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OleMash [197]
4 years ago
6

The vertices of quadrilateral PQRS are P(4, 5), Q(6, 6), R(9, 4), and S(7, 2). Write a paragraph proof to determine whether quad

rilateral PQRS is a parallelogram.
Mathematics
2 answers:
kicyunya [14]4 years ago
7 0
No because those numbers do not go into the other
Tju [1.3M]4 years ago
5 0

Answer:

Since each side has a different slope, none of the sides are parallel. So quadrilateral PQRS is not a parallelogram.

Step-by-step explanation:





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Lines RS, TV in SW are shown which statements are true about these lines check all that apply
kodGreya [7K]

Answer:

Line SW has a undefined slope

Line TV has a slope of 0

Lines RS and TV are parallel

Step-by-step explanation:

Verify each statement

Part 1) Line RS has a slope of 6

The statement is false

Because, line RS is a horizontal line (is parallel  to the x-axis)

so

The slope of line RS is equal to zero

<em>Verify</em>

we have

R(-8,6) and S(2,6)

Applying the formula of slope

m=(6-6)/(2+8)

m=0/10=0

Part 2) Line SW has a undefined slope

The statement is true

Because, line SW is a vertical line (is parallel to the y-axis)

The slope of a vertical line is undefined

<em>Verify</em>

we have

S(2,6) and W(2,-8)

Applying the formula of slope

m=(-8-6)/(2-2)

m=-14/0 -----> is undefined

Part 3) Line TV has a slope of 0

The statement is true

Because, line TV is a horizontal line (is parallel  to the x-axis)

so

The slope of line TV is equal to zero

<em>Verify</em>

we have

T(-6,-4) and V(8,-4)

Applying the formula of slope

m=(-4+4)/(8+6)

m=0/14=0

Part 4) Lines RS and TV are parallel

The statement is true

Because, line RS and line TV are horizontal lines (are parallel  to the x-axis)

Remember that if two lines are parallel, then their slopes are the same.

Both slopes are equal to zero

Part 5) Line SW is perpendicular to line RS but no to line TV

The statement is false

Because, Line SW is perpendicular to line RS and line TV

(A horizontal line is perpendicular to a vertical line. so it would have to be perpendicular to both RS and TV)

6 0
3 years ago
Read 2 more answers
How can 8 sister share 3 brownies equally
cestrela7 [59]
Cut the brownie into 2.6 pieces, if it's hypothetical. If not, fight for it; rock paper scissors or something 
4 0
3 years ago
Read 2 more answers
Help help help help help help
muminat

Answer:

t= - 48

Step-by-step explanation:

t/8 - 6= -12 add 6 to both side

t/8= -6 multiple by 8

t= -48

3 0
3 years ago
Read 2 more answers
A tent was marked up 150% from an original cost of $52. Last Friday, Ethan bought the tent and paid an additional 10% in sales t
Savatey [412]

Answer

Find out the  what was his total cost .

To prove

As given

A tent was marked up 150% from an original cost of $52.

Last Friday, Ethan bought the tent and paid an additional 10% in sales tax.

Than the equation becomes

150 % is written in the decimal form .

=\frac{150}{100}

= 1.5

10 % is written in the decimal form .

=\frac{10}{100}

= 0.1

cost of the tent when 150% marked up from origianl price = 1.5× 52

                                                                                                = $ 78


cost of the tent = origianl cost + 150% marked up from origianl price

                                  =  $52 + $78

                                  = $ 130

Sales price on the tent = $130 × 0.1

                                      = 13

Total cost of the tent = $130 + $13

                                  = $143

Therefore the cost of the tent is $143.

3 0
3 years ago
Read 2 more answers
10/13 = 8 - 2z/52 Thats the question. Im dyin for help. :)
svp [43]

Answer:

z = 188

Step-by-step explanation:

1. 10/13 = 8 - 2z/52 (simplify - 2z/52)

10/13 = 8 (- 1/26)*z

2. 10/13 = (- 1/26)*z + 8 (flip for ease in solving)

(- 1/26)*z + 8 = 10/13

3. (- 1/26)*z + 8 = 10/13 (inverse: subtract 8 from each side to isolate variable <em>z</em>)

(- 1/26)*z = 10/13 - (8*13)/(1*13)  (common denominator needed for add/subtract)

(- 1/26)*z = - 94/13 (simplify)

4. (- 1/26)*z = - 94/13 (inverse: multiply both sides by -26/1 to isolate variable <em>z</em>)

<h2>z = 188</h2>
3 0
4 years ago
Read 2 more answers
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