In triangle ABC points M and N lie on sides AB and BC, respectively such that MN∥ AC . Segments AN and CM intersect at point K and AK = KC. Prove that △ABC is isosceles.

Answer:

Step-by-step explanWhat i usually do for these problems is because pecent is out of 100, just subtract the percent from 100 percent and multiply that ammount to the original price, so 40 * (100%-30%)= 40 * 70% or 40 * 0.7, so the answer would be 28

Answer:

See steps below

Step-by-step explanation:

We need to work with each side of the equation at a time:

Left hand side:

Write all factors using the basic trig functions "sin" and "cos" exclusively:

[tex]tan^2(x)\,cos^2(x)=\frac{sin^2(x)}{cos^2(x)} cos^2(x)=sin^2(x)[/tex]

now, let's work on the right side, having in mind the following identities:

a)  [tex]sec^2(x)-1=tan^2(x)=\frac{sin^2(x)}{cos^2(x)}[/tex]

b) [tex]1-sin^4(x) =(1-sin^2(x))\,(1+sin^2(x))[/tex]

c) [tex]1-sin^2(x)=cos^2(x)[/tex]

Then replacing we get:

[tex]\frac{(sec^2(x)-1)\,(1-sin^4(x))}{1+sin^2(x)} =\frac{sin^2(x)(1+sin^2(x))(1-sin^2(x))}{cos^2(x)(1+sin^2(x)))} =\frac{sin^2(x)(1+sin^2(x))\,cos^2(x)}{cos^2(x)(1+sin^2(x)))}=sin^2(x)[/tex]

Therefore, we have proved that the two expressions are equal.

Answer:

3.1 cm    

Step-by-step explanation:

i did it on edge 2021

CHECK THE COMPLETE QUESTION AND ITS ATTACHMENT BELOW

circle O, and are diameters. Arc ED measures 17°. Circle O is shown. Line segments F C and A E are diameters. Line segments C O and B O are radii. Point B is between points A and C, and point C is between points E and C. Angle D C is a right angle. What is the measure of Arc E F C? 107° 180° 253° 270°

Answer:

Arc EFC = 253°

Step-by-step explanation:

From the attachment, we know we are dealing with a circle which has

360 degrees.

If we check that attachment we can deduced that we have

Arc EFC

Arc CD

Arc DE

And everything together give us 360,

Arc EFC + Arc CD + Arc DE = 360

It an established rule that the central angle of an intercepted arc is equal to the measure of the arc, then if we check the figure again,

Arc CD is 90 degrees since the central angle is 90 degrees given

Arc DE is 17 degrees

Arc EFC + Arc CD + Arc DE = 360

If we input all the figures

Arc EFC + 90 + 17 = 360

Arc EFC + 107 = 360

Arc EFC = 360 - 107

Arc EFC = 253

Thefore, Arc EFC = 253°

Answer: c 253

egde 23

Step-by-step explanation:

Answer:

It will take 25.7 minutes when they are working together

Step-by-step explanation:

Here, we want to know how long it will take both pipe working together to drain the tank

Let the volume of water to be drained be xL

for the first one, rate is

x/45 L/minutes

for the second x/60 L/minutes

Joint rate will be

x/45 + x/60 = 4x + 3x/180 = 7x/180

Now go get the time involved here, we simply divide the volume by the rate

That would be;

x divided by 7x/180

= x * 180/7x

= 180/7 = 25.7 minutes

f ( x ) = x² + 144

=> x² + 144 = 0

=> ( x + 12 ) ( x - 12 ) = 0

=> x + 12 = 0 and x - 12 = 0

=> x = -12 and x = 12

So,the zeroes of f are -12 and 12 .

