length of the median CP

Length Of The Median CP

Answers

Answer 1

Given:

ΔABC [tex]\sim[/tex] ΔDEF

To find:

The length of median CP

Solution:

In ΔABC,

AP = 12, BP = 12 and PC = 3x - 12

In ΔDEF,

DQ = 16, QE = 16 and FQ = 2x + 8

If two triangles are similar, then their median is proportional to the corresponding sides.

[tex]$\Rightarrow \frac{AP}{DQ} =\frac{PC}{FQ}[/tex]

[tex]$\Rightarrow \frac{12}{16} =\frac{3x-12}{2x+8}[/tex]

Do cross multiplication.

[tex]$\Rightarrow 12(2x+8)=16(3x-12)[/tex]

[tex]$\Rightarrow 24x+96=48x-192[/tex]

Add 192 on both sides.

[tex]$\Rightarrow 24x+96+192=48x-192+192[/tex]

[tex]$\Rightarrow 24x+288=48x[/tex]

Subtract 24x from both sides.

[tex]$\Rightarrow 24x+288- 24x=48x- 24x[/tex]

[tex]$\Rightarrow 288=24x[/tex]

Divide by 24 on both sides.

12 = x

Substitute x = 12 in CP.

CP = 3(12) - 12

     = 36 - 12

     = 24

The length of median CP is 24.


Related Questions

What is the answer to this problem -34=m-16

Answers

Answer:

m = -18

Step-by-step explanation:

-34=m-16

+16. +16

-18 = m

Answer:

m = -18

Step-by-step explanation:

to evaluate for the correct answer of this problem , we would simply combine the like terms together.

solution

-34=m-16

-34 + 16 = m

-18= m

m = -18

Genevieve works on her scrapbook from 11:27 am to 11:58 am. How many minutes does she work on her scrapbook

Answers

Answer:

31

Step-by-step explanation:

time is tricky due to the 60 minute interface. In those questions add to the lower number until you hit a rounded number.

Fortunately you don't need to use this in this problem, and can just subtract 58-27 to get 31

find the area of the shaded region

Answers

Answer:

[tex]x^{2} \\[/tex]+3x

Step-by-step explanation:

2x(2x+1)

x(x+1)

2[tex]x^{2}[/tex]+2x-[tex]x^{2}[/tex]+x

=[tex]x^{2}[/tex]+3x

Does someone knows the correct answer?? I think is d but I don’t know

Answers

Answer:

I think you are right

Step-by-step explanation:

Answer:

YES I AM PRETTY SURE ITs :D GOOD LUCK HAVE A GREAT DAY

Step-by-step explanation:

is 8, 10, 12 a Pythagorean Triples ?

Answers

Answer:

No

Step-by-step explanation:

You use the formula a^2 + b^2= c^2. The biggest number is c.

So 8 ^2 + 10^2 has to equal 12^ 2

64 + 100= 144

164=144

That is not true.

Answer:

No, they are not

Step-by-step explanation:

If you simplify all 3 numbers, you get 4, 5, 6

If you graph the triangle on graph paper, it wouldn't work and there would be a gap.

3, 4, 5 triangles do work though!

A hot air balloon descended 2,250 feet in 15 minutes. Find the change in altitude per minute (show the process).

Answers

Answer:

150 ft/min

Step-by-step explanation:

The change in altitude per minute will have the units of ft/min.

We see that we are given the number of feet: 2250 ft, as well as the number of minutes: 15 min.

So, to get ft/min, we can divide 2250 ft (the distance) by 15 min (time) to get the rate: 2250/15 = 150 ft/min

Thus, the change in altitude per minute is 150 ft/min.

Hope this helps!

Answer:

-15 per minute

Step-by-step explanation:

2250/15 = 150

Since it's descending, height is decreasing.

Hence rate of change of height is -15 per minute

If a pool table measures 4 ft by 8 ft , what is the diagonal length from the bottom right pocket to the nearest tenth?

Answers

Answer:

8.9 ft

Step-by-step explanation:

Use Pythagorean theorem,

a² + b² = c²

√(a² + b²) = c

The diagonal is the hypotenuse of the rectangular pool table.

So,

√(4² + 8²) = c

√(16 + 64) = c

√(80) = c

8.944... = c

Nearest tenth:

8.9

The center of a circle is (5,-3) and its radius is 4. Which point lies outside of the circle?

