How do I solve this problem?

How Do I Solve This Problem?

Answers

Answer 1

Answer:

KN = 72

Step-by-step explanation:

ΔKPL and ΔKNM are similar.

∠KLP = ∠KMN (Because PL and NM are parrallel)

∠KPL = ∠KNM (Because PL and NM are parrallel)

∠NKM = ∠PKL (Same angle, Common)

Now, Both the trianlges are similar just there is a size difference.

First we need to find scale factor, therefore:

[tex]\frac{KL}{LM}[/tex] = [tex]\frac{11}{55}[/tex] = [tex]\frac{1}{5}[/tex]

Now we know the scale factor is  [tex]\frac{1}{5}[/tex] therefore:

[tex]\frac{KP}{PN}[/tex] = [tex]\frac{PK}{60}[/tex]

To find PK we times 60 by [tex]\frac{1}{5}[/tex] therefore:

Answer is 12

Now KN is PK+ PN threfore:

KN is 72

Please mark as brainliest if found useful!

Thanks!


Related Questions

please help! what graph matches what equation?

Answers

Answer:

A Graph = C ; B Graph = D ; C Graph = B ; D Graph = A

Step-by-step explanation:

Answer:

a. = C.

b. = D.

c. = B.

d. = A.

Step-by-step explanation:

Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!!!!

Answers

Answer:

5

Step-by-step explanation:

(125) ^ 1/3

What number multiplied by itself 3 times is 125

5*5*5

25*5

125

Answer:

5

Step-by-step explanation:

5^3=125

So the cube root of 125 is 5.

Write a rule for the following

Input Output

1 3

2 7

3 11

Answers

Answer:

Okay: y = 4x - 1

Step-by-step explanation:

So,

1 x 4 = 4 - 1 = 3

2 x 4 = 8 - 1 = 7

3 x 4 = 12 - 1 = 11

Hope this helps you. :)

Have a good day!

(brainliest would be appreciated)

PQ has endpoints P(6,-3) and Q(-2,-7). Find the coordinates of the midpoint of PQ.

Answers

So the right answer is (2,-5)

please see attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

Midpoint (2 , -5)

Step-by-step explanation:

RULE: (midpoint)

Consider P(x1,y1)and Q(x2,y2) two points:

the midpoint M(x,y) of the segment PQ is defined like this:

[tex]x = \frac{x1+x2}{2} \\\\y=\frac{y1+y2}{2}[/tex]

In our case

x1 = 6 ; y1 = -3

x2 = -2 ; y2 = -7

then

[tex]x = \frac{6+(-2)}{2} =2\\\\y = \frac{(-3)+(-7)}{2} =-5[/tex]

what is 8.92 x 106 in standerd form

Answers

[tex]8.92 \times 10^6[/tex]

[tex]8920000[/tex]

Answer: 945.52

Step-by-step explanation:

Lisa’s test grades are 79, 89, and 90.

What is Lisa’s test average?

Answers

So you do 79+89+90=258 then you take 258/3=9.3 so you would get a 93% test average
Hope this helps

Answer:

Lisa's text average is 86 :))

Step-by-step explanation:

add all numbers up then divide them by 3.

One night, it is 24 ℃ warmer in Tucson than it was in Minneapolis. If the temperatures in Tucson and Minneapolis are opposites, what is the temperature in Tucson?

Answers

Answer:

The temperature in Tucson is [tex]12\,^{\circ}C[/tex].

Step-by-step explanation:

Let be [tex]T[/tex] and [tex]-T[/tex] the temperatures registered in Tucson and Minneapolis, respectively. The difference between both temperatures is:

[tex]T - (-T) = 24\,^{\circ}C[/tex]

[tex]2\cdot T = 24\,^{\circ}C[/tex]

[tex]T = 12\,^{\circ}C[/tex]

The temperature in Tucson is [tex]12\,^{\circ}C[/tex].

Answer:

The temperature in Tucson is 12°C, and that of Minneapolis is -12°C.

Step-by-step explanation:

Let the temperature in Tucson = T

And the temperature in Minneapolis = -T. Because the temperatures are opposites.

Since we know that it is 24°C warmer in Tucson that it was in Minneapolis, then

T - (-T) = 24

T + T = 24

2T = 24

T = 24/2

= 12

Therefore, the temperature in Tucson is 12°C, and that of Minneapolis is -12°C.

help please? what is the following quotient?

