Answer:
x = 100°
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
here n = 7, hence
sum = 180° × 5 = 900°
Sum the given interior angles and equate to 900
x + 155 + 116 + 135 + 135 + 116 + 143 = 900
x + 800 = 900 ( subtract 800 from both sides )
x = 100°
please see in the photo for the answer , thanks :-)
Two sides are 34 and 14.
The third side can't be longer than (34 + 14) = 48, because the 34 and the 14
together could not reach from one end of it to the other.
The third side also can't be shorter than 20, because the 20 and the 14 together
could not reach from one end of the 34 to the other.
So 18 doesn't work. (18 + 14) = 32 ... they couldn't cover the 34 .
FED is 5/4 times bigger than CBA. So, 44×1.25 is 55. 40×1.25 is 50. The perimeter is 125
Answer:
Step-by-step explanation:
This is a 45°-45°-90° triangle. The two legs are the same length, and the hypotenuse is that length times the square root of two:
Therefore, the value of x is 11.
You can double-check using the sine ratio:
Insert the values:
Insert the equation into a calculator:
:Done
*It's important to know that, when working with trigonometry ratios, the hypotenuse is never considered the adjacent or opposite side, and the 90° angle is never used in the ratios.
