When two parallel lines are intersected by a transversal, the same-side exterior angles are supplementary. That means that their sum is 180.
Using that logic, if the two roads were parallel, then the sum of their same-side exterior angles will add up to 180. Yet their same-side exterior angles add up to 170 (130 + 40 = 170), hence they can't be parallel.
See the drawing attached below.
Using supplmenatry angles (two angles whose sum of measures add up to 180 or a straight line), we can say that:
m<DIE + m<HID = 18
40 + m<HID = 180
m<HID = 140
Similarly:
m<BHC + m<CHI = 180
130 + m<CHI = 180
m<CHI = 50
Using verticle angles therome, (when two lines intersect, the angles opposite to eachother are congruent, or have the same measure), we can say that:
m<DIE = m<GIH = 40
m<GIE = m<HID = 140
m<CHI = m<AHB = 50
m<BHC = m<AHI = 130
Isolate the variable by dividing both sides by 6:
t=144/6=24
The solution is t=24
Good luck!
Answer:
3x³ + x² - 2
Step-by-step explanation:
a) 3(x squared plus 3x cubed - 2)
x squared = x²
3x cubed = 3x³
3(x squared plus 3x cubed - 2)
= 3(x² + 3x³ - 2)
= 3x² + 9x³ - 6
Rearrange according to power
= 9x³ + 3x² - 6
When the expression is divided by 3, it is equivalent to
3x³ + x² - 2
Answer:
Width of the rectangular field =
Step-by-step explanation:
Perimeter of the field= 
Length of the field= 
Width=?
Perimeter of a rectangular field= 

The Width of the rectangular field is 
Answer: "independent variables" .
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