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Andrej [43]
3 years ago
10

Please help!! Kyra is using rectangular tiles of two types for a floor design. A tile of each type is shown below: Which stateme

nt is correct?
a. The two tiles are not similar because SP:SR is 5 : 1 and MJ:ML is 2 : 3.
b. The two tiles are similar because PQ:QR is 1 : 3 and JK:KL is also 1 : 3.
c. The two tiles are similar because SR:SP is 3 : 2 and ML:MJ is also 3 : 2.
d. The two tiles are not similar because PQ:QR is 1 : 6 and JK:KL is 1 : 3.

Mathematics
1 answer:
Cerrena [4.2K]3 years ago
8 0

Answer: Statement B is correct; the two tiles are similar because PQ:QR is 1:3 and JK:KL is also 1:3

Step-by-step explanation: The two tiles as shown in the diagram has their dimensions given according to their position on the Cartesian plane. Tile SRQP has its width at coordinates (2,2) and (4,2) which means the width spans from 2 cm to 4 cm on the x-axis, that is a length of 4 minus 2 which is 2 cm. Similarly the length is at coordinates (2,2) to (2,8) which means the length spans from 2 cm to 8 cm on the y-axis, that is a length  of 8 minus 2 which is 6 cm. Therefore the dimensions of the first tile is 6 cm by 2 cm.

Similarly, we can derive the length and width of the smaller tile MLKJ, by applying the same procedure and what we would have is a tile measuring 3 cm by 1 cm.

The ratio of tile SRQP can be derived as

Ratio = 2 : 6

Ratio = 1 : 3

Also the ratio of the tile MLKJ can be derived as

Ratio = 1 : 3

Having calculated the ratio 1 : 3 for both tiles, then we can safely conclude that both are similar.

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jekas [21]

Answer:

we conclude that:

If 4x - 6≠4, then 2x–5≠5 is the contrapositive of a conditional statement if 2x -5=5, then 4x-6=14.

Step-by-step explanation:

We know that the contrapositive of a conditional statement of the form "If p then q" is termed as "If ~q then ~p".

In other words, it is symbolically represented as:

' ~q ~p is the contrapositive of p q '

For example, the contrapositive of "If it is a rainy day, then they suspend the match" is "If they do not suspend the match, then it won't be a rainy day."

Given

p: 2x -5=5

q: 4x-6=14

As the contrapositive of a conditional statement of the form "If p then q" is termed as "If ~q then ~p

Thus, we conclude that:

If 4x - 6≠4, then 2x–5≠5 is the contrapositive of a conditional statement if 2x -5=5, then 4x-6=14.

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3 years ago
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Free_Kalibri [48]

Answer:

3686

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Determine the intercepts of the line. y = 5 x − 1 3 y=5x−13
sweet-ann [11.9K]
Y-intercept = -13
x-intercept = 2.6 or 2 3/5
-13 is the y-intercept. In the equation, y=mx+b, b is the y-intercept. Looking at the equation, y=5x-13, we can see that -13 is in the place of b, therefore -13 is the y-intercept.
() is the x-intercept. To find the x-intercept, you need to replace values into the equation. Since the coordinates for the x-intercept consist of y being 0, you must replace y in the equation. with 0.
0=5x-13
Get rid of the -13 by adding it onto both sides. -13 is negative and the opposite of a negative is positive, thus making you add to get rid of -13.
0=5x-13
+13 +13
13=5x
Now you divide 5 from both sides to get rid of 5. The opposite of multiplication is division, so you must divide the 5 from 5x to isolate the x.
13/5=5x/5
2.6 or 2 3/5=x
Therefore the coordinates (2.6,0) represent the x-intercept, or just 2.6.

I hope this helped.
6 0
3 years ago
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max2010maxim [7]
(1,3) means that x = 1 and y = 3. Let's make substitutions to see what happens with the inequality

5*x + y < -3
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5*1 + 3 < -3 ... replace y with 3
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This is false. The number 8 is NOT smaller than -3. 

So (1,3) is NOT a solution

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3 0
4 years ago
Which table represents a function?
zalisa [80]

Answer:

3

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to be a function, there has to be exactly one x for every y. if there is more than one per y, it makes it not a function. so, if there is two of the same number in the x, it's not a function.

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2 years ago
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