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s344n2d4d5 [400]
2 years ago
10

Solve the polygon for x

Mathematics
1 answer:
wariber [46]2 years ago
4 0
  • Octagon has sum of angles 1080°

\\ \rm\Rrightarrow 5(10x+15)+2(14x)+6x-3=1080

\\ \rm\Rrightarrow 50x+75+28x+6x-3=1080

\\ \rm\Rrightarrow 84x+72=1080

\\ \rm\Rrightarrow 84x=1008

\\ \rm\Rrightarrow x=1008/84

\\ \rm\Rrightarrow x= 12

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3 years ago
30 pointss!HELP! Two students get into an argument about the correct answer.
Mamont248 [21]

Both Rhianna and Christopher were correct as they took different reference angles.

Step-by-step explanation:

Step 1:

tan \theta = \frac{opposite side}{adjacentside} .

The value of the tan of a reference angle is calculated using the above formula.

The hypotenuse is the longest side of the triangle is always opposite the right angle of the triangle.

In this triangle, the hypotenuse is the side measuring 5 units.

Step 2:

When the reference angle is A, the opposite side measures 3 units and the adjacent side measures 4 units.

So tan A = \frac{3}{4} .

When the reference angle is C, the opposite side measures 4 units and the adjacent side measures 3 units.

So tan C = \frac{4}{3} .

So both Rhianna and Christopher were right as they took different reference angles i.e. A and C.

7 0
3 years ago
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algol [13]
Answer is 108 pages. 1/3 of an hr is 20 min. 20*3=60 which is an hr. 3+3=6. So then you get 6*18=108.
8 0
3 years ago
What is the value of x in the equation log5 x = 4 jmap?
steposvetlana [31]
To solve for x we proceed as follows:
from the laws of logarithm, given that:
log_a b=c
then
a^c=b
applying the rationale to our question we shall have:
log_5 x=4
hence
5^4=x
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Answer: x=625
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Lemur [1.5K]

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