Consider the points A (-1, 1), B (1,5) and C (5, 1). M is the midpoint of AB, and N is the
midpoint of BC.
Show that MN is parallel to AC

Answers

Answer 1

Step-by-step explanation:

IN ΔAMN ΔABC

Since MN∣∣BC

∠AMN=∠ABC (Corresponding angles)

∠ANM=∠ACB (Corresponding angles)

∴ΔAMN∼ΔABC(By $$AA similarity criterion)

AB

AM

=

AC

AN

=

BC

MN

(CPST)

Since, M is mid-point of AB,

AM=

2

1

AB,or,

AB

AM

=

2

1

or,

AB

AM

=

AC

AN

=

2

1

AC

AN

=

2

1

5

AN

=

2

1

[∵AC=5cm]

AN=

2

5

cm=2.5cm

Also,

AB

AM

=

BC

MN

=

2

1

7

MN

=

2

1

[∵BC=7cm]

MN=

2

7

=3.5

Ans=AN=2.5cm and MN=3.5cm

solution


Related Questions

Can someone help me with this problem

Answers

Answer:

51 degrees

Step-by-step explanation:

As we already know that this triangle is a right triangle.

To find x, you need to subtract both angles.

90 - 39

= 51

rectangle has its vertices at M(1,1), N(6,1), O(6,5), P(1,5). The rectangle is translated to the left 4 units and down 3 units. What are the new coordinates? (Answer Format: M(#,#) N(#,#) O(#,#) P(#,#))

Answers

Answer:

7aabbbjdkdbdjdkxbsks n sbs

Jsksbakabkabdvdiavsjwkdbsbq

Find the distance between the points (–10,3) and (–2,3).

Answers

Answer:

8

Step-by-step explanation:

10 - 2

4.) Select ALL equivalent expressions to 5x – 5.5. a) 5x -55 c) 5(x - 1.1) b) 2x - 3 + 3x - 2.5 ) 5.5(x - 1)​

Answers

Answer:

1. (-125 a - 5.75) x + b c (605 x - 550 x^2) + 10.75

2. -125 a x + x (-550 b c x + 605 b c - 5.75) + 10.75

3. 0.25 (-500 a x - 220 b c (10 x - 11) x - 23 x + 43)

Step-by-step explanation:


HELPPP!!
Find the value of x in the parallelogram!

Answers

Answer:

x = 17

Step-by-step explanation:

Area of a parallelogram:

A = bh

Given:

A = 153

b = 9

Work:

A = bh

h = A/b

h = 153/9

h = 17

3. In chemistry, Isaac can mix the correct solution in 20 minutes. Together,
Isaac and Newton can mix the same solution in 11 minutes. How long
does it take Newton to mix the solution when he is working alone

Answers

I think the answer would be 9 but i’m not sure.

help me with this please

Answers

Answer:

XY=47

Step-by-step explanation:

1. Set up an equation for the perimeter of the rectangle. 2(5y-3)+2(4y)=174.

2. Simplify.

apply the Distributive Property. 2(5y-3)+2(4y)=10y-6+8ycombine like terms. 10y-6+8y=18y-6

3. Therefore, 18y-6=174.

4. +6 to both sides of the equation. the equation becomes 18y=180.

5. divide 18 to both sides of the equation. y=10.

6. the length of side XY=5y-3. substitute the value of y into the expression: 5(10)-3=50-3=47.

The range of a projectile that is launched with an initial velocity v at an angle of a with the horizontal is given by R

sin

where g is the acceleration due to gravity or 9.8 meters per second squared. If a projectile is launched with an initial velocity of 1

meters per second, what angle is required to achieve a range of 20 meters? Round answers to the nearest whole number.

Answers

Answer:

[tex]\theta=30.285^{\circ}[/tex]

Step-by-step explanation:

The range of a projectile is given by :

[tex]R=\dfrac{u^2\sin2\theta}{g}[/tex]

Put R = 20 m, u = 15 m/s and finding the value of angle of projection

So,

[tex]R=\dfrac{u^2\sin2\theta}{g}\\\\\sin2\theta=\dfrac{Rg}{u^2}\\\\\sin2\theta=\dfrac{20\times 9.8}{15^2}\\\\\sin2\theta=0.871\\\\2\theta=\sin^{-1}(0.871)\\\\2\theta=60.57\\\\\theta=30.285^{\circ}[/tex]

So, the required angle of projection is equal to [tex]30.285^{\circ}[/tex].

x
-5
-4
-3
-2
-1
0
1
2.
3
f(x)
14
6
CO
O
-4
-6
-6
-4
0
6
Based on the table, which statement best describes a prediction for the end behavior of the graph of f(x)?
O As x = 0,f(x) = -00, and as x -o, f(x) o
As x = 0,f(x) - 00, and as x = -00,f(x) = 0
O As x - ,f(x) 0, and as x - -0,f(x) --
O AS X - c.f(x) - --, and as x + -0,f(x) ---

Answers

I think it’s the second option sorry if incorrect

The solution is : Option C, function is → f(x) = x + 2

What is function?

