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Answer:
The value of x is 9°
Step-by-step explanation:
The given parameters are;
ΔUVW with side UW extended to X
m∠UVW = (3x + 4)°
m∠VWX = (8x -12)°
m∠WUV = (x + 20)°
We have that m∠UVW + m∠WUV + m∠VWU = 180° (Sum of the interior angles of a triangle theorem)
∴ m∠VWU = 180° - (m∠UVW + m∠WUV)
Also we have that m∠VWX and m∠VWU are supplementary angles, (The sum of angles on a straight line)
∴ m∠VWX + m∠VWU = 180° (Definition of supplementary angles)
m∠VWU = 180° - m∠VWX
∴ m∠VWX = (m∠UVW + m∠WUV)
Substituting the values, gives;
(8x -12)° = (3x + 4)° + (x + 20)°
8x - 3x - x = 4 + 20 + 12
4x = 36
x = 36/4 = 9
x = 9°.
We know that
GL=HL/2---------> GL=8/2----> GL=4
in the right triangle FGL
FL=5
GL=4
FG=?
Applying the Pythagoras theorem
FL²=GL²+FG²-----> FG²=FL²-GL²-----> FG²=5²-4²----> FG²=9
FG=3
FG is the radius of the smaller circle
and
FM also is the radius of the smaller circle
so
FM=FG--------> FM=3
the answer is
FM is 3
Step-by-step explanation:
-6+8=2 by -6 will cut from 8 and remain 2.
2+8=10 by same way 8 will added to 2 and got 10.
I hope it will help you
Answer:
1) 1050 ft squared
2) 200 yards
Step-by-step explanation:
Hope this helps! Pls give brainliest!