Answer:
Step-by-step explanation:
If angles C and B have equal degrees then the side AC is also equal to side AB in length and you can make their equations equal as well and solve for X.
2x+16=7x+6
get X's all on same side and the constants all on the other side,
-2x +2x+16=7x+6+-2x
The X's on the left cancel out.
16=5x+6
-6+16=5x+6+-6
add -6 to each side. On the right the 6 is now cancelled out.
10=5X
divide each side by 5 to cancel out the 5
10/5= 5X/5
2=X . ANSWER
Answer:
The first step to do is trying to find the closest perfect square less than 845, and the closest perfect square more than 845.
In this case 29^2 (841) is the closest perfect square less than 845, and 30^2 (900) is the closet perfect square more than 845.
In conclusion we will say that 29 < √ 845 < 30.
Hope it helps you.
Answer:
720°, 2340°, 180°
Step-by-step explanation:
Look at the attached image of a regular hexagon. I drew all possible lines from a vertex to other vertices (AC, AD, AE). Drawing in all those diagonals splits the hexagon into 4 triangles, and adding up the measures of all the triangle angles would account for all the interior angles of the hexagon.
♦ Four triangles have an angle sum of 180° x 4 = 720° (180° in each triangle).
See attached image2 to see what happens in an octagon. There are six triangles formed, so the total of all interior angle measures is 6 x 180° = 1080°.
What about a 15-sided regular polygon? How many triangles would be formed by putting in all the diagonals coming from one vertex? There will be 2 fewer triangles than the number of vertices, 13.
♦ The total of interior angle measures in a 15-gon is 13(180°) = 2340°
♦ A polygon with 3 sides is a single triangle; interior angle sum = 180°
The area of the square is 9 in^2
The side of a square is the square root of the area.
Side of square = √9 = 3 inches.
The side of the square is the diameter of the inscribed circle.
Circumference of a circle is PI x diameter.
Circumference of inscribed circle = 3.14 x 3 = 9.42 inches
The diameter for the circumscribed circle would be the diagonal of the square which is 3√2 = ( Side length x √2) ≈ 4.2426
The circumference = 3.14 x 3√2 = 13.321
Find the ratio between the two circles:
Circumscribed / inscribed =
13.321 / 9.42 = 1.41
Answer: 2
Step-by-step explanation:
Given
The polynomial is 
is divided by 
According to the remainder theroem
Put 
in the polynomial to get the remainder
So, we get the remainder 2.
