Answer:
x = 27
Step-by-step explanation:
Since AC and DE are parallel lines, then
∠ BAD = ∠ EDF= 2x ( corresponding angles )
The sum of the 3 angles in Δ BAD = 180°, thus
2x + 2x + 72 = 180, that is
4x + 72 = 180 ( subtract 72 from both sides )
4x = 108 ( divide both sides by 4 )
x = 27
Answer:
-1/3
Step-by-step explanation:
Take the ratio of the corresponding sides to get the scale factor so for this equation let's use the hypotenuse.
The length of the hypotenuse of the larger triangle is 12 units and the smaller triangle's hypotenuse is 4 so 4/12 is the scale factor.
However 4/12 can be simplified down to 1/3.
Since the smaller triangle has been flipped upside down the scale factor is negative so the final answer is -1/3
Answer:
9586.232772
$4000×1.06( to the power of 15)=9586.232772
Answer:
5x4°x7
Step-by-step explanation:
5x°+2x-1 when x =4
5x4°+2x4-1
5x4°+8-1
=5x4°x7
Answer:

Step-by-step explanation:
Given


Required
The explicit formula
First, calculate 
Set n=2; So:


Substitute -25 for 


Calculate the common difference (d)



So, the nth term is:


Open bracket

Collect like terms

