Answer:
5381.6
Step-by-step explanation:
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Answer:
Step-by-step explanation:
I am assuming that by "interior" angle you do not mean the central angle.
This is a 10-sided polygon, a decagon. That means that there are 10 triangles that can extend from the center, with their sides being equal to the radii of the decagon. If we extract one of these triangles we can find what the interior angle is. The vertex angle measures 360/10 which is 36.
Split this triangle in half from the vertex to the base, creating a right triangle. The vertex angle is also split in half, making this angle (the vertex angle is the one at the top of the triangle) 18 degrees. We already know that one angle inside this right triangle is 90 (definition of a right triangle) and to find the other one, we apply the Triangle Angle-Sum Theorem:
180 - 18 - 90 = 72 degrees. That is the measure of the base angle that is NOT the right angle, obviously.
Answer: Q"(10,10) , R"(35,10), S"(35,25) , T"(10,25)
Step-by-step explanation:
Given: On the blueprint, 1/4 inch equals 1 foot in the actual house.
Therefore, 1 inch of blue print = 4 feet of room.
The coordinates of the room will be [multiply 4 to the coordinates of rectangle]
Q(2,2)→ Q'(8,8)
R(7,2)→R'(28,8)
S(7,5)→S'(28,20)
and T(2,5) →T'(8,20)
The homeowner wants this room to be 25% larger.
Let x be the dimension of current room. then the dimension of new room= x+25% of x
=x+0.25x=1.25x
So for dilate the room by 25% multiply 1.25 on the coordinates of the enlarged room , we get
Q'(8,8)→Q"(10,10)
R'(28,8)→R"(35,10)
S'(28,20)→S"(35,25)
T'(8,20)→T"(10,25)
