Answer:
∠RST = 120°
Step-by-step explanation:
We assume the positions of the lines and angles will match the attached figure. The angle addition theorem gives a relation that can be solved for x, then for the value of angle RST.
∠RSU +∠UST = ∠RST
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78° + (3x -12)° = (6x +12)° . . . . . substitute given values into the above
54 = 3x . . . . . . . . . . . . . . . . divide by °, subtract 3x+12
108 = 6x . . . . . . . . . . . multiply by 2
120° = (6x +12)° = ∠RST . . . . add 12, show units
The measure of angle RST is 120 degrees.
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<em>Additional comment</em>
Note that we don't actually need to know the value of x (18) in this problem. We only need to know the value of 6x.
Answer:
.40 x = 35 equation
x = 87.5
Step-by-step explanation:
Of means multiply and is means equals
40% * x = 35
Change percent to decimal form
.40 x = 35
Divide each side by .40
.40x/.40 = 35/.40
x = 35/.40
x =87.5
2x+5y=21, x+y=3
y=3-x
2x+5y=21
2x+5(3-x) =21
2x+15-5x=21
2x-5x+15=21
-3x+15=21
-3x=21-15
-x=6/3
-x=2
x=-2
Answer:
Step-by-step explanation:
hello :
the point-slope formula is :
y - y_1 = m(x - x_1) the point is A(x_1 , y_1 ) , m : the slope
in this exercice : x_1 = 6 y_1 = 8 m = -2
so : y - 8 = -2(x - 6) ...an equation for this line .
Assuming that the letters can only be capitals or non-capitals then:
(26P2)*(9P1)*4 = 23400 possible combanations