Answers

Answer:

√(30) - 3√(2) + √(55) - √(33) / 2

Step-by-step explanation:

please answer thanks























i have 4 more questions after this

Answers

Answer:

Step-by-step explanation:

[tex]V= ?\\r = 2\\h = 5\\\pi = 3.14\\\\V = \frac{1}{3} \pi*r^{2} *h\\\\V = \frac{1}{3} *3.14*2^{2} *5\\\\V= \frac{1}{3} *12.56*5\\\\V= \frac{1}{3}* 62.8\\\\V = 20.93333333\\\\\\V = 20.93[/tex]

In terms of pi

[tex]V= ?\\r = 2\\h = 5\\V = \frac{1}{3} \pi*r^{2} *h\\\\V= \frac{1}{3} *\pi*2^{2} *5\\\\V = \frac{1}{3} \pi*20\\V= 6.67\pi\\[/tex]

Angle C is opposite blank.

Answers

Answer:

Option C is the correct answer.

Step-by-step explanation:

[tex] \angle C[/tex] is opposite [tex] \overline{AB} [/tex]

OBC is a sector of a circle with centre o and radius 9cm work out the area of the shaded region as a percentage of the area of sector obc to 1 decimal place

Answers

Answer:

83.7 %

Step-by-step explanation:

To get the area of the shaded region, we will following these steps.

Step one: Get the area of the sector of the circle.

The area of the sector of the circle can be obtained using the formula:

[tex]Area = \frac{\theta}{360}\times \pi r^{2}[/tex]

Theta will be 60 degrees because triangle OAD is an equilateral triangle

Hence, [tex]Area = \frac{60}{360}\times \pi \times 9^{2}= 42.42cm^{2}[/tex]

Step Two: Get the area of the equilateral triangle

The area of the equilateral triangle can be got using the formula

[tex]Area = \frac{1}{2} Base \times Height[/tex]

The height of the triangle can be got by drawing an imaginary line bisecting the triangle into two parts and applying the Pythagoras' theorem to any of the resulting right-angled triangles formed.

This will be [tex]height =\sqrt{4^{2}-2^{2}} =3.46cm[/tex]

Thus [tex]Area = \frac{1}{2}\times 4\times 3.46=6.93cm^{2}[/tex]

Step Three: Subtract the area of the triangle from the area of the sector

Area of the shaded portion = [tex]42.42cm^{2}-6.93cm^{2}=35.49cm^{2}[/tex]

Step Four: Divide the area of the shaded portion by the area of the entire shape and multiply the result by 100:

Expressing the ratio of the two areas as a percentage, we have

[tex]\frac{35.49}{42.42} \times 100\approx 83.7 %[/tex] %

I need to know the answer for “x” please!

Answers

Answer:

x r 1.26 cm

Step-by-step explanation:

This can easily be solved by congruence.

Both triangles have the same proportions.

9.8 : 8.8 = (2 + 9.2) : (x + 8.8)

Because these are proportional, we can use and write this as if they were fractions.

9.8 / 8.8 = (2 + 9.2) / (x + 8.8)

multiply crosswise, gives:

9.8 * (x + 8.8) = (2 + 9.2) * 8.8

9.8 * x + 9.8 * 8.8 = (11.2) * 8.8

9.8 * x + 86.24 = 98.56

9.8 * x = 98.56 - 86.24

9.8 * x = 12.32

Divide left and right of the = sign by 9.8 gives,

x = 12.32 / 9.8

x = 1.2(571428)

x = 1.26 cm

Would side lengths 5,7, and 10 form a triangle?

Answers

Answer:

Yes

Step-by-step explanation:

Add any two sides and see if it is greater than the third   for all three sides

5+7 > 10  true

7+10 > 5  true

10+7 > 5  true

Then the three sides form a triangle

evaluate 3×-14, when ×=5​

Answers

Answer:

1

Step-by-step explanation:

Plug in the x value.

3(5)-14

3(5)=15

So then you do 15-14

Which equals to 1

Hope this helps! Plz mark brainliest!!

Answer:

1

Step-by-step explanation:

1. 3(5)-14     first substitute

2. 15-14

3. 1

do what you gotta do. helppp meh

Answers

Answer:

A

Step-by-step explanation:

11.4-15.7 = -4.3

Answer:

A. -4.3 F

Step-by-step explanation:

Originally you started with 11.4 F, and the question said it decreased by 15.7 F so that basically means you subtract the final condition from initial,

11.4 F - 15.7 = -4.3 F, so at night it was -4.3 F cold.

If you think about this question in terms of apples. Originally I gave you 12 apples to keep for a day. When I returned home at 7pm the numbers of apples decreased by 8. So bascially my final apples will be 12- 8 = 4 apples remaining.

