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Irina18 [472]
2 years ago
8

Rectangle LMNP is rotated, using the origin as the center of rotation, to form rectangle L’M’N’P’. What is the angle of rotation

? On a coordinate plane, rectangle L M N P has points (negative 2, 5), (1, 5), (1, 4), (negative 2, 4). Rectangle L prime M prime N prime P prime has points (2, negative 5), (negative 1, negative 5), (negative 1, negative 4), (2, negative 4).
Mathematics
1 answer:
maria [59]2 years ago
5 0

Answer: 180 degrees

Step-by-step explanation:

A rotation of 180 degrees about the origin maps (x,y) \longrightarrow (-x, -y).

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A 4m ladder rest against a vertical wall with its foot 2m from the wall.How far up the wall does the ladder reach?
adell [148]

A) How high up the wall does it reach?

Use the Pythagorean theorem

Height^2 + Base^2 = Hyp^2

H^2+ 2^2 = 4^2         Subtract the 2^2 from both sides

H^2 = 4^2 -2^2          Multiply the square roots of both the numbers

H^2= 16 - 4

H^2 = 12

H= sqrt(12) m

Hope this helps

4 0
3 years ago
Suppose f(x) - x = 2/ x. Fincd f(- 3)
myrzilka [38]

Answer:

To find the mode you need to check the number which is more often repeated in the set than the other.But as you can see here there is no number which is repeated more often than the other everyone is repeated once,so in this case  we say that the set of data values has no mode.

To find the the range of the set of data you need to first place the numbers in ascending order (as it is already in) and then find the greatest and the smallest number and subtract them.

Range :

10,20,30,40,50,60,70,80,90,100,110,120,130,140,150.

Greatest number = 150.

Smallest number = 10.

Subtract = 150-10 = 140.

Step-by-step explanation:

6 0
3 years ago
a recent survey shows that 16% of college students have dogs and 38% have an HBO subscription. assuming these two events are ind
Nataly_w [17]

Answer: 0.939\ or\ 93.9\%

Step-by-step explanation:

Given

Survey shows that 16% of college students have dogs and 38% have HBO subscription

Probability that a random person have both is

\Rightarrow P_o=0.16\times 0.38\quad [\text{As both events are independent}]\\\Rightarrow P_o=0.0608

The probability that the random person has neither of the two is

\Rightarrow P=1-P_o\\\Rightarrow P=1-0.0608\\\Rightarrow P=0.939

3 0
3 years ago
Solve for x: 2(10-2x) = 4(3x + 1). Write your answer as a fraction.
qwelly [4]

Answer:

\boxed{x=1}

Step-by-step explanation:

2(10-2x) = 4(3x + 1)

\sf Expand \ brackets.

20 - 4x = 12x + 4

\sf Subtract \ 12x \ and \ 20 \ from \ both \ sides.

20 - 4x - 12x - 20 = 12x + 4 - 12x - 20

-16x = -16

\sf Divide \ both \ sides \ by \ -16.

\displaystyle \frac{-16x}{-16} =\frac{-16}{-16}

x=1

4 0
3 years ago
Read 2 more answers
What is the slope-intercept form of the line?
Anna11 [10]

The slope-intercept of the line is

y= -2/3x + 2

Going up 2, left 3

Change in y

------------------

change in x

4 0
3 years ago
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