Answer:
Dilation factor is 2/3
Step-by-step explanation:
Look at both flat lines (M to S and M' to S') and find their lengths.
M to S = 9 units
M' to S' = 6 units
The triangle has gotten smaller so the dilation factor is a fraction
new/original = 6/9 = .66666666 or 2/3
Dilation factor is 2/3
<h3>Given:</h3>
<h3>To find:</h3>
The size of the unknown angle "x"
<h3>Solution:</h3>
The given polygon is a Pentagon so the sum of interior angle will be,
n means the number of sides
Let's substitute the values according to the formula.
Now, we can find the sum of one interior angle.
n means the number of sides.
Let's substitute the values according to the formula.
<u>Therefore</u><u>,</u><u> </u><u>the</u><u> </u><u>size</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>unknown</u><u> </u><u>angle</u><u> </u><u>"</u><u>x"</u><u> </u><u>is</u><u> </u><u>1</u><u>0</u><u>8</u><u>°</u>
The figure is the right triangle DEF.
In it, E is the 90° angle, D is the corner over E (this is, DE is the vertical segment or height from the base) and F is the corner to the right of E (f, is the angle and EF is the horizontal segment or base of the triangle).
Then EF is the adjacent leg to the angle f, DE is the opposite leg to the angle f, and DF is the hypotenuse of the triangle.
Given that the angle f is 45°, you know that the triangle is isosceles (45-45-90) and then the two legs have the same length and you can use Pytagorean theorem:
DF^2 = x^2 + x^2 = 2x^2 => x^2 = (DF)^2 / 2
Taking square roots from both sides:
=> x = DF / √2 = 22 / √2 = [22√2] / [(√2)(√2)] = [22√2] / 2 = 11√2
Remember, both legs have the same length.
Answer: 11√2
I think that the answer is 2, because if you multiply two by each factor in the original photograph then you get the size of the new photograph.
