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Answer: 3
Step-by-step explanation:
Given :
343
We need to write 343 in index form of 7.
343 is the same as , replacing 343 with
, we have
Recall one on the law of Logarithm :
can be written as c
b
So,
can be written as ;
3 7
Also from the laws of Logarithms , a = 1
so , Log_{7}[/tex] 7 = 1
The solution then becomes
3 x 1 = 3
Therefore :
343 = 3
<u>Answer</u>
<h3>12 ) $1000</h3><h3 /><h3>13 ) Y-Intercept = 1000</h3><h3> Slope =<em>Hope this helps! <3</em>
<h2 />Answer:
m∠EGF = 65° and m∠CGF = 115°
Step-by-step explanation:
Given;
∠EFG = 50°
EF = FG
Solution,
In ΔEFG m∠EFG = 50° and EF = FG.
Since triangle is an isosceles triangle hence their base angles are always equal.
∴
Let the measure of ∠EGF be x.
∴
Now by angle Sum property which states "The sum of all the angles of a triangle is 180°."
m∠EFG + m∠FEG + ∠EGF = 180
Hence
m∠EGF = 65°
Also 'The sum of angles that are formed on a straight line is equal to 180°."
m∠EGF + m∠CGF = 180°
65° + m∠CGF = 180°
m∠CGF = 180° - 65° = 115°
Hence m∠EGF = 65° m∠CGF = 115°
Answer:
Step-by-step explanation:
<u>Regular Hexagon</u>
For the explanation of the answer, please refer to the image below. Let's analyze the triangle shown inside of the hexagon. It's a right triangle with sides x,y, and z.
We know that x is half the length of the side length of the hexagon. Thus
Note that this triangle repeats itself 12 times into the shape of the hexagon. The internal angle of the triangle is one-twelfth of the complete rotation angle, i.e.
Now we have , the height of the triangle y is easily found by
Solving for y
The value of z can be found by using
The area of the triangle is
The area of the hexagon is 12 times the area of the triangle, thus
