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2 years ago

4.

Mathematics

2 answers:

valentinak56 [21]2 years ago

6 0

Answer:

Step-by-step explanation:

Slope- intercept form

y= mx +c, where m is the slope and c is the y-intercept.

The given equation is in the slope-intercept form and hence we can easily identify its slope by looking at the coefficient of x.

y= 2x +7

slope= 2

Parallel lines have the same slope, thus the slope of the parallel line is also 2.

Substitute m= 2 into the general equation:

y= 2x +c

Substitute a pair of coordinates into the equation to find the value of c:

When x= 3, y= 11,

11= 2(3) +c

11= 6 +c

c= 11 -6

c= 5

Therefore the equation of the line is y= 2x +5.

Hatshy [7]2 years ago

5 0

I think it would be A: y=2x+5

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HELP ASAP!!!!!!!!PLEASE Solve for x. Please explain. Thank you

Stella [2.4K]

The values are $x=8$ and $y=10$

Explanation:

From the figure, we can see that the two quadrilaterals are similar.

Thus, by the property of quadrilateral, for similar quadrilaterals, their corresponding angles and sides are congruent. Thus, we have,

∠D = ∠S, ∠E = ∠P, ∠G = ∠R and ∠F = ∠Q

Also, GF = QR and DE = PS

Where QR = $2x-4$ and ∠D = 102°, ∠G = 84° and ∠F = 68°, ∠Q = $(6y+x)$ °

Hence, to determine the value of x for the side QR, we have,

Equating the values in GF = QR,we get,

$12=2x-4\\16=2x\\8=x$

Thus, the value of x is 8.

Substituting x in the angle Q to determine the value of y.

Thus, we have,

∠F = ∠Q

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Thus, the value of y is 10.

Hence, The values are $x=8$ and $y=10$

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3 years ago

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3 years ago

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borishaifa [10]

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Step-by-step explanation:

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3 years ago

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Evgesh-ka [11]

Answer:

$a) x=15\\b) AD\ is\ not\ parallel\ tp BC$

Step-by-step explanation:

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$Hence,\\As\ Angle\ A\ and\ Angle\ B\ are\ co-interior\ angles, if\ they\ are\\ supplementary\ then\ AD \parallel BC.\ Lets\ check\ that\ out.\\Hence,\\Angle\ A=2x=2*15=30\\Angle\ B=90\ [Given]\\Hence,\\As\ 90+30\neq 180,\\Angle\ A +Angle\ B\neq 180\\Hence,\\As\ Angle\ A and\ Angle\ B\ are\ not\ supplementary, AD\ will\ not\ be\ parallel\ to\ CB.$

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3 years ago

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SpyIntel [72]

Answer:

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3 years ago