If the triangles are congruent, the angle opposite the 32 cm side will have the same measure as angle E, 40°. An appropriate choice for this question is ...
b. The measure of c is 40.
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In actual fact, the triangles not only are not congruent, they cannot exist. The total of sides FG and FE (82 cm) is less than the length of side GE (38 in). 82 cm is about 32.3 inches, about 5.7 inches too short.
Even if you overlook the units problem, the sum of squares of the sides of the triangle is 32² +38² = 2468, somewhat short of 50² = 2500. That is, the largest angle is slightly more than 90°. It is closer to 90.754° ≈ 91°.
You can label a diagram any way you want, but that doesn't mean the numbers are consistent or sensible.
Answer:
<u>Use Pythagorean:</u>
<h3>#1</h3>
- x² = 16² - 8²
- x² = 192
- x = √192
- x = 12.73, not an integer
<u>Not a Pythagorean triple</u>
<h3>#2</h3>
- x² = 40² + 9²
- x² = 1681
- x = √1681
- x = 41
<u>It is a Pythagorean triple (9, 40, 41)</u>
<h3>#3</h3>
- x² = 6² + 13²
- x² = 205
- x = √205
- x = 14.32, not an integer
<u>Not a Pythagorean triple</u>
Answer:
a) 165.52 degrees.
b) 131.41 degrees.
c) 118.96 degrees.
d) 159.73 degrees.
Step-by-step explanation:
The sine of an obtuse angle is positive as it is in the second quadrant.
a) Using a calculate the angle whose sine ( arcsin) is 0.25 = 14.478 degrees
so the obtuse angle = 180 - 14.478 = 165.52 degrees to nearest hundredth
b) c) and d) are calculated in the same way.
Hello!
To find how much chocolate Adi and Suresh receives, you need to convert the percentage to a decimal, then you multiply that decimal by the total number of chocolates, which is 20.
To convert percentages to decimals, divide the percentage by 100, and remove the percentage.
60% / 100 = 0.60
20% / 100 = 0.20
Then, we multiply 0.60 and 0.20 by 20.
0.60 x 20 = 12
0.40 x 20 = 8
Therefore, Adi gets 12 chocolates and Suresh gets 8 chocolates.