Answer:

The value of tan F = 8/15  or  0.533333

Step-by-step explanation:

To find the value of tan F, we will follow the steps below;

We will use trigonometric ratio. that is;

SOH CAH TOA

sin Ф = opposite / hypotenuse

cosФ = adjacent/hypotenuse

tan Ф = opposite/adjacent

if Ф = F

then opposite = DE = 8

adjacent = EF = 15

web can now proceed to insert the values into the formula

tan F = opposite/ adjacent

tan F = 8/15

tan F = 0.5333

tanF = oppos

Answer:

2 and 8

1 and 3

Step-by-step explanation:

statement a+b < a*b

-2 + -8 < -2 * -8 => -10 < 16 TRUE

-1 + -3 < -1 * -3 => -4 < 3 TRUE

1+3 < 1*3 => 4 < 3 FALSE

2 + 8 < 2 * 8 => 10 < 16 FALSE

Answer:

Step-by-step explanation:

What do u need help with? I might be able to help you out :)

Answer:

A) 480cm^3

B) 35 cm^2

Step-by-step explanation:

Given two similar solids

Volume of A = 60cm^3

Surface area of B = 140cm^2

Side A = 3

Side B = 6

NB: if two solids are similar, the ratio of their volume equals the cube of the corresponding proportion of their linear measure.

That is :

Volume A / volume B = (side A / side B)^3

(60 / volume B) = (3 / 6)^3

(60 / volume B) = (1/2)^3

(60 / volume B) = (1/8)

Volume B = 480cm^3

B) the surface area:

NB: if two solids are similar, the ratio of their surface areas equals the square of the corresponding proportion of their linear measure.

Surface area A / surface area B = (side A / side B)^3

(surface area A / 140) = (3 / 6)^2

(surface area A / 140) = (1/2)^2

(surface area A / 140) = 1/4

4 × surface area A = 140

Surface area A = 140/4

Surface area of A = 35cm^2

Answer:

A=480

B=35

Step-by-step explanation:

Answer:

0.13

Step-by-step explanation:

change of heat: 35-25 =10 degrees

mass=20

energy=26

c =??

c = Q / (m * ΔT)

   =26/20*10= 26/200=0.13 J/g*k

Answer:

-23, 5

Step-by-step explanation:

JK = 14 and K = -9

J could be on the left or the right of -9

Add 14 to -9

14+-9 = 5

So J could be at 5

Subtract 14 from -9

-14-9 = -23

Answer:

Step-by-step explanation:

9y=2

-4x+y=-35

____________

-4x=-y-35

-4x+35=-y

4x-35=y

____________

9(4x-35)=2

36x- 315=2

36x=317

x=8.8055555555555555555555555555555555 you get the idea

Answer:

[tex]14/3[/tex]

Step-by-step explanation:

[tex]4.66666666667[/tex]

[tex]0.66666666667=2/3[/tex]

[tex]4\frac{2}{3}[/tex]

[tex]14/3[/tex]

The fraction form of a number 4.66666666667 is,

⇒ 40 / 9

We have to given that;

A number is,

⇒ 4.66666666667

And, We can change it into fraction.

Let us assume that,

⇒ x = 4.66666666667  .. (i)

Multiply by 10;

⇒ 10x = 46.66666666667 .. (ii)

Subtract (ii) form (i);

⇒ 10x - x = 40

⇒ 9x = 40

⇒ x = 40 / 9

Thus, The fraction form of a number 4.66666666667 is,

⇒ 40 / 9

Learn more about the fraction visit:

https://brainly.com/question/5454147

#SPJ6

Answer:

height = 3000m

Step-by-step explanation:

In order to calculate the height reached by the airplane, you first calculate the distance traveled by the airplane in one minute. The distance is given by:

[tex]d=vt[/tex]    (1)

v: speed of the airplane = 100m/s

t: time = 1 min = 60 s

you replace in the equation (1):

[tex]d=(100m/s)(60s)=6000m[/tex]

The distance traveled by the airplane while it is going up, can be considered as a hypotenuse of a rectangle triangle.

