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Lady bird [3.3K]
3 years ago
11

Plans for a new park call for gardens directly across the sidewalk from each other to be congruent. This computer printout shows

a rose garden. If the vertices of a tulip garden are located at (x1,−y1), (x2,−y2), (x3,−y3), and (x4,−y4), will the tulip garden be congruent to the rose garden?
A)No, because the transformation applied was not a rigid motion.
B)You cannot tell because you do not know where the points are in the plane.
C)Yes, because the tulip garden is a reflection of the rose garden.
D)Yes, because the same transformation was applied to all the vertices.
Mathematics
1 answer:
Alenkasestr [34]3 years ago
7 0

The answer is letter C

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What is the perimeter of a polygon with verticals at (-1, 3) , (-1, 6) , (2, 10) , (5, 6) , and (5, 3)
Marat540 [252]

Answer:

22 units

Step-by-step explanation:

The perimeter of a polygon is said to be the sum of the length of it's sides.

From the question, we have 5 vertices. This means the polygon is a pentagon. It's given vertices are

A = (−1, 3)

B = (−1, 6) ​

C = (2, 10)

D = (5, 6) ​​

E = (5, 3) ​

To find the distance between two points, we use the formula

d = √[(y2 - y1)² + (x2 - x1)²]

Between A and B, we have

d(ab) = √[(6 - 3)² + (-1 --1)²]

d(ab) = √(3²) + 0

d(ab) = √9 = 3

Between B and C, we have

d(bc) = √[(10 - 6)² + (2 --1)²]

d(bc) = √[4² + 3²]

d(bc) = √(16 + 9) = √25 = 5

Between C and D, we have

d(cd) = √[(6 - 10)² + (5 - 2)²]

d(cd) = √[(-4)² + 3²]

d(cd) = √(16 + 9) = √25 = 5

Between D and E, we have

d(de) = √[(3 - 6)² + (5 - 5)²]

d(de) = √(-3)² + 0

d(de) = √9 = 3

Between E and A, we have

d(ea) = √[(3 - 3)² + (5 --1)²]

d(ea) = √[0 + (6)²]

d(ea) = √36 = 6

The perimeter is given as

d(ab) + d(bc) + d(cd) + d(de) + d(ea) =

3 + 5 + 5 + 3 + 6 = 22 units

7 0
2 years ago
Item cost $430 before taxes and the sales tax is $38.70 find a sales tax
natulia [17]

Answer:

sales tax= 9 %

Step-by-step explanation:

sales tax= cost x %tax

38.70 = 430 x %tax

%tax = 38.7/430 = 0.09 = 9 %

See my other articles for quiz and assignment in my site.

Just copy and paste "learningandassignments diy4pro" to google search engine.

Hope it helps.

8 0
3 years ago
What does set up a proportion and solve mean
alina1380 [7]
Set up fractions and solve them
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3 years ago
What is the solution to the inequality 10x + 18 < -2
solong [7]
<h3>Answer:  x < -2, choice B</h3>

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Work Shown:

10x + 18 < -2

10x + 18-18 < -2-18 ... subtract 18 from both sides

10x < -20

10x/10 < -20/10 ... divide both sides by 10

x < -2

3 0
3 years ago
Jen makes necklaces by stringing different color beads. Each necklace is
shtirl [24]

Answer:

5 FULL necklaces.

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85/15

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3 years ago
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