Answer:
The angle 6 measures 54 degrees
Step-by-step explanation:
Angle 6 is congruent to angle 7 ("-2x+34") as it is an opposite angle in straight line intersection. But angle 6 is congruent to angle 2 (-9x-36) due to the two horizontal lines being parallel. So we can write the following equality to determine the value of x:
-2x + 34 = -9x -36
7x = -70
==> x = -10
Now we can answer the question: the angle 6 is
-2x + 34 = -2(-10)+34 = 54 degrees
Answer:
20
Step-by-step explanation:
9514 1404 393
Answer:
47.71
Step-by-step explanation:
Two "special" triangles are involved.
ΔSWR is a 30°-60°-90° right triangle, so will have sides in the ratio 1 : √3 : 2.
ΔUVW is a 45°-45°-90° right triangle so will have sides in the ratio 1 : 1 : √2.
For ΔSWR, the side SW is given as 6, so the other sides are ...
WR = 6√3
RS = 2(6) = 12
For ΔUVW, the side WU is given as 8, so the other sides are ...
UV = VW = 8/√2 = 4√2
Then the perimeter of the figure is ...
P = RS +ST +TU +UV +VW +WR
P = 12 +8 +6 +4√2 +4√2 +6√3 ≈ 47.71
Given:
The equation is:
To find:
The missing value.
Solution:
We have,
...(i)
Taking left hand side, we get
Taking 3 common, we get
...(ii)
On comparing (i) and (ii), we get
Missing value = 3
Therefore, the missing value in the given equation is 3.
