Step-by-step explanation:
the triangle is an isosceles triangle hence the base angles are equal
sum of angles in a triangle is 180°, therefore, the top angle =180-(62+62)
the top angle =56°
h°= the top angle because alternate angles are equal
hence, h=56°
Answer: Because of gaps between the vertex of Pentagons and hexagon.
Step-by-step explanation:
The Pentagon has 5 sides and 5 vertex angles. While hexagon has 6 sides and six vertex angles
The sum of the angle of polygon is equal to ( n - 2 )180
Sum of the angle of a Pentagon will be: (5 - 2)×180 = 540
Each vertex angle of a Pentagon = 540/5 = 108
Sum of the angle of hexagon will be: (6 - 2)×180 = 720
Each vertex angle of a hexagon =
720/6 = 120
To interlock Pentagon and hexagon, the sum of the combination of vertex angles of both must be equal to 360 ( sum of the angles at a point = 360)
Since there is no number of combinations that can be equal to 360, there will surely be a gap.
Answer:

Step-by-step explanation:
The equation of a circle in standard form is

You are given

In order to put the equation in standard from, we need to complete the square. Since there is no y term, the y part is simply y^2, and there is no need to complete the square for y. For x, we do have an x term, so we must complete the square in x.
Start by grouping the x terms and subtracting 45 from both sides.

Now we need to complete the square for x.

The number that completes the square will go in the blank above, and it will also be added to the right side of the equation.
To find the number you need to add to complete the square, take the coefficient of the x term. It is -18. Divide it by 2. You get -9. Now square -9 to get 81. The number that completes the square in x is 81. Now you add it to both sides of the equation.


Answer: 
Answer:
<h2>BC = 25</h2>
Step-by-step explanation:
It's an isosceles triangle (congruent angles ∠C ≅ ∠B).
Therefore AC = AB.
We have the equation:
<em>subtract 1 from both sides</em>
<em>subtract 2x from both sides</em>
<em>divide both sides by 2</em>

Substitute the value of <em>x</em> to the expression BC = 3x - 8:
