Aanswer (a) and (b)

a) a line pq is parallel to the line MN

b) The line MN is four times the length of the line pq​

Aanswer (a) And (b)a) A Line Pq Is Parallel To The Line MNb) The Line MN Is Four Times The Length Of

Answers

Answer 1

Answer:

Step-by-step explanation:

a). From the given picture,

    It's given:  PM = 3(LP) and QN = 3(QN)

    In ΔLPQ and ΔLMN,

    LM = LP + PM

         = LP + 3LP

         = 4(LP)

    Similarly, LN = 4(LQ)

    By the converse property of similar triangles,

    Corresponding sides of the triangles are proportional.  

    Therefore, their angles will be equal in measure.

    ∠LPQ ≅ ∠LMN and ∠LQP ≅ ∠LNM

    Line PQ will be parallel to the line MN (By Converse of corresponding angle theorem).

b). Since, ΔLPQ ~ ΔLMN their corresponding sides will be in the same ratio.

    [tex]\frac{LP}{LM}=\frac{LQ}{LN}=\frac{PQ}{MN}[/tex]

    [tex]\frac{LP}{LM}=\frac{PQ}{MN}[/tex]

    [tex]\frac{LP}{4LP}=\frac{PQ}{MN}[/tex]

    MN = 4PQ  


Related Questions

What is the answer for the wuesy

Answers

Answer:

22

Step-by-step explanation:

6 divided 6 equals 1 and 1 times 22 equals 22

Brainliest ?

Need help with this question

Answers

Answer:

1, 1

Step-by-step explanation:

i hope this answer is correct

What is the value of x in the equation below?

X + ¼ = - ⅝

Answers

Answer:

Step-by-step explanation:

Subtract 1/4 from both sides. (Change 1/4 to 2/8 so that it can be subtracted from 5/8)

X+ 1/4 = -5/8

X = -5/8 - 2/8

X= -7/8

What would be the first step in simplifying the expression 27 ÷ (4 + 5)⋅6?

Select one:
A. Divide the 27 by the 4.
B. Multiply the 5 and the 6.
C. Add the 4 and the 5.
D. Divide the 27 by the 6.

Answers

Answer:

Step-by-step explanation:

Answer: C. Add the 4 and 5.

pls help me with this question

Answers

Answer:

Step-by-step explanation:

3x and 8x

The like terms are 3x and 8x. The last option is correct.

Which expression is equivalent to 36+18

A: 3(12+6)
B:6(6+18)
C:3(33+6)
D:6(6+2)

Answers

The answer is A.

3(12 + 6) gives you 36 + 18 because 3 times 12 is 36 and 3 times 6 is 18

Answer:

It A the is right

Step-by-step explanation:

Lebo buys blank writable CDs in bulk. He repackages them and sells them
Individually. He pays R40,00 cash (including VAT) for 50 CDs. He receives a 5%
discount. For how much must he sell each CD to make a 40% profit?
5. Musa buys a new radio for R125,00 excluding VAT. He pays cash and gets a 5
cash discount. How much will he pay in total including VATS
15%100 x 5,00​

Answers

Answer:

He must sell each CD for R1,10 to make 40% profit

Step-by-step explanation:

R40×5%=2

R40-2=R38

40%×38=R15,2

15,2+40=55,2

55,2÷50=R1,10

i didnt do the radio sum...

helllppppppppp
. One interior angle of a traingle is 45 degrees. The other angles measures are x and y. Which of the following could be the values of x and y? Select all that apply *
3 points
x = 45, y = 90
x = 45, y = 65
x = 60, y = 75
x = 25, y = 110
x = 90, y = 80

Answers

Answer:

x = 45, y = 90

x = 60, y = 75

x = 25, y = 110

Step-by-step explanation:

1. X = 45, y=90

3. X = 60, y = 75

4. X = 25, y= 110

X + Y + Z should be 180*
Z = 45* (Given)

X + Y + 45 = 180*

X + Y = 135*

James ran 3 kilometers after school. How many meters did James run?

Answers

Answer:

3000meters

Step-by-step explanation:

3×1000= 3000

Answer: 3000 Meters

Step-by-step explanation:

There are 1000 meters in a kilometer.

Multiply that by 3 and get 3000

3/4 divided by 1/3 plz I need it

Answers

Answer:

0.25

Step-by-step explanation:

If a = 8 while b = 6, find a when b = 12. (a varies inversely with b)

Answers

Answer:

a will equal 16

Step-by-step explanation:

Can someone plz help i dont understand...


WILL MARK BRAINLIEST!!!!

Answers

what’s the question

daom its been so long i was just zoning out and thinkin... why havent they made a dark mode to this smh i be on discord to much my eyes have adjusted

btw who invented the first algebra term?

Answers

Answer:

dark mode da best

Step-by-step explanation:

Help me please
Which of the following best describes π?
A. The ratio of the radius of a circle to its diameter
B. The ratio of the circumference of a circle to its radius
C. The ration of the circumference of a circle to its diameter
D. The ratio of the diameter of a circle to its radius

Answers

Answer:

Step-by-step explanation:

The ratio of the circumference to its diameter.

the proportion can be written this way

Circumference / diameter = pi / 1

Sarah hired a painter to paint her bedroom walls and ceiling. Each of the four bedroom walls is 18 ft. Long and 8 ft. High. Two walls each have one door, and both doors measure 3 ft. By 7 ft. One wall has a window that is 3 ft. By 5 ft. The doors and window do not have to be painted. A gallon of paint can cover 300 ft.2. A hired painter claims that he will need three gallons to paint the one room. Is the estimate correct?

Answers

Answer:

The estimate is not correct?

Step-by-step explanation:

Given data

Area of wall = 18*8

=144ft^2

=4*144

=576ft^2

Area of doors

=3*7

=21ft^2

=2*21

=42ft^2

Area of window

=3*5

=15ft^2

Hence the total surface area of the room

=576-42-15

=519ft^2

The amount of paint needed= 519/300= 1.73

Approximately 2 gallons

We are told that 1 gallon will cover 300ft^2

Hence 3 gallons will cover 300*3= 900ft^2

Therefore the painter overestimated the amount of paint needed

As 2 gallons will do the job

Find the slope of the line that passes through the points (2, 4) and (6, 12)

Answers

The answer is 2.

The formula for slop is y2-y1/x2-x1
Using this formula we get 12-4/6-2 or 8/4 which simplifies to 2.

Hope this helps!

Answer:

2

Step-by-step explanation:

A file folder box is in the shape of a rectangle prism with a length of 12 inches, a width of 9 inches, and a height of 10 inches. It is open at the top. Find the surface area of the file folder box

Answers

Answer:

Step-by-step explanation:

A=2(10)12+2(10)9+9(12)

A=240+180+108

A=528 in^2

The figure below consists of a square and a right triangle. Find the missing length x.
34 cm
16 cm
Х

Answers

Answer:

x = 130

Step-by-step explanation:

iA square has 4 equal sides, so the one side connected to the triangle is also 16cm. Triangle's 4 sided added together is 180.

180 = x + 32 + 16

180 = x + 50

180 - 50 = x

x = 130

Find the missing angle.

Answers

31 degrees (vertically opposite angle)
31, they are opposite angles so they are equal

Solve the equation 2 = -6 – 20x for x.

Answers

Answer:

x = - 2/5

Step-by-step explanation:

1.) add six on both sides, the six on the right will cancel out

2.) divide both sides by -20

3.) this will cancel the -20 on the right out which will give your answer for x on the left side

therefore, x should equal - 2 / 5 once simplified

4a − 3 = 9 + a..........................

Answers

Answer:

[tex]4a - 3 = 9 + a \\ 4a - a = 9 + 3 \\ 3a = 12 \\ a = \frac{ 12}{3} \\ a = 4[/tex]

I hope this help

Triangle ABC is a right-
angled triangle.
ADB is a straight line.
DA = DC
Angle BCD = 20°
Work out the size of the angle
marked x.
You must give reasons for each
stage of your working out

Answers

Answer:

x=35°

Step-by-step explanation:

∠A+∠B+∠C=180°(ASP)

In ΔCAD, DC=DA

so, ∠DAC=∠DCA( angles opposite to equal sides are equal)

∠B=90°(given)

So, ∠DCA= 180°-(90+20)= 70°

Since ∠DCA= ∠DAC,

2x= 70°

x=35°

The value of angle A or the value of x is 35°

What is the triangle?

Triangle is a shape made of three sides in a two-dimensional plane. the sum of the three angles is 180 degrees.

The angle A will be calculated as:-

∠A+∠B+∠C=180°(ASP)

In ΔCAD, DC=DA

so, ∠DAC=∠DCA( angles opposite to equal sides are equal)

∠B=90°(given)

So, ∠DCA= 180°-(90+20)= 70°

Since ∠DCA= ∠DAC,

2x= 70°

x=35°

Therefore the value of angle A or the value of x is 35°

To know more about triangles follow

https://brainly.com/question/17335144

#SPJ2

12
Jack burned 150 calories on the elliptical and
210 calories on the treadmill. What is the ratio
of calories burned on the elliptical to calories
burned on the treadmill? Write the ratio on
simplest form.




please help !!

Answers

Answer:

5:7

Step-by-step explanation:

150:210

50:70

5:7

(Ratio has been simplified)

40+40×0+1

a) 1

b)41

c)82

??​

Answers

Answer:

the law of bodmas multiplication first so

40+(40*0)+1

40+1

41

Please help me haha:)

Answers

Answer:

I think it is 117 because 27 plus 66=93 so v+t is 90 plus 27 so 117

Step-by-step explanation:

b) Alfie says that all the digits in odd numbers are odd.
Which of the numbers below show that Alfie is not correct?
A: 5634
B: 7931
C: 2977
D: 3130​

Answers

Answer:

c i think

Step-by-step explanation:

The hypotenuse of a right triangle measures 20 cm and one of its legs measures 12 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.