The angle at which the airplane started to fly was 30°. Then, you can use the following trigonometric relation to calculate the height:

[tex]sin(30\°)=\frac{height}{d}\\\\height=dsin(30\°)=(6000m)sin(30\°)=3000m[/tex]

hence, the height reached by the ariplane is 3000m

Answer:d

Step-by-step explanation:

Answer:

Step-by-step explanation

Answer: -6

Step-by-step explanation:

To find the slope, you can take any 2 coordinates. Let's use (0,-4) and (1,-10).

The formula to find slope is [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]. We can fill it in with our coordinates.

[tex]\frac{-10-(-4)}{1-0} =\frac{-6}{1}[/tex]. Our slope is -6.

Answer:

40

Step-by-step explanation:

Since the probability to choose a blue marble is 1/9, there must be 5 blue marbles since 45 * 1/9 = 5

Subtract 5 from 45 to get 40, since the rest of the marbles are red.

Answer: 12

Step-by-step explanation:

For this problem, all you have to do is plug in x=2 into all the x you see.

-3(2)+1.5+2.5(2)-4.5+8(2)

-6+1.5+5-4.5+16=12

Answer:

Replace the variable x = 2 in the expression.

−3⋅2+1.5+2.5(2)−4.5+8(2)

Simplify each term.

multiply −3 by 2 .

−6+1.5+2.5(2)−4.5+8(2)

Multiply 2.5 by 2.

Multiply 8 by 2.

−6+1.5+5−4.5+16

Simplify by adding and subtracting.

Tap for fewer steps...

Add −6 and 1.5

−4.5+5−4.5+16

Add −4.5 and 5.

0.5−4.5+16

Subtract 4.5 from 0.5.

−4+16

Add −4 and 16.

= 12

Step-by-step explanation:

===============================================================

Explanation:

The first step is to locate point M. It is at (-3, -5). Ignore the other points as your teacher is not asking to transform them.

Reflecting point M over the line y = -3 will have us move 2 units up to arrive at the line of reflection, and then we move 2 more additional units up to get to N = (-3, -1).

Now reflecting point N over the line y = 2 will have us move (-3,-1) three units up to get to the line of reflection, and then we move up another 3 units to get to P = (-3,2) which is the last stop. This is also the location of point M'.

See diagram below.

--------

Extra info: Overall, those two reflections combine to a translation of shifting 10 units up. Algebraically, we can write the translation rule [tex](x,y) \to (x,y+10)[/tex]. Two reflections only turn into a translation if and only if the lines of reflection are parallel.

Answer:

72 / period  of time which is 2 = 36

36 / 3% = 36 / 0.03 = 1200

1200 is your answer

Now double check

1200 x 0.03 = 36

36 x 2 = 72

Hope this helps 1200 is your answer

Step-by-step explanation:

Answer:

91

Step-by-step explanation:

You add the two measures of the intercepted arcs and divide by 2 to get the measure of the central angle.

Hope this helped!! Please leave a rating and/or mark me the BRAINLIEST!!! Thank You :)

Answer:

91

Step-by-step explanation:

You add the two measures of the intercepted arcs and divide by 2 to get the measure of the central angle.

Hope this helped!! Please leave a rating and/or mark me the BRAINLIEST!!! Thank You :)

Answer:

The range can only tell you basic details about the spread of a set of data. By giving the difference between the lowest and highest scores of a set of data it gives a rough idea of how widely spread out the most extreme observations are, but gives no information as to where any of the other data points lie.

Step-by-step explanation:

Answer:

x = 7

Step-by-step explanation:

3x-1/9(27) = 18

x = 21/3

=7

Answer:

B. 7

Step-by-step explanation: Took test

Answer:

c

Step-by-step explanation:

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!

Answer:

1.96

Step-by-step explanation:

a^2 + b^2 = c^2

4.6^2 + b^2 = 5^2

21.16 + b^2 = 25

b^2 = 3.84

b = 1.959591

Answer:

V = 13 65⁄72 ft3

Step-by-step explanation:

V = 13⁄4 ft × 7⁄3 ft × 11⁄6 ft

V = 1,001⁄72 ft3

V = 13 65⁄72 ft3