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 please help

Answers

Answer:

First row of blanks: -3 -3

Second row of blanks: 2 2 3

Third row blank: 6

Step-by-step explanation:

x/2 + 3 = 6

The objective is to isolate the variable:

Subtract both sides by 3

x/2 = 3

Multiply both sides by 2

x = 6

what's 13.564^4x3.59^-39?

Answers

Answer:

0

Step-by-step explanation:

hope this helps :)

Find the value of x so that the ratios 8 : x and 12 : 18 are equivalent.

Answers

Answer:

12

Step-by-step explanation:

12:18=2:3 multiply by four to get 8 as the first term

8:12

8:x

so x is 12.

*this could be wrong so check my work

Answer:

x = 12

Explanation:

8 : x

12 : 18

to find the value of x, we need to convert 12 into 8. since they both have a common factor of 4, we can divide 12 by 3 to get 4, and then multiply it by 2 to get 8. in numerical terms, this is:

12 ÷ 3 = 4

4 × 2 = 8

now, we can do the same for 18.

18 ÷ 3 = 6

6 × 2 = 12

thus, 12 : 18 is equivalent to 8 : 12. x = 12.

Help me PLZZ it’s worth 20 points

Answers

Answer: uhhhhhhhhhhhhhhhhhhh whats the question?

Step-by-step explanation:

PLEASE ASAP Suppose a normal distribution has a mean of 26 and a standard deviation of
4. What is the probability that a data value is between 28 and 31? Round your
answer to the nearest tenth of a percent.
A. 21.3%
B. 19.3%
C. 20.3%
D. 22.3%

Answers

Answer:

20.3%

Step-by-step explanation:

Hope that helps :)

Solve: 6x - 13 = 4(x + 10) + 2x

Answers

Answer:

null

Step-by-step explanation:

Answer: 0=53

Step-by-step explanation:

Urgent !!!! Can someone please help me

Answers

Answer:

The answer is D

Step-by-step explanation:

They are using 135 times the weeks, but the car already had 100 miles on it to start.  Juan buys a car that has 40 miles originally on it and he drives it 150 miles per week. So, the word problem is D

How many solutions does the equation 3(x-5)-7=-3x8 have

Answers

Answer:

not really good at maths. 15.33

Step-by-step explanation:

3(x-5)-7=3×8

3x-15-7=24

3x =24+15+7

3x = 46

Three will divide it's self to give you one and divide 46 to give you 15.333

(correct me if i'm wrong)

Find the value of x in the picture below. (round to nearest tenth if needed) THANK YOU FOR HELPING ME:)

Answers

Answer:

17 feet

Step-by-step explanation:

L² = 15² + 8² = 225 + 64 = 289

L = √289 = 17 feet

Answer:

do you need the area or the perimiter?

Osing Trig to Find a Side Apr 06, 5:40:44 PM In AOPQ, the measure of ZQ=90°, the measure of Z0=26°, and QO = 4.9 feet. Find the length of PQ to the nearest tenth of a foot. P (hypotenuse) X (opp. of 20) 2009 Q 4.9​

Answers

Answer:5.4

Step-by-step explanation:

I have an hour to do this please help

Answers

Answer:

6

Step-by-step explanation:

27/9 =3

now 18/3

=6

This is confusing me please help

Answers

Answer:

It’s the last one

Step-by-step explanation:

Did this before on a test

Given the definitions of f(x) and g(x) below, find the value of (gof)(1).
f(x) = 2x² – 2x – 4
g(x) = -5x + 14

Answers

Answer:

[tex](g*f)(x) = 34[/tex]

Step-by-step explanation:

For sake of clarity, [tex](g * f)(x) = g(f(x))[/tex]

First, find [tex]f(1)[/tex]

[tex]f(1) = 2(1)^2 - 2(1) - 4\\f(1) = 2-2-4 \\f(1)=-4[/tex]

Then, take what you got for [tex]f(1)[/tex] and plug that into [tex]g(x)[/tex].  In this case, [tex]f(1) = -4[/tex]

[tex]g(-4) = -5(-4) + 14\\g(-4)= 20 + 14\\g(-4) = 34[/tex]

Please make sure to mark brainliest if this satisfies your

Find the value of x. Round the length to the nearest tenth.

ANSWER: A)7.2 ft

Answers

Answer:

7.2

Step-by-step explanation:

Answer:

I dont think you realize you posted the answer...

Step-by-step explanation:

7.2

escribe con letra 0.00125

Answers

Answer:

zero point zero zero one two five

Step-by-step explanation:

Pls helpppp and thank you

Answers

If the question is y = blank(x) + blank (I can’t see the left of the equation
Then the answer is y = 2x + -4

Which golf ball went higher, and how many feet? (Desmos!)

