides.
We know that the building must form a right angle with the ground, so the triangle formed by the ladder, the wall, and the distance between the base of the ladder and the wall is a right triangle. We can use the Pythagorean theorem to find the distance the ladder is from the building.
a^2 + b^2 = c^2
We know that the ladder is the hypotenuse because it is opposite the right angle.
a^2 + b^2 = 20^2
Substitute the length of the other side and solve.
a^2 + 17^2 = 20^2
a^2 + 289 = 400
a^2 = 111
The distance from the wall to the bottom of the ladder is the square root of 111 or approximately 10.5357 feet
The mode is the value from a given set of data that occurs most often. It is the data with the highest frequency.
Given:
16,12,10,15,7,9,16
Form the above data given;
Rearranging for easy identification, we have;
7,9,10,12,15,16,16
From the above, we can deduce that the mode is 16 because it appears the most often. It appears twice.
Therefore, the mode is 16.
61+58=119
180-119=61=angle 2
180-61=119=angle 4
