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Nadya [2.5K]
2 years ago
5

A polygon is graphed on a coordinate grid with (x,y) representing the location of a certain point on the polygon. the polygon is

transformed using the rule (x,y) →(ax,ay). which statement must be true?
a. If a is greater than 1, the image of the polygon is congruent to the polygon.
b. If a is between 0 and 1, the image of the polygon is smaller than the polygon.
c. If a is between 0 and 1, the image of the polygon is congruent to the polygon.
d. If a is greater than 1, the image of the polygon is smaller than the polygon.
Mathematics
1 answer:
nasty-shy [4]2 years ago
5 0

Answer: D. if a is greater than 1, the image of the polygon is smaller than the polygon

Step-by-step explanation: MARK ME BRAINLIEST!!!!

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Two unique letters are chosen at random from the alphabet.
ElenaW [278]
A - choosing letter A first

|\Omega|=P(26,2)=\dfrac{26!}{24!}=25\cdot26\\
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2 years ago
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On a coordinate plane, a piecewise function has 3 lines. The graph shows cleaning time in hours on the x-axis and total cost in
sveta [45]

Answer:

  C. (2, 6] hour jobs cost $100

Step-by-step explanation:

Let's consider each of these statements in view of the graph:

  1. A cleaning time of 2 hours will cost $100. -- The closed circle at (2, 50) tells you the cost of a 2-hour job is $50, not $100.
  2. A cleaning time of 6 hours will cost $150. -- The closed circle at (6, 100) tells you the cost of a 6-hour job is $100, not $150.
  3. Cost is a fixed rate of $100 for jobs requiring more than 2 hours, up to a maximum of 6 hours. -- The line between the open circle at (2, 100) and the closed circle at (6, 100) tells you this is TRUE.
  4. Cost is a fixed rate of $200 for jobs that require at least 6 hours. -- "At least 6 hours" means "greater than or equal to 6 hours." The closed circle at (6, 100) means a 6-hour job is $100, not $200.

3 0
2 years ago
Miss Croft made snack bags for the picnic that contain three types of snacks: packages of crackers, packages of cookies, and can
jek_recluse [69]

Answer: $1.25

Step-by-step explanation:

Let the cost of cracker be a.

Let the cost of cookies be b.

Let the cost of candy bars be c.

From the question,

6a + 6b + 6c = $21

8a + 5b + 10c = $26

5a + 4b + 7c = $18.50

To solve this, we first pick any two pairs of equation. This will be:

6a + 6b + 6c = $21 ....... i

8a + 5b + 10c = $26 ....... ii

Multiply equation i by 8

Multiply equation ii by 6

48a + 48b + 48c = $168 ....... iii

48a + 30b + 60c = $156 ....... iv

Subtract equation iv from iii

18b - 12c = 12

We then pick another two pairs

8a + 5b + 10c = $26

5a + 4b + 7c = $18.50

Multiply equation i by 5

Multiply equation ii by 8

40a + 25b + 50c = $130

40a + 32b + 56c = $148

Subtract the equations

-7b - 6c = -18

Then, solve the new equations formed

18b - 12c = 12 ....... v

-7b - 6c = -18 ....... vi

Multiply equation i by -7

Multiply equation ii by 18

-126b + 84c = -84

-126b - 108c = -324

Subtract the equations

192c = 240

c = 240/129

c = $1.25

From equation v, put the value of c

18b - 12c = 12

18b - 12($1.25) = 12

18b - $15 = $12

18b = $27

b = $27/18

b = $1.5

Since,

6a + 6b + 6c = $21

6a + 6($1.5) + 6($1.25) = $21

6a + $9 + $7.5 = $21

6a + $16.5 = $21

6a = $21 - $16.5

6a = $4.5

a = $4.5/6

a = $0.75

One candy bar cost $1.25

6 0
2 years ago
The student council raised $2,790 during its annual fundraiser. The money was shared equally among the Events Committee, the Spo
irina [24]

Answer:

77

Step-by-step explanation:

$2790 is shares equally between 3 committees. each committee would get - $2790 / 3 = $930

If a shirt costs $12 and the Sports Committee gets $930, the committee would get $930 / $12 = 77.5

The committee cannot get half a shirt, so the greatest number of shirt that can be purchased is 77

6 0
2 years ago
Determine whether ⊂, ⊆, both, or neither can be placed in the blank to make the following true. {prosciutto, olives, kumquats, l
DochEvi [55]

Step-by-step explanation:

We have two sets of elements, we will call them A and B. Let's remember what does each symbol represents:

We say that A ⊆ B (A is included in B) if every element of A is also an element of B.

We say that A ⊂ B (A is strictly included in B) if every element of A is also an element of B, but there is at least one element of B that's not an element of A.

If we look our sets, we can see that all the elements on the second set are included on the first one. But the olives are on the first set and not in the second one. Therefore, the symbol that can be placed in the blank is   ⊃.

If we only can use ⊂ or ⊆, without changes, the answer would be neither.

4 0
2 years ago
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