Simplify the expression -7/9 - 5/10

Answers:

1. -7/9
2. -23/18
3. 12/19
4. 23/18

We can sum two fractions if they have the same denominator, so we have to rewrite both fractions so that they'll have the same denominator.

We can generate equivalent fractions by multiplying both numerator and denominator by the same number.

So, we have

Similarly, we have

Now we can sum the fractions:

X = 115
y = 115
z = 25

If AB is parallel to CD and CD is parallel to EF then AB is parallel to EF. If EA is perpendicular to AB, then it is also perpendicular to EF. This means that <AEF = 90°. <BEF and <AEB are complementary angles, meaning they add up to 90°. <BEF = 65°, so:
<AEF - <BEF = <AEB (this solves z)
90° - 65° = 25°
z = 25

EA is perpendicular to AB. This means that <EAB = 90°. A triangle is 180°, so:
<ABE = (180° - <EAB - <AEB(value z))
<ABE = 180° - 90° - 25° = 65°
this is the value for <CDE as they are similar triangles. This means that x and y have the same value.

<ABE and <x are supplementary angles, as are <CDE and <y. This means that the sum of the two is 180°. To find x:
<x = 180° - <ABE
<x = 180° - 65° = 115°
x = 115
x and y have the same value, so y = 115

Therefore,
x = 115
y = 115
z = 25