Answers

Answer:

16 cm

Step-by-step explanation:

[tex]12^2+x^2=20^2\\144+x^2=400\\x^2=256\\\sqrt{x^2} =\sqrt{256} \\x=16[/tex]

The measure of the other leg is 16 centimeters.

What is Pythagoras theorem?

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem.

Given:

The hypotenuse of a right triangle measures 20 cm and one of its legs measures 12 cm.

Applying Pythagoras' theorem,

The measure of other leg = √(20)² - (12)²

The measure of other leg = √(400-144)

The measure of other leg = 16 centimeters.

Therefore, the other leg is 16 centimeters.

To learn more about the Pythagoras theorem;

https://brainly.com/question/343682

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Alex walks from her home to the bus stop at a rate of 40 steps per minute. Write a rule thay gives her from home in steps as a funtion of time after she leaves het home

Answers

Answer:

y = 40x

Step-by-step explanation:

Given - Alex walks from her home to the bus stop at a rate of 40 steps per minute.

To find - Write a rule they gives her from home in steps as a function of time after she leaves her home.

Proof -

The function will be a linear function.

The linear function is in the format of y(x) = mx + c

Let x be the total minutes

     y be the total steps

So, the rule becomes

y(x) = 40x + 0

⇒y = 40x

As she walks 40 steps in 1 minutes

So, rate of change will be 40 and constant term will be 0.

please help

"A power line must be laid to connect two towns, A and B. They are situated on opposite sides of a broad river that is 1 kilometre wide.

Town B is 5 kilometres down the river from a point C, directly across the river from town A, as shown on the diagram ATTACHED.

The cost of installing the power line is estimated at $20 000 per kilometre under water and $10 000 per kilometre on dry land. The proposed budget to install the lines is $64 000."

Where should the powerlines meet the bank of the river to have the lowest cost??

Answers

Answer:

hope this helps

Step-by-step explanation:

When a small group of farmers in eastern China looked at their watermelon fields one spring morning in 2011, they had quite a shock. The fields were not full of a bumper crop like that shown in this picture. Instead, the fields were full of shattered watermelons. The melons looked like they had been blown apart.

A row of watermelons in a field.

Field of ripe watermelons

The problem was limited to about 45 acres (18 hectare) of melons near Danyang. Experts concluded a chemical called forchlorfenuron was at fault. This chemical makes fruits and vegetables grow faster and larger than normal. In fact, they can grow 20 percent bigger!

China’s Watermelon Crop

China grows more watermelons than any other country. All parts of the watermelon are used in traditional Chinese medicine. Farmers see benefits in increasing the size of each melon. Bigger melons bring bigger profits. Melons that grow faster also get to market more quickly. As a result, several farmers had treated their watermelon crop. But the melons grew much faster than anyone expected—in fact, so fast that they burst apart.

Scientists who studied the situation stated that several important things went wrong. First, the type of watermelon these farmers grow is fairly thin-skinned. Under the best conditions, it would be more likely than other types of melon to split. Adding the growth stimulant made that result even more likely.

Watermelons are also more likely to split when the amount of water they receive fluctuates. Watermelons are 92 percent water. During drier weather, their skin tightens. If a heavy rain follows, the plant must absorb a lot of water very fast. The result is cracking. In this case, farmers applied the chemical before a period of heavy rain. The pressure from the water plus the growth stimulant caused the melons to burst.

Chemical Use—Good and Bad

Farmers use many chemicals on crops. That is especially true in a country like China where many people make a living as farmers, and where agriculture is an important part of the economy. The chemical used on the watermelons was a growth stimulant. It makes each acre more productive. Farmers also use pesticides. These chemicals kill pests such as insects or rodents that destroy crops. They use other chemicals to control weeds or kill organisms that spread disease.

Much of China’s farmland has been used for a long time. Fertilizers are needed to add nutrients to soil that years of use have pulled out. China’s farmers also raise livestock and poultry under conditions where many animals are crowded together. Antibiotics are widely used to control the spread of disease.

The goal of heavy chemical use is to boost farm productivity. In fact, China is the world’s largest user of agricultural chemicals. It uses 30 percent of the world total on just 9 percent of the world’s farmland. They do help China produce more food. But chemicals can also cause problems—and not just exploding watermelons.

Some chemicals can be harmful to people or the environment. Most of China’s farms are small—fewer than 5 acres (2 hectares). Studies show that small farms are more likely to use chemicals inefficiently. They may use them in way that can be harmful to the environment. Small farms are also less likely to use innovations in technology that reduce the need for chemicals.

Still, China knows the harm these chemicals are doing to the land. It has set a goal of no further growth in the use of these chemicals by 2020. That means farmers will have to cut back on the chemicals they spray onto their crops. And that should also mean no more exploding watermelons.

What is the value of x?
3
6
8
4​

Answers

I believe x=4

and the y=3

Answer:

x = 4

y = 3

Step-by-step explanation:

2 × 4 = 8

8 + 10 = 18

2 × 3 = 6

6 + 4 = 10

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