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Finger [1]
3 years ago
6

WHO IS CORRECT? LIAM or TEHYA?

Mathematics
2 answers:
horsena [70]3 years ago
5 0

Answer: Both Liam and Tehya

Step-by-step explanation:

ale4655 [162]3 years ago
4 0

Answer:

<h2>Liam is right.</h2>

Step-by-step explanation:

The transformation that demonstrate the congruence between these two triangles is the given one by Liam:

\triangle ABC can be reflected over the y-axis to create \triangle EFD

You can get this answer by observing the given graph. You can realize that one triangle is a reflection of the other across y-axis, because when this happens, the x-coordinates are changed by their opposite. There you can see that

x = -7 is changed to x' = 7

x = -3 is changed to x' = 3

x = -2 is changed to x' = 2

Therefore, the right transformation is the reflection accross y-axis given by Liam, he's right.

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Find the MEDIAN of the data set. (Hint: the numbers must be in order first!) 40 76 40 63 47 57 49 55 50 53
Romashka [77]

Given:

The data set is:

40, 76, 40, 63, 47, 57, 49, 55, 50, 53

To find:

The median of the given data set.

Solution:

We have,

40, 76, 40, 63, 47, 57, 49, 55, 50, 53

Arrange the data values in ascending order.

40, 40, 47, 49, 50, 53, 55, 57, 63, 76

Here, the number of observations is 10 which is an even number. So, the median is:

Median=\dfrac{(\dfrac{n}{2})\text{th term}+(\dfrac{n}{2}+1)\text{th term}}{2}

Putting n=10, we get

Median=\dfrac{(\dfrac{10}{2})\text{th term}+(\dfrac{10}{2}+1)\text{th term}}{2}

Median=\dfrac{5\text{th term}+6\text{th term}}{2}

From the arranged terms, it is clear that the the 5th term is 50 and the 6th term is 53.

Median=\dfrac{50+53}{2}

Median=\dfrac{103}{2}

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3 years ago
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Answer:

x = 3; y = 6; z =4

Step-by-step explanation:

The point J is the circumcentre of the triangle.

It is equidistant from the vertices. So

2x + 2 = 8

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2y - 4 = 8

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If FI = 9, HI = 9. Then,

3z - 3 = 9

     3z = 12

      z = 4

So, x = 3; y = 6; z =4.

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3 years ago
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