David leaves the house to go to school. He walks 200 meters west and
125 meters north. How far away is he from his starting point (the diagonal)?


Answers

Pythagorean Theorem, where a^2+b^2=c^2. Just plugging in the numbers:
200^2 + 125^2=C^2
40,000 + 15,625=C^2
55,625=C^2
Then just take the square root
C=235.8495
If the number needs to be rounded then 236 meters.

Please help me it’s geometry I need help

Answers

Answer:

B-1

Step-by-step explanation:

You can draw a vertical line of symmetry in the middle of the figure. This would be one line.

Answer: B.1


symmetry means that one shape becomes exactly like another when you move it in some way: turn, flip or slide. For two objects to be symmetrical, they must be the same size and shape, with one object having a different orientation from the first.

Isaac is constructing a circular pool that has a diameter of 20 ft and is 5 ft deep. Part A: Find the circumference of the pool to the nearest tenth of a foot. Use 3.14 for pi. Part B: Find the area of the circle formed by the pool to the nearest foot.

Answers

Answer:

The circumference of the pool is 62.8 foot long and the area of the circle formed by the pool is 314 ft².

Step-by-step explanation:

The circumference of the pool can be found by calculating the arc's length of the edges of the pool. This is done by using the following formula:

[tex]circumference = 2*\pi*r[/tex]

Where the radius is half the diameter, applying the data from the problem we have:

[tex]circumference = 2*3.14*10 = 62.8 \text{ ft}[/tex]

The area of the circle formed by the pool can be found using the following expression:

[tex]area = pi*r^2 = 3.14*(10)^2 = 314 \text{ ft}^2[/tex]

The circumference of the pool is 62.8 foot long and the area of the circle formed by the pool is 314 ft².

The ratio of boys to girls in a school is 4:5. How many boys are in the school if there are 720 students.

Answers

Answer:

There are 320 boys

Step-by-step explanation:

boys: girls : total

4         5         4+5 = 9

Take the total and divide by 9

720/9 = 80

Multiply each term by 80

boys: girls : total

4*80  5*80    9*80

320    400    720

There are 320 boys

Answer:

324 boys

Step-by-step explanation:

Add the ratio, 4+ 5 = 9 and divide 720 with nine. Then multiply that value, 81, with 4 to find the number of boys, and multiply with 5 to get the girls

What is the equation of the line of best fit for the following data round the slope and Y intercept of the line to three dimensional places. Please help ASAP thank you so much.

Answers

Answer:

y = 1.56 x - 4.105

which agrees with answer "B" in your list of possible options.

Step-by-step explanation:

Notice that you are expected to use some type of regression tool for this problem. either a computer program or a handheld graphing calculator with such functionality.

I have entered the set of data points in two separate lists, one for the x-values,and another one for the y-values, and run the linear regression tool in order to get the best fitting line. See what I obtained using this tool in the screen capture I am attaching below.

Notice that the line of best fit reads:

y = 1.56015038 x - 4.10526316

showing clearly the slope and y-intercept of the line of best fit.

Rounding slope and y-intercept to the third decimal, we get:

y = 1.56 x - 4.105

which agrees with answer "B" in your list of possible options.

I’m not so sure but I think the answer is B. If it’s wrong I’m sorry:(.
.
.
.
You can also use Desmos for these kinds of questions. (It’s a graphing app)

Jeremy caught 8 fish in a contest the mean weight of his fish was 4.1375. he forgot the weight of he 8th fish the first seven were 4.1 5.7 6.1 2.3 3.1 4.5 4.1 what is the wight of the 8th fish someone please help me i don't understand

Answers

Answer:

Step-by-step explanation:

Firstly,

What is the mean?

The mean is where you add up all the number then divide the total by how many numbers there are.

8th number?

1.4.1

2. 5.7

3. 6.1

4. 2.3

5. 3.1

6. 4.5

7. 4.1

8. x

Opposite way:

4.1 + 5.7 + 6.1 + 2.3 + 3.1 + 4.5 + 4.1 = 29.9

(29.9 x) / (8) = 3.7375

3.7375 + x = 4.1375

4.1375 - 3.7375 = 0.4

Please help! ............................................

