a parallelogram has side lenghts 20 cm and 25 cm. the diagonal opposite the obtuse angle measures 38 cm. what is the measure of
2 answers:
9514 1404 393
Answer:
114.8°
Step-by-step explanation:
The angles can be found using the Law of Cosines. It tells you ...
c² = a² +b² -2ab·cos(C)
Then angle C can be found to be ...
C = arccos((a² +b² -c²)/(2ab)) = arccos((20² +25² -38²)/(2·20·25))
C = arccos(-419/1000) ≈ 114.77°
The measure of the obtuse angle is about 114.8°.
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We are going to be checking each statement in order to find which of them are correct:
<h2>5/6 < 6/8 - 5/6 is smaller than 6/8</h2>We can see that in the drawing 3/8 is smaller than 5/6. Then this statement is false.
<h2>4/6 < 5/8 - 4/6 is smaller than 5/8</h2>
We can see that in the drawing 5/8 is smaller than 4/6. Then this statement is false.
<h2>2/6 = 3/8 - 2/6 is equal to 3/8</h2>
We can see that in the drawing 3/8 is bigger than 2/6. Then this statement is false.
<h2>3/6 = 4/8 - 3/6 is equal to 4/8</h2>
We can see that in the drawing 4/8 is equal to 3/6. Then this statement is true.
<h2>Answer: 3/6 = 4/8</h2>