Answer:
x = 42.5
Step-by-step explanation:
A triangle inscribed inside of a circle using the diameter of the circle as it's hypotenuse is a right triangle ( a 90 degree triangle ) where the angle opposite of the hypotenuse is the 90 degree angle ( angle C )
Hence angle C = 90
If angle C = 2x + 5
Then 2x + 5 = 90
Notice that we just created an equation that we can use to solve for x
We now solve for x algebraically
2x + 5 = 90
Step 1 subtract 5 from both sides
2x + 5 - 5 = 90 - 5
Outcome: 2x = 85
Step 2 divide both sides by 2
2x/2 = 85/2
Outcome: x = 42.5
3x⁶y² + 57x⁵y³ + 252x⁴y⁴
= 3x⁴y²(x² + 19xy + 84y²)
= 3x⁴y²(x² + 12xy + 7xy + 84y²)
= 3x⁴y²(x(x + 12y) + 7y(x + 12y))
= 3x⁴y²(x + 12y)(x + 7y)
1.41 x 10^7 you move the decimal over to the left until you have a number between 1-9
Answer:
Option A.
Step-by-step explanation:
From the figure attached,
Given : ΔABC ~ ΔDEC
By the property of similarity,
"Corresponding sides of the similar triangles are proportional"

Since, 

6x = 42(32 - x)
6x = 1344 - 42x
6x + 42x = 1344
48x = 1344
x = 
x = 28 units
Therefore, Option (A). x = 28 units will be the answer.
LCM = 1260
The lowest common factor is 1260
Hope this helps! :)