Answer:
(a, b, c) = (30°, 60°, 105°)
Step-by-step explanation:
Angle "a" and 30° are vertical angles, hence equal.
Angle "b" and angle "a" are complementary angles, so b = 90° -30° = 60°.
Angle "c" is supplementary to the one marked 75°, so is 180° -75° = 105°.
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Angles "a" and "b" are complementary because the sum of angles in a triangle is 180° and the third angle in that triangle is 90°. Then ...
a+b = 180°-90° = 90°
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75° and "c" are supplementary, because they are linear angles. The angle measure of a line is 180°, so that is their total measure.
Answer:
11 maybe
Step-by-step explanation:
multiply 8 by the x (which is one) and then add 3
Answer:
The lady is on the second door
Step-by-step explanation:
we have that
The sign on the first door reads "In this room there is a lady, and in the other one there is a tiger"
The sign on the second door reads "In one of these rooms, there is a lady, and in one of them there is a tiger."
so
The sign on the second door is true
The sign on the first door is true or false
Since one of these signs is true and the other is false, the sign in the first door must be false
therefore
The lady is on the second door
Answer:
What is pi? The number π (/paɪ/) is a mathematical constant. It is defined as the ratio of a circle's circumference to its diameter, and it also has various equivalent definitions. What are the first 3 numbers of pi? 3.14. Who invented Pi? The symbol π was devised by British mathematician William Jones in 1706 to represent the ratio and was later popularized by Swiss mathematician Leonhard Euler.
Step-by-step explanation:
Answer:
The first five terms of the given sequence
3, 6, 11, 18, 27
Step-by-step explanation:
It is given that,
an=n² +2
<u>To find the first five terms</u>
a₁ = 1² + 2 = 1 + 2 = 3
a₂ = 2² + 2 = 4 + 2 = 6
a₃ = 3² + 2 = 9 + 2 = 11
a₄ = 4² + 2 = 16 + 8 = 18
a₅ = 5² + 2 = 25 + 2 = 27
Therefore the first five terms of the given sequence
3, 6, 11, 18, 27
