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2 years ago

Reasons

Mathematics

1 answer:

kenny6666 [7]2 years ago

6 0

Answer:

Reasons 1. Given

2. Angle Addition Postulate

Statements

1. AD|| BC

2. mZ3+m25 mZDAB

3. m24+mZDAB = 180*

4. m24+mZ3+ m25 180°

5. 21 $ 24, 22 & 25

6. mZ1 m24, m22 m25

7. mZ1+m/2+mZ3 180°

3. Linear Pair Postulate

4. Substitution Property of Equality

15.

6. Definition of Congruent Angles

The

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5y(2x−3)=y(x+2)+20 where x=3

Feliz [49]

Here x=3
so, putting 3 instead of x
$5y(2(3)-3)=y(3+2)+20 \\ 5y(3)=5y+20 \\ 15y-5y=20 \\ 10y=20 \\ y=20/10=2$

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2 years ago

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if all sides of the figure at the top right are the same length (8x-1) what is the figures perimeter?

PSYCHO15rus [73]

I believe 64x-8 is the correct answer.

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3 years ago

A farmer Has 900 yards of fencing to enclose a rectangular pasture for her goats. Since one side of the pasture borders a river,

horsena [70]

Answer:

Length, l=450 yards

Width, b=225 yards

Step-by-step explanation:

Let the long side be x and since the length is twice the width, then the width is half of that length hence 0.5x. Since we only have three parts to fence as one long side doesn't require fencing, then the perimeter will be given by x+0.5x+0.5x=2x=900 yards

X=900/2=450 yards for long side.

The short side is 0.5x hence 0.5*450=225 yards

In conclusion, the long side is 450 yards while short side is 225 yards.

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3 years ago

Points (-1,2), (-4,7), (-3,1), (-2,4) lie in ______ quadrant

dalvyx [7]

Answer:

they lie in 2nd quadrant

hope it helps

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2 years ago

Find a solution to the linear equation −2x−2y=8 by filling in the boxes with a valid value of x and y.Provide your answer below:

inna [77]

Given

$-2x-2y=8$

To find a solution for the linear equation, the first step is to write the equation in slope-intercept form:

-Pass the x-term to the right side of the equation by applying the opposite operation to both sides of the equal sign:

$\begin{gathered} -2x+2x-2y=8+2x \\ -2y=2x+8 \end{gathered}$

-Divide both sides by -2:

$\begin{gathered} \frac{-2y}{-2}=\frac{2x}{-2}+\frac{8}{-2} \\ y=-x-4 \end{gathered}$

Once you have expressed the equation of the line in slope-intercept form, replace it with any value for x and calculate the corresponding value of y, for example, x=2

$\begin{gathered} y=-(2)-4 \\ y=-2-4 \\ y=-6 \end{gathered}$

One solution for the linear equation is x=2 and y=-6, you can check the solution by replacing the values on the original equation, with both values the result should be 8:

$\begin{gathered} -2x-2y \\ -2\cdot2-2\cdot(-6) \\ -4+12=8 \end{gathered}$

As you can see the values are a valid solution for the linear equation.

So the solution is:

$-2(2)-2(-6)=8$

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1 year ago