Answer:
Triangle B
Step-by-step explanation:
The scale factor is less than 1, so applying that to a geometric figure will make is smaller. Since the smaller triangle is A, it is the result of applying the scale factor to original triangle B.
Since ΔABC ~ ΔEDC, ∠B = ∠D.
Since both triangles appear to be similar, the corresponding angles are the same, and corresponding sides are the same or have the same ratio.
We can write an equation to resemble the problem:
8x + 16 = 120
Solve for x.
8x + 16 = 120
~Subtract 16 to both sides
8x + 16 - 16 = 120 - 16
~Simplify
8x = 104
~Divide 8 to both sides
8x/8 = 104/8
~Simplify
x = 13
Therefore, the answer is 13.
Best of Luck!
In terms of distributive property you factor the problem out to:
16 (1+3)
Do you remember what the sine of an angle is ? If the angle is in a right triangle, then the sine of the angle is (the opposite side) divided by (the hypotenuse). So in this triangle, sin(38) = 24/x . And. X = 24/sin(38) . You can find sin(38) with your calculator or on line, and once you have that number, you're just a simple division away from knowing 'x'.
1: answer is 8a+24b
2: answer is 6x+33y