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

here, we have,

From the table give in the picture,

Let the linear function represented by the table is,

f(x) = mx + b

Here, m = Slope of the line

b = y-intercept

Slope of a line passing through two points (-2, 0) and (1, 3) will be,

m = y2 - y1 / x2 - x1

  = 1

Equation of the function will be,

f(x) = x + b

Since, a point (1, 3) lies on he given function,

3 = 1 + b

b = 3 - 1

b = 2

Therefore, function is → f(x) = x + 2

Option C will be the correct option.

To learn more on function click:

brainly.com/question/21145944

#SPJ7

complete question:

X f(x)

-2 0

5. Which function matches the function table at the right?

A. f(x) = x+3

B.f(x) = 2x

C.f(x) = x + 2

D. f(x) = 4x - 1

Pls help

Mr. Cox took a taxi from his home to the airport. The taxi driver charged an initial fee of $6 plus $3 per mile. The total fare was $24, not including the tip. How many miles did Mr. Cox travel on his ride? (7.EE.4a)


A 2

B 6

C 8

D 10

Answers

Answer:

B) 6 miles

Step-by-step explanation:

(24 - 6)/3 = 6 miles



If the means of 4,6,9,Y, 16 and 19 is 13, what is the value of y​

Answers

Answer:

-246

Step-by-step explanation:

Add all the numbers together and divide by the amount of numbers added to find the mean. -246 is the only right answer.

Answer:

14

Step-by-step explanation:

To get the mean, you have to add all the numbers together, and then divide them by how many numbers there are. Here, i'll show you.

There are 6 numbers, including [tex]Y[/tex], which we need to find out.

The Equation:  [tex]\frac{4+6+9+Y+16+19}{6} = 13[/tex]

We can simplify this equation into, [tex]\frac{54 + Y}{6} = 13[/tex]

To find [tex]Y\\[/tex], we can do the inverse, and multiply [tex]13[/tex] by [tex]6[/tex].

(The 6 on the left side of the equation is then cancelled out)

[tex]\frac{54+Y}{6} = 13[/tex]  becomes  [tex]54 +Y =13[/tex] × [tex]6\\[/tex][tex]13[/tex] × [tex]6 = 78[/tex] so then [tex]54 + Y = 78[/tex]

For this final equation to be true, [tex]Y[/tex] would have to equal [tex]14[/tex].

Hope the rest of your math goes well :)

please help me thanks!

Answers

Answer:

2^9 (2 to the 9th power) = 512

Step-by-step explanation:

Since 2 is multiplied by itself 9 times, it can be represented as 2^9, which evaluates to 512.

Hopefully this helps - let me know if you have any questions!

PLZ HELP round to the nearest cent!!

Answers

Answer:

$85.09

Step-by-step explanation:

So would it be 85.10

Can someone help me in proving theorems in square pleasee ASAP​

Answers

Step-by-step explanation:

[tex]90 = 4x - 6 \\ 96 = 4x \\ x = 24[/tex]

[tex]2x - 8 = \\ = 48 - 8 = \\ = 40[/tex]

Joe, Josie and Bob has $35 when they put their money together. Joe has half as much as Josie. Bob has four times as much money as Joe. How much money does Josie have?

Answers

Answer: $10

Step-by-step explanation:

Let Josie's money be x

Since Joe has half as much as Josie. Joe's money will be: x/2 = 0.5x

Bob has four times as much money as Joe. Bob's money will be = (4 × 0.5x) = 2x

Therefore, we add all the amount together and equate to $35. This will be:

x + 0.5x + 2x = 35

3.5x = 35

x = 35/3.5

x = 10

Josie has $10


20
94
Find the value of the missing angle

Answers

Answer:

x = 74°

Step-by-step explanation:

supplementary angle to 94° = 86°

x = 180° - 20° - 86° = 74°

WILL GIVE BRAINLIEST PLEASE HELP ASAP, BEST ANSWER GETES BRAINLIEST. NOT A SCAM AND ITS NOT CAP WHAT SO EVER

Answers

Answer:

A. 60 + x = 90

Step-by-step explanation:

Complementary angles add up to 90 degrees so

60 + x = 90

Answer:

The answer is A: 60 + x = 90

Step-by-step explanation:

Complimentary angles are two angles that add up to 90, so the equation 60 + x = 90 is what you need to use to find the complimentary angle. I hope this helps :)

Find the slope And y-intercept

Answers

Answer:

Answer is (a)

Step-by-step explanation:

Well I didn’t really do any work but you can tell right away theres a ton of slope options so you can’t eliminate from there, BUT when you look at the y-intercept, 3 is the only y-intercept option here and the only choice with the y-intercept of 3 is (a).

what is the rate of change for y=38x+20
A. 38
B. 20
C.1
D. it has no term

Answers

Answer:

A

Step-by-step explanation:

