-5x+10x+3=5x+6 Along with an explanation please.

1 answer:

7 0

There is no solution to this equation

X≠0

The answer would be 3=6 which is an invalid answer therefor an equation with no solution.

-5x+10x+3=5x+6

Combine like terms first

5x+3=5x+6

After this whether you make it 10x=9 that’s still an invalid answer but if you subtracted 5x on both sides it’d be 3=6

Therefore x≠0

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Negative 1 over 2 x + 1 = −x + 8

Damm [24]

Answer:

Step-by-step explanation:

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3 years ago

In the figure, VW || YZ. Find the value of x, and the measure of YA and WA.

svetoff [14.1K]

Step-by-step explanation:

because VW || YZ, the 2 triangles are similar.

this is given by the rules of equal angles of intersecting lines with parallel lines. Z to V and Y to W would be such intersecting lines.

and therefore, the angle at W is the angle at Y, the angle at V is the angle at Z. and therefore both angles at A are equal.

so, for similar triangles the scaling factor between corresponding pairs of sides is the same for all sides.

e.g. the same scaling factor that converts 7.2 to 12, converts then also x to x+4.

7.2 × f = 12

f = 12/7.2 = 12/ 72/10 = 120/72 = 10/6 = 5/3

x × 5/3 = x + 4

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2x = 12

x = 6

A to Y = x = 6

W to A = x + 4 = 6 + 4 = 10

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2 years ago

Allison claims that the (triangle)ABQ is similar to (triangle)RPQ, given that AB and PR are parallel. Which of Allison's claims

S_A_V [24]

I draw the two triangles, see the picture attached.

As you can see, angle 1 and 2 are vertically opposite angles because they are formed by the same two crossing lines and they face each other.

Angles ABQ and QPR, as well as angles BAQ and QRP, are alternate interior angles because they are formed by two parallel lines crossed by a transversal, and they are inside the two lines on opposite sides of the transversal.

Hence, Allison's correct claims are:
1 = 2 because they are vertically opposite angles.
BAQ = QRP because they are alternate interior angles.

Therefore Allison, in order to prove her claim, can use the AA similarity theorem: if two angles of a triangle are congruent to two angles of the other triangle, then the two triangles are similar.