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andrezito [222]
3 years ago
6

- 5/12 ___ - 3/4=<>​

Mathematics
1 answer:
Bess [88]3 years ago
6 0

Answer:

-5/12 > -3/4

Step-by-step explanation:

-5/12 = -0.4166666667

-3/4 = -0.75

-0.4166666667 is greater than -0.75 because it is closer to 0. Numbers that are negative and closer to 0 are greater than numbers that are negative and farther than 0.

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Triangle PQR is transformed to triangle P'Q'R'. Triangle PQR has vertices P(4, 0), Q(0, −4), and R(−8, −4). Triangle P'Q'R' has
Whitepunk [10]

Answer:

Please find attached the required plot accomplished with an online tool

Part A:

1/4

Part B:

P''(-1, 0),  Q''(0, -1), and R''(2, -1)

Part C:

Triangle PQR is similar to triangle P''Q''R'' but they are not congruent

Step-by-step explanation:

Part A:

Triangle ΔPQR has vertices P(4, 0), Q(0, -4), R(-8, -4)

Triangle ΔP'Q'R' has vertices P'(1, 0), Q'(0, -1), R'(-2, -1)

The dimensions of the sides of the triangle are given by the relation;

l = \sqrt{\left (y_{2}-y_{1}  \right )^{2}+\left (x_{2}-x_{1}  \right )^{2}}

Where;

(x₁, y₁) and (x₂, y₂) are the coordinates on the ends of the segment

For segment PQ, we place (x₁, y₁) = (4, 0) and (x₂, y₂) = (0, -4);

By substitution into the length equation, we get;

The length of segment PQ = 4·√2

The length of segment PR = 4·√10

The length of segment RQ = 8  

The length of segment P'Q' = √2

The length of segment P'R' = √10

The length of segment R'Q' = 2

Therefore, the scale factor of the dilation of ΔPQR to ΔP'Q'R' is 1/4

Part B:

Reflection of (x, y) across the y-axis gives;

(x, y) image after reflection across the y-axis = (-x, y)

The coordinates after reflection of P'(1, 0), Q'(0, -1), R'(-2, -1) across the y-axis is given as follows;

P'(1, 0) image after reflection across the y-axis = P''(-1, 0)

Q'(0, -1) image after reflection across the y-axis = Q''(0, -1)

R'(-2, -1) image after reflection across the y-axis = R''(2, -1)

Part C:

Triangle PQR is similar to triangle P''Q''R'' but they are not congruent as the dimensions of the sides of triangle PQR and P''Q''R'' are not the same.

6 0
3 years ago
As a membership fee a health club charges a one time amount of $40 and charges $25 for each month. The total fee after m months
ICE Princess25 [194]
First you need to set up an equation y = mx + b. m would be the monthly charge and b would be the one time fee. x represents the number of months.
To solve for the number of months with a total price of 240 we substitute 240 in for y and solve for x.
240 = 25x + 40
subtract 40 from each side
200= 25x
divide by 25
8 = x
8 months

10 + 7r = 45
7r = 35
r = 5
5 miles
3 0
3 years ago
Please help me with this questions
viktelen [127]

Answer:

See attached

Step-by-step explanation:

The answers added on the picture

8 0
3 years ago
What is the value of the x variable in the solution to the following system of equations?
Mazyrski [523]
Correct answer is A.

3x + 2y = 8&#10;\\2x + 3y = 2 &#10;\\&#10;\\9x+6y=24&#10;\\-4x-6y=-4&#10;\\&#10;\\5x=20&#10;\\x=4
5 0
3 years ago
Read 2 more answers
There are 5 numbers, they are- 5,8,2,9,10
Crank

Answer:

Mean: 6.8

Median: 2

Mode: There is no mode of the data set

Step-by-step explanation:

Finding the mean: 5+8+2+9+10= 34 divided by the numbers of the data set which is 5= 6.8

Finding the median: The middle of the data set which is 2

Finding the mode: the most frequently occurring number which doesn't appear in this data set which means there is none.

8 0
2 years ago
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