To find the x-intercept, we let y = 0 and solve for x and to find y-intercept, we let x=0 and solve for y. Figure out the x-intercept and y-intercept in given equation of the line.
6x + 2y = 12
not bots with links or so help me i will

Answers

Answer:

        X-intercept: (2, 0)          Y-intercept: (0, 6)

Step-by-step explanation:

X-intercept: y=0:

6x +2×0 = 12

6x = 12

 x = 2          

Y-intercept: x=0:

6×0 + 2y = 12

2y = 12

 y = 6      

PLEASE HURRY 12 POINTS PLEASE HELPPPPPP

Answers

Step-by-step explanation:

to find the area of a circle, it is pi times radius squared. so 1 times pi squared is pi^2 the area is 4 plus 2pi^2

At a certain time of day, the angle of elevation is 40°. To the nearest foot, find the height of a tree whose shadow is 31 feet long.

Answers

Answer: Height of tree = 26 ft

Make a triangle ABC with 40 degrees angle. The shadow is the base of the triangle equals 31 feet.

Base = AC = 31

Perpendicular = CB = ?

Hypotenuse = AB

Using trigonometric equation

tan 40 (deg) = CB / AC

CB = Tan 40 x AC

CB = 0.83909 x 31

CB = 26.011

Thus the height of the tree = 26 ft

•°|NO LINKS PLEASE, LOOKING FOR REAL ANSWERS|°•

What is the formula for finding the surface area of a square pyramid?​

Answers

Answer:

a2 + 2al (or) a2 + √a24+h2 a 2 4 + h 2

Step-by-step explanation:

Answer:

SA=L²+2L√(L²/4+H²)

Step-by-step explanation:

Where H is the height and L is the length

The index rises 4.9% over the course of the day. What is the value of the index at the end of the day? Round your answer to the nearest hundred.

Answers

Answer: $70400

Step-by-step explanation:

Attached is the question:

Based on the information given in the question:

Value of Stock X = 5000 × $4.30 = $21500

Value of Stock Y = 2000 × $3.20 = $6400

Value of Stock Z = 8000 × $4.90 = $39200

Total Stock Value = $67100.

Since there's a 4.9% increase in value of index, the value of the index at end of the day will be:

= $67100 × (100% + 4.9%)

= $67100 × 104.9%

= $67100 × 1.049 =

= $70388

= $70400 approximately

Answer:

$70,400

Explanation:

Ap3x

-2( 3x - 1) = -6x - 1

Answers

Answer:

Yes, that equation is right

Step-by-step explanation:

I don’t know why this is a question, however

Answer:

0 = -3

Step-by-step explanation:

Distribution

− 2 ( 3 − 1 ) = − 6 − 1

− 6 + 2 = − 6 − 1

Subraction (2 from both sides)

− 6 + 2 = − 6 − 1

− 6 + 2 − 2 = − 6 − 1 − 2

Simplify

− 6 = − 6 − 3

Add 6 to both sides

− 6 +6 = − 6 − 3+6

Combine like terms

− 6 +6 = − 6 − 3+6

0=-(6)-3+(6)

0=-3

If you are given a 16 sided dice. What is the
probability that you get a number less than or
equal to 5?

Answers

Answer:

numbers less than 5 are 1,2,3,4 and equal to 5 is 5.

probability of less than 5 is 4/16

while equal to 5 is 1/16

or means additions; so its 4/16 +1/16=5/16

Factor 9z^2 - 6x +1.
pls will mark you brainiest

Answers

Answer:

It is not factorable

Step-by-step explanation:

The expression is not factorable with rational numbers.

Answer:

This is not factorable.

Step-by-step explanation:

This is not factorable.

In the figure shown, what is the measure of the indicated angle?

Answers

Answer:

60 degrees

Step-by-step explanation:

Each triangle needs to add up to 180 total degrees.  70+50=120,

180

-

120

___

60

Answer; 120

Why? because all triangles equal 180, so 70+50= 120 and 180-120= 60, all straight lines are 180 and 180-60= 120

If 1+1= window, 2 + 2 equals...

Answers

Answer:

door?

Step-by-step explanation:

Or is it 2 windows?

The follow-ups to the Window Equation don't as a rule utilize the a additionally image and rises to sign, and are drawn by flipping one of the numbers.

1 + 1 = window

2 + 2 = fish

3 + 3 = eight

4 + 4 = arrow

5 + 5 = apple

6 + 6 = cherry

7 + 7 = triangle

8 + 8 = butterfly

Hope this helps!

Picture below: The steps and associated words showing how to complete the window symbol.

Can someone please help!!!
Ill give brainliest!!

Answers

Answer:

please what is the exact question

Answer:

161.56 ft^2

Step-by-step explanation:

base area = (leg 1 x leg 2)/2 = (5 x 5)/2 = 25/2 = 12.5 ft^2

base perimeter = 5 + 5 + 7.07 = 17.07 ft

lateral surface = (perimeter x height) = 17.07 x 8 = 136.56 ft^2

surface area = base area x 2 + lateral surface = (12.5 x 2) + 136.56 = 161.56 ft^2

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