Answers

Answer:

B. 20

Step-by-step explanation:

60 = 2x + 20

40 = 2x

40/2 = 2x/2

20 = x

Hope this helps :)

Answer:

B. 20

Step-by-step explanation:

Which inequality is represented by this graph?

Answers

Answer: C

Step-by-step explanation:

We can say that the equaiton of the line is -1/6x+1, considering that is in each answer choice. Than main part is the shading and inequality. If you look closely at the graph, the shading line is a dashed/dotted line. This means the shaded part does not equal the actual line. We can eliminate B and D.

Now, we are left with A and C. A is saying y< while C is saying y>. C is the correct answer because if you look at the shading, it it above the line, which is greater than. Therefore, the answer is C.

need help!! plzz help asap​

Answers

Answer:

answer is 12

Step-by-step explanation:

because 5×4=20

so u have to multiply 4 and three

3×4=12

and u can reduce it to

6/10 and reduce it again to

3/5

Consider this system of linear equations: y = –3x + 5 y = mx + b Which values of m and b will create a system of linear equations with no solution?

Answers

Answer:

m = - 3 and b = - 3.

Step-by-step explanation:

A system of linear equations will not have solutions if the two lines are parallel.

Two equations are parallel:

1. if their slopes (m) are equal

2. the y-intercep (b) are different.

As y = - 3x + 5, the value of m of the other equation, y = mx + b, in order to make a system with no solution, needs to be  - 3, and the value of b need to be different to 5.

The only pair from the choices that meets that is the first option m = - 3 and b = -3.

Answer:

m = -3, b = 5

Step-by-step explanation:

The values m = -3 and b = 5, forms a linear equation: y = -3x + 5. This obviously coincides with the original equation given, and so will create a system of linear equations with no solution.

Telephone pole breaks and falls as shown. To the nearest foot, what was the

original height of the pole? they are 7 ft and 10 ft pls explain how u got the answer and the choices r a.19ft. b.17ft. c.20ft. d.18 ft pls find the answer for me

but its a triangle and in the bottom it has number 10 and in the long side of the triangle is 7

Answers

Answer:

Length of the pole = 12.2ft

Step-by-step explanation:

Hello,

According to your description, the pole against a wall of height 7ft and the distance between the base of the pole to the wall is 10ft.

See attached document for better illustration.

To solve this problem, we'll have to make use of pythagorean theorem

According to pythagorean theorem,

X² = y² + z²

X = ?

Y = 10ft

Z = 7ft

X² = 10² + 7²

X² = 100 + 49

X² = 149

X = √(149)

X = 12.2ft

The length of the pole is 12.2 ft

Unfortunately, the length of the pole does not corresponds with any of the answers above, but this is actually the right answer.

Good luck

The number of flowers, f, that a gardener can plant along a border of a garden varies inversely with the distance d (in inches) between the flowers. If the gardener can fill the border with 30 flowers planted 12 inches apart, how far apart should the gardener plant 36 flowers instead?

Answers

Answer:

d=20

       

Hope it helps :]!!!!!!!

Describe fully the single transformation that maps triangle a onto triangle b

Answers

Answer:

Triangle (A) reflected over the line y = x

Step-by-step explanation:

From the figure attached,

Coordinates of the vertices of triangle (A) are A(1, 4), B(1, 2) and C(2, 2)

After transformation of triangle A, coordinates of the vertices A', B' and C' of the image triangle (B) are,

A'(4, 1), B'(2, 1) and C'(2, 2)

Lets choose point A to find the rule of transformation,

A(1, 4) → A'(4, 1)

Rule → (x, y) → (y, x)

It shows triangle (A) has been reflected across a line y = x.

Therefore, triangle (A) maps onto triangle (B) when reflected over the line y = x.

Write the expression
Divide y by 9 then subtract z from the result

Answers

Answer:

Bruh its not that hard, but ill answer it. answer is below

Step-by-step explanation:

Divide y by 9 then subtract z from the result

We know that y divided by 9 is y/9

and the you subtract z from it: y/9-z

but i think that since it says "subtract z FROM THE RESULT"

I think it is

(y/9)-z

An open window is at the height of 15 ft above the ground. A ladder is placed 8 ft away from the side of the house. What will be the length of ladder needed to reach to the window of the house?

Answers

Answer: 17 feet

Step-by-step explanation:

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