Answer:
Correct option: (d) 7.
Step-by-step explanation:
Let the number be denoted by <em>x</em>.
The original fraction is:
Add <em>x</em> to the numerator, i.e. 29 and subtract 2<em>x</em> from the denominator, i.e. 62.
The new fraction is:
Now equate the new fraction to and solve for <em>x</em> as follows:
The value of <em>x</em> is 7.
Thus, the correct option is (d).
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
