If p,q,and r, are any three collinear points such that q lies between p and r find the value of x if pr = 5 x, pq =10, and qr = 3x-2.

Answer:

35 minutes

Step-by-step explanation:

Answer:

11/8 is the answer as a fraction

The fraction value of 7/8+1/2 is 11/8

Fraction is a numerical value which has two parts. The bottom part is called denominator which indicates the no. of parts in which the whole is divided. And the top part is called numerator which indicates how many parts of the fraction are selected.

Example : 2/3 , where 2 is the numerator and 3 is the denominator.

The given sum is, [tex]\frac{7}{8}+\frac{1}{2}[/tex]  

Taking LCM of 8 & 2, which is 8,

                          = [tex]\frac{(7*1)+(1*4)}{8}[/tex]

                           = [tex]\frac{7+4}{8}[/tex]

                            = [tex]\frac{11}{8}[/tex]

∴ The required fraction is [tex]\frac{11}{8}[/tex]

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Answer:

24

Step-by-step explanation:

LP = 15 on one side

LR= 9 on the other side

____________________|____________|

 P                                      L                            R

add them and PR is 24

15+9= 24

Answer:

x=35

Step-by-step explanation:

Add 3 to both sides

x/5 = 7

Multiply by 5

x=35

Answer:

 x = 25/3 = 8.333 I got that

Step-by-step explanation:

Answer:

6 or 5.8 without rounding

Step-by-step explanation:

The other side of the triangle is 5.8 and they are the same length so Ab would be the same length as AC.

5.8 rounded is ^ because 8 is above the number 5 and not below the number 4 so you round up and doesnt stay the same

Hope this helps :3

Answer:

The answer is 5.4

Step-by-step explanation:

if you divide 5.8 by 3 you would get 1.9333 then you would multiply that by 2.8 to get 5.41

Answer:

Shortest side = 39

Median side = 65

Longest side = 91

Step-by-step explanation:

So here we have 3:5:7

And we keep adding on to it.

Answer:

72cm^2

Step-By-Step Explanation

36=2(y+2y)

36=2(3y)

36=6y

y=6cm

Width of rectangle= 6cm

Length of rectangle= 2y=2×6 = 12

Area of rectangle= L×W = 12×6 =72cm^2

Answer: A

Hope it's help

Answer:

E

Step-by-step explanation:

Sr2+ po43- exchange the charges and write the salt

Answer:

C

Step-by-step explanation:

The triangular inequality states that a+b>c, b+c>a, a+c>b. So, 4+8=12, so a is not possible. Neither is b. D is not true either. It has to be c.

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The third side of the triangle measures more than 4 inches.

According to the given question we have,

Length of the two sides of a triangle are 8 inches and 12 inches.

Let the length of the third side be x inches.

Now, according to the properties of a triangle

"The difference between the two sides of a triangle is less than the length of the third side".

Therefore,

12 - 8 < x

⇒ 4 < x

⇒ The third side of the triangle is greater than 4 inches.

Hence, the third side of the triangle measures more than 4 inches.

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Answer: 48

Step-by-step explanation: COB and DOA are vertical angles. This means the two of them have the same measure. Because we know the measuremen of DOA, we can easily find the measuremen for COB since these angles are the same, so COB is 48 degrees.

Answer:

B

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

a triangle can only have one right angle or it wouldn't be a triangle

Answer: No

Step-by-step explanation:

Only Quadrilaterals have 2 or more 90° Because 90° means an angle which looks like L and it is impossible for triangle to have 2 90°

Answer:

A

Step-by-step explanation:

AnB means including the numbers that both the sets have.

Answer:

slope of the tangent

[tex]\frac{d y}{d x} = 0.2(2 x) + 5 (1)[/tex]

The slope of the tangent to the interval (-1 ,1)

m = 4.6 ,5, 5.4

Step-by-step explanation:

Step(i):-

Given function is  f(x) = 0.2 x² + 5 x − 12

Slope of the tangent formula

                        [tex]m = \frac{d y}{d x}[/tex]

Let y =  f(x) = 0.2 x² + 5 x − 12 ...(i)

Differentiating equation(i) with respective to 'x' , we get

[tex]\frac{d y}{d x} = 0.2(2 x) + 5 (1) -0[/tex]

let x=-1

[tex]m = \frac{dy}{dx} = 0.2 (2 X -1) +5 = 4.6[/tex]

let x=0

m = 5

let x=1

[tex]m = \frac{dy}{dx} = 0.2 (2 X 1) +5 = 5.4[/tex]

conclusion:-

slope of the tangent

[tex]\frac{d y}{d x} = 0.2(2 x) + 5 (1)[/tex]

The slope of the tangent to the interval (-1 ,1)

m = 4.6 , 5,  5.4

The x-values at which the slope of the tangent line to the function f(x) belongs to the interval (-1, 1) are x ∈ (-15, -10).

The function is defined as a mathematical expression that defines a relationship between one variable and another variable.

To find the x-values at which the slope of the tangent line to the function f(x) = 0.2x² + 5x − 12 belongs to the interval (-1, 1), we need to find the x-values at which the derivative of the function f(x) has a value within that interval.

The derivative of f(x) is given by f'(x) = 0.4x + 5. Therefore, we can find the x-values at which f'(x) belongs to the interval (-1, 1) by solving the inequality 0.4x + 5 ∈ (-1, 1).

