the 2 equations given are vertical angles which mean they would equal the same.
Set the two equations to equal each other to solve for x:
6(x-2) = 3x+30
Simplify the left side:
6x-12 = 3x+30
Add 12 to eac side:
6x = 3x+42
Subtract 3x from each side"
3x = 42
Divide both sides by 3:
X = 42/3
X = 14
Now you know X, replace x with 14 in the equation for DHG:
DHG = 6(x-2)
6(14-2)
Simplify:
6(12)
Multiply:
72
Angle DHG is 72 degrees.
Answer:
(-1,-9) and (-3,-11) are two pairs whose difference is 8. (-1,-9) and (-3,-11) are two pairs whose difference is 8.
step by step explanation:
subtract and subtract makes addition [- , - = (+) ]
and
addition and subtract makes subtraction = [ + ,- = ( - ) ]
so,
(-1 ) - (-9) = (-1)+ 9
= 8
same with second one
A; any shape with four sides w/ a parallel side across from each other is co soldered a rectangle. It’s not b because quadrilaterals just have to have four sides, not be rectangles, it’s not c because a square has to have equal length sides and not all rectangles do, and it’s not d because a parallelogram only has one set of parallel lines, but a rectangle has to have two.
Answer:THe total energy can be found from the maximum kinetic energy since energy is conserved. Kinetic energy is
K = 1/2 mv^2 and v = dx(t)/dt = (0.2)(2*pi/2)cos((2*pi/2)t)
vmax = 0.2*pi m/s when t = 0 so the total energy is
E = 1/2 mvmax^2 = 1/2 m*0.04*pi^2 = 0.1257 J
Step-by-step explanation: