Geometry homework! help

Mathematics

1 answer:

Bogdan [553]2 years ago

8 0

Answer:

cos∠ABC = 12/15 = 0.80

tan∠ABC = 9/12 = 0.75

sin∠ACB = 12/15 = 0.80

cos∠ACB = 9/15 = 0.60

tan∠ACB = 12/9 = 1 1/3

Step-by-step explanation:

Find the Adjacent, Opposite, or Hypotenuse angles to the angles in the picture and fill them into the given fraction.

cos∠ABC = Adjacent/Hypotenuse = 12/15 = 4/5 = 0.80

tan∠ABC = Opposite/Adjacent = 9/12 = 3/4 = 0.75

sin∠ACB = Opposite/Hypotenuse = 12/15 = 4/5 = 0.80

cos∠ACB = Adjacent/Hypotenuse = 9/15 = 3/5 = 0.60

tan∠ACB = Opposite/Adjacent = 12/9 = 1 1/3 (1 1/3 in decimal form is 1.3 with a line on top of 3 (Bar on top of 3))

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Explain why segments connecting any pair of corresponding vertices of congruent pentagons are congruent. make a sketch to suppor

Veronika [31]

Answer:

Congruence between pentagons

Step-by-step explanation:

The relationship occurs because having two congruent Pentagons and generating a segment within them (or outside), congruence is extrapolated to the triangles generated within them. Thus, if there is congruence among the pentagons, it will exist between the formed triangles. In other words since the two pentagons are congruent, the corresponding angle pair is congruent. also the two corresponding side pairs are also congruent.

In the attached image for example, the ABCDE and KLMNO pentagons are congruent, so all of their internal division lines are also congruent (AC and KM)