Geometry 15 pts
answer is in fractions

Line segment JM has endpoints with coordinates 0 and 25 on a number line. Points K and L are on segment JM. K has a coordinate of 5 and point L has a coordinate of 12. Find the probability that a point on JM is placed first on JL and a second point is not placed on KL.

Answers

Answer 1
Answer:

Answer:

On a Number Line, if only whole numbers are marked

Points J, M, K, and L are marked, having coordinates 0, 25, 5, and 12.

Two points are again marked on the number line.

Probability,that a point on J M is placed first on J L

= There are 10 natural numbers in between J L and 12 natural numbers between L M.

So, Required Probability

  =\frac{_(1)^(C)\textrm{10}*_(1)^(C)\textrm{12}}{_(1)^(C)\textrm{25}*_(1)^(C)\textrm{25}}\n\n=(10*12)/(25*25)\n\n=(120)/(625)\n\n=(24)/(125)

Now, Probability that second point is not placed on KL, it means that point is either is on J K  or L M.

There are 4 natural number between 0 and 5 and 12 natural number between L and M.

Probability of marking second point on J M is

  =\frac{_(1)^(C)\textrm{4}*_(1)^(C)\textrm{12}}{_(1)^(C)\textrm{25}*_(1)^(C)\textrm{25}}\n\n=(4*12)/(25*25)\n\n=(48)/(625)          

Probability of marking two points on the number line, with given condition is

 =(120)/(625)+(48)/(625)\n\n=(168)/(625)

If you consider ,points on the number line which are real numbers, then we can't find the required Probability that is marking two points on the line segment.

Answer 2
Answer: 216/225 is the answer

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Complementary angles are two angles that have measures with a sum of 90°. Angles P and Q are complementary and the measure of angle P is 6° more than twice the measure of angle Q.Write a system of equations and use substitution to find the measures of angles P and Q.

Input Field 1 of 1

Answers

Answer:

P = 62°   Q = 28°

Step-by-step explanation:

Let x = measure of angle Q

then y = measure of angle P

Now  x + y = 90  and 2x + 6 = y

Substituting 2x + 6 from the second equation in for y in the first equation, we get x + 2x + 6 = 90 since the two angles are complementary.

3x + 6 = 90

3x = 84

x = 28

y = 2(28) + 6 = 56 + 6 = 62

Check:  28 + 62 = 90

Final answer:

To find the measures of complementary angles P and Q, we set up a system of equations based on the problem's information, solve for one variable, then substitute that variable's value into the other equation. After solving, we find that the measure of angle P is 62°, and the measure of angle Q is 28°.

Explanation:

Let's denote the measure of angle Q as 'q'. Therefore, the measure of angle P can be expressed as '2q + 6'. Now, we can set up two equations based on the information given:

  1. P + Q = 90°, or in terms of 'q', (2q + 6) + q = 90°
  2. P = 2Q + 6°, or in terms of 'q', (2q + 6) = 2q + 6

Solving the first equation gives us 3q + 6 = 90. Subtract 6 from each side of the equation to get 3q = 84. Divide each side by 3 to solve for 'q', and we find that q = 28°. Substituting q = 28° into equation 2, we find that P = 2*28 + 6 = 62°. So, angle P is 62° and angle Q is 28°.

Learn more about Substitution Method here:

brainly.com/question/26094713

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If a 12-sided regular polygon rotates about its center, at which angle of rotation will the image of the polygon coincide with the preimage?75°

45°

36°

30°

Answers

Central angle of a 12-sided regular polygon:
360° : 12 = 30°
Answer: D ) 30°

the answer is

d=30 degrees


Which is the correct input-output table for the function ?f(x)=3/x+4

Answers

It seems the function f(x) is 3/(x+4).

If the function is f(x) = 3 / (x + 4), a table could be

x    f(x)

-8    -3/4

-7    -1

-6    -3/2

-5    -1

(-4 is no a valid input)

- 3   3

- 2    3/2

-1    1

0     3/4

1    3/5

2    3/6 = 1/2

3    3/7

4    3/8

If the function is f(x) =  (3/x) + 4

Just substitute different values for x and obtain the respective outputs. In this case, x has to be different of o, i.e. 0 is not a valid input.

The answer is option B in the screenshot.

Find solution and show work for (3.4^17)^4

Answers

Answer:  3.4^68

Work Shown:

(3.4^17)^4

3.4^(17*4)

3.4^68

The general rule is (a^b)^c = a^(b*c)

solve the equation in factoral form

 

(x+3)(x-2/5=0

Answers

(x+3)(x-(2 )/(5))=0 \n \nx+3 =0 \ \ \vee \ \ x-(2)/(5)=0\n \nx = -3 \ \ \vee \ \ x=(2)/(5)


A rectangular room is four times as long as it is wide, and its perimeter is 70 meters. Find the width of the room. 

Answers

W=3/4L
P=2L=2W
70=2L+2(3/4L)
70=2L+6L/4
70=2L+1.5L
70=3.5L
L=70/3.5
L=20 FT. ANS. FOR THE LENGTH.
W=4/4*20=15 ANS. FOR THE WIDTH


i think.

2(4w) + 2w = 70
8w + 2w = 70
10w = 70
W= 7 m

Again, you just have to learn to make the equations. :)