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Phoenix [80]
3 years ago
14

Which is a correct two-column proof? Given: <H and <X are supplementary. prove: l || n

Mathematics
2 answers:
andriy [413]3 years ago
8 0

Answer:

option-B

Step-by-step explanation:

we are given

<H and <X are supplementary angles

so,

<H+<X=180

we know that

<H and <E are vertically opposite angles

so, they must be equal

<H=<E

we can plug it

<E+<X=180

It means that angle(E) and angle(X) are supplementary angles

and these two angles are same side interior angles

By using same side interior angles converse

so, line(l) and line(n) must be parallel

so, option-B

Arisa [49]3 years ago
3 0

Answer:

Option (B) is correct

Step-by-step explanation:

∠H and ∠X are supplementary as given, ∠H + ∠X = 180

And, ∠H = ∠E ( Vertical opposite angles are equal )

So, by substitution ∠E + ∠X = 180  

So, the sum of same side interior angles ∠E and ∠X is 180 therefore, by using converse of same-side Interior angles theorem we get  l║m.

The correct option is B


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Solve the equation <br><br> 3x-1/2y=2
poizon [28]

Answer:

Step-by-step explanation:

Without a second equation relating x and y, we can solve 3x - 1/2y = 2 ONLY for x in terms of y or for y in terms of x:

x in terms of y:    Multiply all three terms of 3x - 1/2y = 2 by 2, to eliminate the fraction:  6x - y = 4.  Now add y to both sides to isolate 6x:  6x = 4 + y.

Last, divide both sides by 6 to isolate x:

x = (4 + y)/6

y in terms of x:    

y = 6x - 4

If you want a numerical solution, please provide another equation in x and y and solve the resulting system.

4 0
3 years ago
Which fractions are equivalent to 15/20
Digiron [165]

Answer:

\frac{3}{4}, \frac{30}{40}, \frac{45}{60}, \frac{60}{80}....e.t.c are all equivalent fractions

Step-by-step explanation:

For the answer you need to know bout equivalent fractions

TO find equivalent fractions you have to multiply the numerator and denominator by the same amount

E.x.\frac{15}{20}=\frac{(15)(2)}{(20)(2)} =\frac{30}{40}

Therefore \frac{30}{40} is an equivalent fraction

8 0
2 years ago
Simplify 10x-4-2x+19
borishaifa [10]
8x - 23 because you answer them until you have it all simplified
7 0
2 years ago
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4vir4ik [10]
To write 0.1 as a percentage you have to multiply it by 100 and then put the % sign at the end of it.

0.1 X 100 = 10%
5 0
3 years ago
Given that lines b and c are parallel, and the m&lt;1=4x-30 and m&lt;5=2x+50. Find the measure of angle 1 and measure of angle 7
AfilCa [17]
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-2x -2x

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180-130=50°

Angle 7=50°

5 0
2 years ago
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