To solve this inequality, we can rewrite it as follows:

-1 < 0.4x + 5 < 1

-1 - 5 < 0.4x < 1 - 5

-6 < 0.4x < -4

Dividing both sides of the inequality by 0.4, we get:

-15 < x < -10

Therefore, the x-values for which the slope of the tangent line to the function f(x) lies x ∈ (-15, -10).

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Answer:

-9x^2 +6

Step-by-step explanation:

f(x)= 3x² – 2

-3 f(x) = -3 * (3x² – 2)

Distribute

          = -9x^2 +6

Answer:

∠ 5 = 40°

Step-by-step explanation:

∠ 1 and ∠ 2 are adjacent angles and supplementary, thus

∠ 2 = 180° - ∠ 1 = 180° - 140° = 40°

∠ 5 and ∠ 2 are alternate angles and congruent , thus

∠ 5 = 40°

Answer:

Step-by-step explanation:

The equation sin(25) = 9/C can be used to find the length of АВ means

C sin the length of side AB:

sin(25) = 9/C ⇒ C = 9÷sin(25) = 21.295814248372

→ C rounded to the nearest tenth is 21.3

Answer:

HERE IS YOUR  ANSWER.

HOPE IT HELPS.

Answer: 2/9

Step-by-step explanation:

The probability of landing on blue and green in any order is 2/9 because we have two probable colors and nine total possibilities.

Answer:

C. 2

Step-by-step explanation:

hope it answers your question ! if not lmk

Answer:

The value of x is 1.

Step-by-step explanation:

You have to move all the x-terms to one side and the unrelated values to other side :

[tex]3.2x - 7.4 = - 7.8x + 3.6[/tex]

[tex]3.2x + 7.8x = 3.6 + 7.4[/tex]

Next, you have to add up :

[tex]11x = 11[/tex]

Lastly, you have to divide it by 11 :

[tex]x = 11 \div 11[/tex]

[tex]x = 1[/tex]

Answer:

23 square units

Step-by-step explanation:

I just counted them because the area is the inside or the shaded region but your supposed to find the x and y values of each box multiply them and add them all up to get the answer

Answer:

The area is 23

Step-by-step explanation:

I just counted I didn't know what else to do.

Answer:

(2, 0)

Step-by-step explanation:

X intercept is when y = 0.

0 = -10 + 5x

5x = 10

x = 2

Answer:

1 1/2+1 1/2=3+1 1/2= 4 1/2

3 clases in 1 night

Answer:She can do 3 lessons in one night

Step by step explanation:1 1/2+1 1/2=3+1 1/2= 4 1/2 just some simple additio,

Question:

In 2002, the Centers for Disease Control and Prevention (CDC) reported that 8% of women married for the first time by their 18th birthday, 25% married by their 20th birthday, and 76% married by their 30th birthday. Based on these data, what is the probability that in a family with two daughters, the first and second daughter will be married by the following ages? (Enter your answers to four decimal places.) (a) 18 years of age (b) 20 years of age (c) 30 years of age

Answer:

A.) 0.0064

B.) 0.0625

C.) 0.5776

Step-by-step explanation:

Given the following :

Married by 18th birthday = 8% = 0.08

Married by 20th birthday = 25% = 0.25

Married by 30th birthday = 76% = 0.76

In a family with two(2) daughters :

P(First daughter will be married by 18) = 0.08

P(second daughter will be married by 18) = 0.08

P(1st and 2nd married by 18) = (0.08×0.08) = 0.0064

B.)

P(First daughter will be married by 20) = 0.25

P(second daughter will be married by 20) = 0.25

P(1st and 2nd married by 20) = (0.25×0.25) = 0.0625

C.)

P(First daughter will be married by 30) = 0.76

P(second daughter will be married by 30) = 0.76

P(1st and 2nd married by 30) = (0.76×0.76) = 0.5776

Answer:

parallel

Step-by-step explanation:

Corresponding angles are those which are in the same relative place between the cross-line and the parallel axes. You will see that the (corresponding) angles are identical if and only if the lines are parallel.

hope this helped!

Answer:

5.25 miles per practice

Step-by-step explanation:

you have to divide 21 by 4 and you 5.25 you can also use a calculator to solve this problem out

Answer:

A=0 B=6 C=12

Step-by-step explanation:

If she gets 6 slices from each apple, then for A(which is 0 apples) you would get 0 slices. For B (which is 1 apple.) you would get 6 slices and for C (which is two apples) you would get 12 slices. I hope this helps!

Answer:

a=0

b=6

c=12

Step-by-step explanation:

4:24 is one of the ratios

lets use that as an example

divide both sides by 4 and you get

1:6

now lets use 3:18

divide both sides by 3 and you get

1:6

Now if you have 0 apples you have 0 slices

if you have one apple you get 6 slices...

because of the ratio 1:6 one apple=6 slices

now if you have 2 apples you have to times 1:6 by 2 which gives us 2:12 meaning you get 12 slices

Answer:

B) 7

Step-by-step explanation:

Subtract 11 by both sides

3x - 4(x + 1) + 11 - 11 = 0 - 11

Simplify

3x - 4(x + 1) = -11

Distribute 4

3x - 4x - 4 = -11

Add 4 to both sides and combine like terms

-x - 4 + 4 = -11 + 4

-x = -7

Divide both sides by -1

x = 7