Please help!
The following is an isosceles trapezoid, find WX

Please Help!The Following Is An Isosceles Trapezoid, Find WX

Answers

Answer 1

Answer:

WX=33

Step-by-step explanation:

Isosceles Trapezoid

The base angles of an isosceles trapezoid are congruent. The base angles of the trapezoid shown in the figure are P and Q, and S and R.

Midsegment Theorem: The length of the midsegment of a trapezoid is the average of the lengths of the bases.

Being W and X the midsegments of PS and QR respectively, then WX is the midsegment of PQ and SR, thus

[tex]\displaystyle WX=\frac{PQ+SR}{2}[/tex]

[tex]\displaystyle WX=\frac{27+39}{2}=\frac{66}{2}=33[/tex]

WX=33


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Identify the set of ordered pairs that represents y as a function of x.

{(0, 0), (1, 1), (2, 3), (3, 3)}

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{(0, 0), (0, 1), (2, 3), (3, 4)}

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Answers

Answer:

The first one because every x value can only have one y value

Step-by-step explanation:

The set of ordered pairs that represents y as a function of x are; {(0, 0), (1, 1), (2, 3), (3, 3)}

We must be aware that, dependent variable, y can only be a function of x if;

For every value of x, there must only be one value of y.

In essence,

For case 1:

y is a function of x, because for every value of x, there's only one value of y.

For Case 2:

y is not a function of x, because there's two values of y for a value of x.

For Case 3:

y is not a function of x, because there's two values of y for a value of x.

For Case 4:

y is not a function of x, because there's two values of y for a value of x.

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A partial proof was constructed given that MNOP is a parallelogram.

Which statement should fill in the blank in the last line of the proof?

A. angle M is supplementary to angle O.


B. angle N is supplementary to angle P.


C. angle M is congruent to angle P


D. angle N is congruent to angle P.

Answers

Answer:

B

Step-by-step explanation:

B. angle N is supplementary to angle P

Answer:

B

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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The vertices of a triangle are, A (2, 5) B (1, 2) C (3, 1),. Find the coordinates of the image after a
reflection in the x-axis, and then a rotation 90° counterclockwise about the origin.

Answers

Answer:

The images are;

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Step-by-step explanation:

Firstly, we want to reflect across the x-axis

When we reflect a point (x,y) over x-axis, we get (x,-y)

So;

A ( 2,5) becomes (2,-5)

B (1,2) becomes (1,-2)

C ( 3,1) becomes (3,-1)

Then we proceed to rotate 90 degrees counterclockwise about the origin

Here we have;

(x,y) becomes (-y,x)

(2,-5) becomes (5,2)

(1,-2) becomes (2,1)

(3,-1) becomes (1,3)

Answer:

A’ (5,2) B’ (2,1) and C’ (1,3)

Step-by-step explanation:

Firstly, we want to reflect across the x-axis

When we reflect a point (x,y) over x-axis, we get (x,-y)

So;

A ( 2,5) becomes (2,-5)

B (1,2) becomes (1,-2)

C ( 3,1) becomes (3,-1)

Then we proceed to rotate 90 degrees counterclockwise about the origin

Here we have;

(x,y) becomes (-y,x)

(2,-5) becomes (5,2)

(1,-2) becomes (2,1)

(3,-1) becomes (1,3)

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

31.41 that the answer

Each of the​ same-side lengths is 15.67.

What is perimeter?

It is the sum of length of the sides used to made the given figure.

We have been given that the perimeter of a​ 6-sided figure is 67.74 meters. Two of the sides have the same length. And the sum of the other 4 side lengths is 36.4 meters.

Let the same side be a.

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Answers

Answer:

1.955 is bigger

Step-by-step explanation:

1.955>1.59

Answer:

1.955

Step-by-step explanation:

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Answers

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Step-by-step explanation:

Question 11: 2/9 + x = 1

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The graph below shows the relationship between the number of hours and the
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Y
16
15
14
13
12
11
10
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2
2
3
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Answers

Answer:

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Step-by-step explanation:

Dustin rides his bike for 176.25 miles in three weeks. He averaged 11.75 miles per hour each time he rode. How many hours did it wake him to ride 176.25 miles?

Answers

176.25÷11.75=15 hours

5y - 4x = -7
2y + 4z = 14
Solve for x and y

Answers

Answer:

et's solve for x.

5y−4x=−72y+4z

Step 1: Add -5y to both sides.

−4x+5y+−5y=−72y+4z+−5y

−4x=−77y+4z

Step 2: Divide both sides by -4.

−4x

−4

=

−77y+4z

−4

x=

77

4

y−z

Answer:

x=

77

4

y−z

Let's solve for y.

5y−4x=−72y+4z

Step 1: Add 72y to both sides.

−4x+5y+72y=−72y+4z+72y

−4x+77y=4z

Step 2: Add 4x to both sides.

−4x+77y+4x=4z+4x

77y=4x+4z

Step 3: Divide both sides by 77.

77y

77

=

4x+4z

77

y=

4

77

x+

4

77

z

Answer:

y=

4

77

x+

4

77

z

Step-by-step explanation:

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Step-by-step explanation:

The table below shows the average annual salary of the workers at the Pearson
Corporation over the course of time since 1980. Let x represent the number of years
since 1980 with x = 0
representing the year 1980. Let y represent the average annual
salary of the workers. Complete the slope-intercept form of the equation for the line of
best fit below with the appropriate value for the slope.

Answers

Answer:

[tex]y = 1164x + 14242[/tex]

Step-by-step explanation:

From the question, we understand that

x = 0, when year = 1980

First, we need to determine the slope of the table.

Pick any two corresponding values of year and average salary

year = 1982, average salary = 16570

year = 2002, average salary = 39850

Convert years to x values

year = 1982 implies that x = 2 i.e. 1982 - 1980

year = 2002 implies that x = 22 i.e. 2002 - 198-

So, we have:

[tex](x_1,y_1) = (2,16570)[/tex]

[tex](x_2,y_2) = (22,39850)[/tex]

Determine the slope.

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{39850 -16570}{22 - 2}[/tex]

[tex]m = \frac{23280}{20}[/tex]

[tex]m = 1164[/tex]

The equation is calculated using:

[tex]y - y_1 = m(x - x_1)[/tex]

Where

[tex]m = 1164[/tex]

[tex](x_1,y_1) = (2,16570)[/tex]

So,

[tex]y - y_1 = m(x - x_1)[/tex]

[tex]y - 16570 = 1164(x - 2)[/tex]

[tex]y - 16570 = 1164x - 1164*2[/tex]

[tex]y - 16570 = 1164x - 2328[/tex]

Add 16570 to both sides

[tex]y - 16570 + 16570 = 1164x - 2328 + 16570[/tex]

[tex]y = 1164x - 2328 + 16570[/tex]

[tex]y = 1164x + 14242[/tex]

Answer:

y = 1164x + 14,242

Step-by-step explanation:

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