Answers

Answer:

-1

Step-by-step explanation:

Final answer:

The equation of a circle gives the positions of points inside or on its circumference. A point is outside the circle if the substitution in the equation results in a value greater than the square of the circle's radius.

Explanation:

To understand this, we need first to understand the equation of a circle which is defined in the format (x-a)² + (y-b)² = r², where (a,b) is the center of the circle and r is the radius.

In this case, (a,b) = (5,-3) and r = 4. So, the equation of the circle becomes (x-5)² + (y+3)² = 16. Any point (X,Y) that satisfies this equation is inside or at the circumference of the circle. If the computation yields a result greater than 16, the point is outside the circle.

Let's take a point for example: (3,-1). Substituting the values gives (3-5)² + (-1+3)² = 4 + 4 = 8 which is less than 16, hence, lies inside the circle. But for a point like (10,0), it results in (10-5)² + (0+3)² = 25 + 9 = 34 which is greater than 16, so the point (10,0) is outside the circle.

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Mrs. Vamer deposited q dollars in a bank account that has been earning annual interest The total value of the
account is based on the function f(x) = 1.025%, where x represents the number of years the money has been in the account If no deposits or withdrawals are made after the initial deposit, which equation represents the total value of
the account 5 years from now?​

Answers

Answer:

the answer is b

Step-by-step explanation:

nun

Samuel needs 2 boards to make a shelf. One board is 84 centimeters long

and the other is 45 centimeters long.

What is the total length of the shelf?

centimeters

What would your answer be in millimeters?

millimeters

Answers

Answer:

The length of the shelf is 129 cm or 1290 mm.

Step-by-step explanation:

Since Samuel will use the two boards to make the shelf, then the total length of the shelf is the sum of the lengths of each board. So in order to solve this problem we must do as shown bellow:

length shelf = length board1 + length board2

length shelf = 84 + 45 = 129 cm

In order to convert this to milimeters we must multiply the answer above by 10. So we have:

length shelf = 129*10 = 1290 mm

The length of the shelf is 129 cm or 1290 mm.

Answer: 129 cm = 1290 mm

Step-by-step explanation:

Hi, to answer this question we simply have to add the length of both boards.

Mathematically speaking:

Total length = 84 cm + 45 cm = 129 centimiters

Since:

1 cm = 10mm

To convert 129 cm to mm we have to multiply it by 10.

129 cm x 10 mm/cm =1290 mm

Feel free to ask for more if needed or if you did not understand something.

what does a subtraction sign mean

Answers

Answer:

If you take a number and 'subtract" it with another number, it means that you take your second number and remove that amount from the first number

If this helped, say thanks on my profile ;)

Answer:

Definition of subtraction sign. : a mathematical symbol used to indicate that a particular quantity is to be subtracted from another to which it is joined by the symbol : a symbolic representation of the relation of subtrahend and minuend —symbol −

Step-by-step explanation:

Choose 1 answer:
A. Vertical angles
B. Complementary angles
C.Supplementary angles
D. None of the above

Answers

Answer:

A

Step-by-step explanation:

vertical are always opposite each other

complementary are 180

supplementary are 90

The answer is A, the angel are opposite of each other and opposite angles are always vertical.

b and a win some money and share it in a ratio of 3:4 person b gets 39 how much does person a get?

Answers

Answer:52

Step-by-step explanation:

To find this

Total ratio=3+4

=7

Find the amount share

7/4×39

=91

So, to get a share's

3/7×91

=52

A pot of piping hot stew has been removed from the stove and left to cool.
The relationship between the elapsed time, m, in minutes, since the stew was removed from the stove, and the
temperature of the stew. T(m), measured in C is modeled by the following function.
T(m) = 20 + 50 - 10-0.0477
How many minutes will it take for the stew to cool to a temperature of 30°C?
Round your answer, if necessary to the nearest hundredth.
minutes

Answers

Answer: 17.47 minutes

Step-by-step explanation:

Final answer:

To find the number of minutes it will take for the stew to cool to a temperature of 30°C, solve the given nonlinear equation or graph it to find the intersection point.

