If mVQ=(y+7), mQR=(x+11), mRS=(3y),and mST=65,findthevaluesofxandy

The solution to the equation 2(12 - 8x) = x - 11x is x = -4.

To solve the equation 2(12 - 8x) = x - 11x, we can simplify and solve for x by following these steps:

Distribute the 2 to the terms inside the parentheses:

24 - 16x = x - 11x

Combine like terms on the right side of the equation:

24 - 16x = -10x

Bring all the x terms to one side of the equation:

-16x + 10x = -24

-6x = -24

Divide both sides of the equation by -6 to isolate x:

x = 24 / 6

Simplifying the division, we get:

x = 4

Therefore, the solution to the equation 2(12 - 8x) = x - 11x is x = -4.

By performing the necessary operations of distribution, combining like terms, and solving for x, we have determined that -4 satisfies the equation. Substituting x = -4 back into the original equation confirms that both sides are equal.

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Answer:

Step-by-step explanation:

Since X is the midpoint, we have that WX=XY and VX=XZ (given in the statement)

If we label the five points W,X,Y,V and Z  and draw line segments WV and ZY.

We have two triangles.

 The angle zxy = wxv since opposite angles are equal.

Given the above, we have 2 congruent triangles  (side-angle-side)

Since the two triangles are congruent, then the sides opposite the angle x (WV and ZY) must be equal.

The statement establishes that point X is the midpoint of segment WY, and VX is equal to XZ.

How to determine this

By labeling the five points W, X, Y, V, and Z and connecting WV and ZY, we form two triangles. These triangles share the angle ZXY with the opposite angles being equal.

Therefore, we have congruent triangles, proven by the side-angle-side congruence criterion. Consequently, the sides opposite angle X, namely WV and ZY, must be equal in length. This conclusion stems from the congruence of the triangles, demonstrating that geometric relationships can be deduced through congruence principles in triangles.

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Answer:

1 month

Step-by-step explanation:

249 is the amount she spends for buying the kitten, (299-50=249) which she only has to pay once.

20 is the amount she has to spend every month, the rate of change.

The problem can be modeled with the general equation:

y = 20x + 249

In this equation, x the the time in months and y is the amount of money spent.

Substitute 250 for y.

y = 20x + 249

250 = 20x + 249    <= isolate x to get the number of months

1 = 20x

x = 1/20

Carol will only spent money every month, not for 1/20 of a month.

It will only take Carol 1 month to spent $250.

Check answer:

Substitute x for 1

y = 20x + 249

y = 20(1) + 249

y = 269

269 is more than 250 already.

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Answer:

-0.7

its easy hehe just - 1

Answer:

2.99 cm²

Step-by-step explanation:

(The "..." at the end of the decimal means that number is repeating)

The perimeter of a rectangle is the length around the shape. The equation for a rectangle's perimeter is L + W × 2, with L and W representing length and width, respectively (You multiply the length and width by two because the shape is four-sided, so it has two length sides and two width sides). To find the area of the rectangle, you need to know the individual length and width, so you'll solve for that first.

Since you're only given the perimeter and you know the length is double the width, you'll need to work backwards with this equation. To do this, first divide the perimeter (7 , also written as 7.33...) by 2; this equals 3 , also written as 3.66...

Next, you can find the length and width by determining what two numbers multiply to equal 3.66..., with one number being two times larger than the other number. The way I tend to think of this is that if one number is double the other, then the smaller number is one third of the sum of the two numbers (since the smaller number represents one part of the sum, and the other represents two parts of the sum, which is double the smaller number).

Since the length and width combine to be the divided perimeter, 3.66..., that means two thirds of 3.66... is the longer side (the length), and then the one third of 3.66... is the shorter side (the width). This means the length is 2.44... and the width is 1.22...

Finally, you can solve for the perimeter by dividing the perimeter by two and then subtracting the length squared. The written equation looks like this:

A = P - L²

(A = area, P = perimeter, L = lenth)

Now just insert the numbers into the equation and solve!

The area of the rectangle is 2.99cm²