Theorem: A triangle has at most one obtuse angle. Eduardo is proving the theorem by contradiction. He began by assuming that in
△
A
B
C
,
∠
A
and
∠
B
are both obtuse. Which theorem will Eduardo use to reach a contradiction?

A.
If two supplementary angles are equal, the angles each measure 90°

B.
The sum of the measures of the angles of a triangle is 180°

C.
If two angles of a triangle are equal, the sides opposite the angles are equal.

D.
The largest angle in a triangle is opposite the largest side.

Suppose that the price p (in dollars) and the weekly sales x (in thousands of units) of a certain commodity satisfy the demand equation 4p cubedplusx squaredequals38 comma 400. determine the rate at which sales are changing at a time when xequals80, pequals20, and the price is falling at the rate of $.20 per week.

You have learned about the six trigonometric functions, their definitions, how to use them, and how to represent them graphically. the sine, cosine, and tangent trigonometric functions can be paired with their reciprocal functions, cosecant, secant, and cotangent, respectively. think about how each function is related to its reciprocal function. how are the graphs of the reciprocal functions related to their corresponding original functions? what happens to the graphs of the reciprocal functions as x approaches the zeros of the original functions? describe how you would teach friends with different learning styles (visual-spatial, aural-auditory, verbal-linguistic, physical-bodily-kinesthetic, logical-mathematical, social-interpersonal, and solitary-intrapersonal) how to graph the reciprocal functions

If a distance of 75 yds is measured back from the edge of the canyon and two angles are measured , find the distance across the canyon angle acb = 50° angle abc=100° a=75 yds what does c equal?