Find the measure of angle x in the figure below:
two triangles are shown such that one triangle is inverted and share a common vertex. the lower triangle has two angles at the base marked as 55 degrees each. the angle at the vertex of the inverted triangle at the top is marked as x degrees.
65° 70° 110° 125°

Given: abcd is a square. prove: ac ? bd. we are given that abcd is a square. if we consider triangle aeb and triangle aed, we see that side is congruent to side ad because sides of a square are congruent. we know that side ae is congruent to side ae by using the . finally, we know that side de is congruent to side because the diagonals of a square bisect each other. therefore, triangle aeb is congruent to triangle aed by congruency. we see that angle aed and angle aeb are a linear pair, and congruent by cpctc. thus, the measure of these angles will be 90°, and diagonal ac is perpendicular to diagonal bd by the .

There were 32 volunteers to donate blood. unfortunately, nn of the volunteers did not meet the health requirements, so they couldn't donate. the rest of the volunteers donated 470 milliliters each.

Your biology teacher chooses six students from a class of 26 to do a special project. determine how many total groups can be made. use either permutation or combination for the answer.