Explanation:

The given function that models the relationship between the elapsed time, m, in minutes, and the temperature of the stew, T(m), is:

T(m) = 20 + 50 - 10^(-0.0477m)

To find the number of minutes it will take for the stew to cool to a temperature of 30°C, we need to solve the equation:

30 = 20 + 50 - 10^(-0.0477m)

By isolating the unknown variable, m, we can solve for it using logarithms or graphing. However, since the equation is nonlinear, graphing is a more intuitive approach. Graph the equation and find the x-coordinate at which the graph intersects with the y-coordinate 30. This value of m will give you the number of minutes it will take for the stew to cool to 30°C.

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Consider triangle ABC and triangle ACD in the diagram below. Which of the following complete the proof above?
Options
- AB =AD
- AC=AC
- AC=BD
- BC=DC

Answers

Given:

AC is perpendicular bisector of BD

AB ≅ AD

To prove:

ΔABC ≅ ΔACD

Solution:

In triangle ABC and triangle ACD,

Step 1: Given

AC is perpendicular bisector of BD and

AB ≅ AD (Side)

Step 2: By perpendicular bisector definition,

BC ≅ CD (Side)

Step 3: By reflexive property,

AC ≅ AC (Side)

Step 4: By SSS congruence criterion,

ΔABC ≅ ΔACD

Hence proved.

Answer:

BC=DC

Step-by-step explanation:

I did the test yourself and got it right :)

Have three witches each holding a broom and a spoon. Witches say witch plus witch plus witch =45. Three brooms say broom plus broom plus a broom =21 and three spoons say spoon plus spoon plus spoon = 12 then final question is a plain witch plus broom x spoon equal a ? What’s answer?

Answers

Answer:

Either 43 or 88

Step-by-step explanation:

45/3 = 15 (one witch)

21/3 = 7 (one broom)

12/3 = 4 (one spoon)

PEMDAS:

Equation: 15 + 7 x 4

if there are parenthesis and the equation looks like:

(15 + 7) x 4

the answer is 88.

if there is NOT parenthesis and the equation looks like:

15 + 7 x 4

the answer is 43.

Answer:

31

Step-by-step explanation:

witch with spoon and wand equals 15 each...wand = 7 spoon =3

Can someone help me with this question?

Answers

Answer:

C). 30 I just learned about this!

Step-by-step explanation:

If the smaller diamond is 12 and the bigger one is 36 then its times 3 and whatver you do to the top you do to the bottom so it would be 10 times 3 which would equal 30! (:

Answer:

C - 30

Step-by-step explanation:

Since one side of the smaller diamond is 12 and the side on the bigger diamond is 36 it is 3 times the perimeter on each side so since the side on the small diamond is 10 then you would times it by three to get the perimeter of the side on the bigger diamond , which is 30 .

13. Jake earns 15% commission on the total amount he sells. If he sells $545 worth of items, how much commission

does Jake earn? A. $21.33 B. $36.33 C. $54.50 D. $81.75

Answers

Answer:

Option D - $81.75

Step-by-step explanation:

Given : Jake earns 15% commission on the total amount he sells. If he sells $545 worth of items.

To find : How much commission  does Jake earn?

Solution :

Using the commission formula,

[tex]\text{Commission}=\text{Sales}\times \text{Percentage}[/tex]

[tex]\text{Commission}=\$545\times 15\%[/tex]

[tex]\text{Commission}=545\times \frac{15}{100}[/tex]

[tex]\text{Commission}=81.75[/tex]

Therefore, commission  does Jake earn is $81.75.

So, option D is correct.

Solve the equation using the quadratic formula.
-x^2+27 = 6x
x=-3, X=9
X=-3X=3
x=-9,f=3
x=-9, x=3​

Answers

The value of x is -9 and 3.Option D.

Step-by-step explanation:

Given,

[tex]-x^{2} +27 = 6x[/tex]

To find the value of x.

We will apply middle term factor formula.

The given equation can be written as,

[tex]x^{2} +6x-27 = 0[/tex]

or, [tex]x^{2}[/tex]+(9-3)x-27 = 0

or, x²+9x-3x-27= 0

or, x(x+9)-3(x+9)=0

or, (x+9)(x-3) = 0

So, x = -9 and x = 3

Hence,

The correct option is Option D.

