Answer:
C. 115°,65°
Step-by-step explanation:
Make the equation for ∠A equal the equation for ∠C: 100+5x=106+3x. You will find x=3. So you plug that into the equations for ∠A and ∠C. And you know that ∠A and ∠C both equal 115°. You repeat these steps for angles B and D and they equal 65°. Ya welcome.
8+8+10+2+2+(8-2)=36
The perimeter is 36ft
(5) Angle ADC is the sum of angles ADB and BDC.
(6) Yes, because lines AG and EC form two pairs of vertical angles, including ADC and EDG, as well as ADE and CDG.
(7) Angle HJK is clearly a right angle, and a right angle has measure 90°.
We have that
tan x=5
we know that
tan x =sin x/ cos x
sin x/ cos x=5------> squaring-----> sin² x/cos² x=25
remember that
sin² x+cos² x=1-----> cos² x=1-sin² x
substitute
sin² x/[1-sin² x]=25
sin² x=25-25*sin² x
26*sin² x=25
sin² x=25/26
sin x=5/√26
cos² x=1-(5/√26)²----> 1-(25/26)----> 1/26
cos x=1/√26
the answers are
sin x=5/√26
cos x=1/√26
Answer:
5/12x
Step-by-step explanation:
x+2/4x^2+5x+1 *4x+1/4x^2-4
x+2/16x+5x+1*4x+1/16x-4
x+2/21x+1 (4x+1/16x-4)
-x . -x .
2/20x+1 (4x+1/16x-4)
-1 . -1 .
20x(4x+1/16x-4)
(80x+20x/320x-80x)
100x/240x
5/12x