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
Answer:
2x - 9
Step-by-step explanation:
7x - (9 + 5x) < distribute the - into the parentheses to get rid of them
7x - 9 - 5x < combine like terms
7x - 5x = 2x
-9 stays as it is as there are no other terms to combine it with
the answer is 2x - 9
For this case we have by definition that the area of a parallelogram is given by:
Where:
b: It's the base
h: It's the height
According to the data we have:
Substituting in the formula:
The area of the parallelogram is
Answer:
+ 3x + 5
-
+ 6x + 5
-----------------------------------------
4x - 3 + 0
Answer:
9.6 or round it to 10
Step-by-step explanation:
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