8. sin 38 = x/16 what does x equal​

Answers

2.375

Answer:

if the slash (/) is  dividing then your answer would be

608

if the slash (/) means to multiply your answer would be

2.375

Step-by-step explanation:

if you were dividing then you have to do the opposite equation.In this case the opposite of dividing is multiply. Multiply the numbers you have then it will give your missing factor.

(Same goes with multiplying)

Arrange these numbers from least to greatest: -2.5, 2/5, 5/2, -5.2

Answers

Answer:

-5.2, -2.5, 2/5, 5/2

Step-by-step explanation:

Arrange it

The dimensions of a garden are shown.
Write an expression to find the perimeter.

Answers

Answer:

P=3x-14

Step-by-step explanation:

P=2(x+1/2 x-7)

=2x+x-14

or P=3x-14

The perimeter of the garden will be;

⇒ 3x - 7/2

What is mean by Rectangle?

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

The garden is shown in figure.

Width of garden = 1/2x - 7

Length of garden = x

Now,

Since, Width of garden = 1/2x - 7

Length of garden = x

Hence, The perimeter of garden = 2 (Length + Width)

⇒ The perimeter of garden = 2 (x + 1/2x - 7)

⇒ The perimeter of garden = 2 (3/2x - 7)

⇒ The perimeter of garden = 3x - 7/2

Thus, The perimeter of the garden will be;

⇒ 3x - 7/2

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What is the maximum recommended slope for straight-run stair?

A) 7-1/2" riser, 10" tread
B) 7' riser, 10" tread
C) 7-3/4" riser, 10-1/2" tread
D) 10" riser, 7-1/2" tread

Answers

D 10” riser , 7-1/2 treas

can i please know the answer

Answers

Answer:

3840 cubic inches

Step-by-step explanation:

10*24 = 240 in

240*16 = 3840 cubic in

shape 2
shape 1
8
10
12
14
16
Shape 1 and shape 2 are plotted on a coordinate plane. Which statement about the shapes is true?
A.
Shape 1 is congruent to shape 2, which can be shown using a sequence of dilations and translations.
B.
Shape 1 is not congruent to shape 2 because the shapes do not have the same absolute coordinates.
C.
Shape 1 is congruent to shape 2, which can be shown using a translation
D.
Shape 1 is not congruent to shape 2 because a sequence of rigid transformations will not map shape 1 ontos

Answers

Answer:

a)shape 1 is congruent to shape 2 which can be shown using a sequence of dilutions and translations

Which points are on the graph of g(x)=(1/5)^x ? Select each correct answer. (3, 1/125) (−2, 1/25) (1, 0) (−1, 5)

Answers

Answer:

(3,1/125) and (-1,5)

Step-by-step explanation:

plug in the first coordinate (x-coordinate) in each pair for x in the original equation and the second coordinate (y-coordinate) for g(x)

1) Find f(0) when f(x) = x2 - 4x - 4.
A) 16
B) -8
C) -4
D) 4

Answers

Answer: -4

Step-by-step explanation:

If you replace x for 0 it will eliminate the variable. The only remaining term without a variable is -4

the answer is -4
when f(x) is zero you multiply everything that has an “x” with 0

Find the equation of the line. Use exact numbers.
y = __x + __

Answers

Answer:

y   = 3x+3

Step-by-step explanation:

We know the y intercept since it crosses the y axis at (0,3) and we know the x intercept since it crosses the x axis at (-1,0)

We can fidn the slope

m = (y2-y1)/(x2-x1)  (0,3) (-1,0)

     =(0-3)/(-1-0)

     = -3/-1

      =3

The equation for the line is in the form

y = mx +b where m is the slope and b is the y intercept

y   = 3x+3

Find the value of x
Options being
A) 27
B) 4
C) 2
D) 8

Answers

Answer:

B

Step-by-step explanation:

81 = 9 × 9 = 3 × 3 × 3 × 3 = [tex]3^{4}[/tex]

Thus the [tex]\sqrt[4]{81}[/tex] = [tex]\sqrt[4]{3^{4} }[/tex] = 3

Hence x = 4 → B

The table shows the height of a tree for various years after it was planted. Using the line of best fit, how tall would the tree be 30 years after it was planted?
A) 22 Feet
B) 36 Feet
C) 37 Feet
D) 23 Feet

Answers

the answer is C) 37 feet
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