Answers

Answer:

1. 36

2. Second

Step-by-step explanation:

- For the first ball, we can see the given function:

[tex]f(x)=-16(t^{2}-3t )[/tex]

[tex]=-16[t^{2} -3t+(3/2)^{2}-(3/2)^{2} ][/tex]

[tex]=-16(t-\frac{3}{2} )^{2} +(-\frac{3}{2} )^{2} *(-16)[/tex]

[tex]-16(t-\frac{3}{2} )^{2} +36[/tex]

So the vertex is ([tex]\frac{3}{2}[/tex], 36), it means when the ball was hit by the [tex]\frac{3}{2}[/tex] seconds, it arrived at the highest height of 36 feet.

- For the second ball, we can see the given graph: the vertex is (2,64), it means when the ball was hit by the 2 seconds, it arrived at the highest height of 64 feet.

- Compare to the two heights, 36 (first ball) is less than 64 (second ball), so the second ball went higher.

Evaluate : ab−5c+b
for a = 12, b = 3 and c = - 4

Answers

Answer:

59

Step-by-step explanation:

[tex](12*3)-5*(-4)+3=59[/tex]

Please help! This is my last question and I can’t get it... I gave the most points I could. (I will also mark you the brainliest if it works)

Answers

Answer:

18.

Step-by-step explanation:

Please help im not good at theses

Answers

Answer:

[tex]y=\frac{1}{4} x-3[/tex]

Step-by-step explanation:

y=mx+b -- m = slope, b = y-int

at a meeting ,everyone shakes hands exactly once with every other person . if there are 55 handshakes . then what Is the number of people attending​

Answers

11.
Every handshake takes 2. If no one shakes hands twice with another, there are 10+1 total people shaking hands (11).

Name them 1 thru 11. Make a line and 11 goes down the line and shakes 10 hands and then leaves. 10 then shakes 9 hands and leaves. 8 then shakes 7 hands and leaves. Etc. 2 shakes hands with 1 and leaves. 1 just leaves.

11— 10 hs

10— 9 hs

9— 8 hs

8— 7 hs

7— 6 hs

6— 5 hs

5— 4 hs

4— 3 hs

3— 2 hs

2— 1 hs

1— leaves

Total handshakes 55, total people 11.

Which figure can be formed from the net?

Answers

Answer:

#1 is the answere

Step-by-step explanation:

Check the sides

A circle with a shaded sector has a circumference of 12 pi millimeters. What is the area of the shaded sector? Express the answer in terms of Pi.

Answers

Answer:

The answer is C. 8 mm

Step-by-step explanation:

For me, i was able to divide the 80 by 12 and get 6.667 thus i was able to round up and conclude the answer in the answer choices

Answer:

c

Step-by-step explanation:

PLEASE ACCTUALY HELP :<

Point A has the coordinates (-2,-4). Point A is reflected across the x-axis to create point 'A'. What are the coordinates of point "A"? Enter your answer in the space below.​

Answers

Answer:

(-2, 4)

Step-by-step explanation:

Hopes this helps!

A trainee in a computer company takes 0.9 times as long to assemble each computer as
he took to assemble the preceding computer. If it took him 30 minutes to assemble the
first computer, find the total time he takes to assemble the first five computers (round to
the nearest minute)
221,430 minutes
123 minutes
122 minutes
103 minutes

Answers

The total time he takes to assemble is 123 minutes.

What is Unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

for second, 30*0.9=27

for third, 27*0.9 = 24.3

Similarly for the fifth computer,

=21.87*0.9

=19.68 minutes

Total time taken,

=30+ 27 +24.3+21.87+19.68

=122.553

=123 minutes.

Learn more about unitary method here:

https://brainly.com/question/22056199

#SPJ2

PLEASE HELP!!! I WILL MARK!

Answers

Answer:

D. the average difference in height between each player and the mean height

In figure find the value of x triangle PQR

Answers

Answer:

x = 35

m<PQR = 70

Step-by-step explanation:

This is an isoceles triangle so the base angles are the same and they all add up to 180 so:

2x + 2x + 40 = 180

4x + 40 = 180

4x = 140

x = 35

m<PQR:

2x

2(35)

70

please help!! i will give brainliest.

Answers

Answer:

3/10 inches apart

Step-by-step explanation:

total miles based on 2" equals 33 miles can be found by solving this proportion:

2/33 = 6/x

2x = 198

x = 99

99 miles divided by 11 rest stops means each stop is 9 miles apart

now use new ratio of 1" equals 30 miles

1/30 = x/9

30x = 9

x = 9/30 or 3/10 inches

Which one of these is in scientific notation?
(47 points)

Answers

The answer to this is 2.

Answer:

8.98 * 10^6 is the scientific notation

Step-by-step explanation:

Which of these are equivalent? NO LINKS. NEED HELP ASAP

Answers

Answer:

3 AND 6 - 2 AND 5!

Step-by-step explanation:

hope i helped!

The 2nd, 3rd, 5th, & 6th are the answers
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