The triangles shown are similar. Which side of triangle PQR corresponds to side LN in triangle MNL? Triangle L N P. Side L N is 12, N M is 10, M L is 14. Triangle P R Q. Side P R is 28, R Q is 24, Q P is 20. RQ PQ PR LM

Answer:

2.5 mi/min => 2.5 mi in 1 minute

Step-by-step explanation:

The unit rate (speed) is

12.5 mi

------------- = 2.5 mi/min

5 min

Answer:

x = 49

Step-by-step explanation:

AD is an angle bisector and divides the opposite side into segments that are proportional to the other 2 sides , that is

[tex]\frac{28}{x}[/tex] = [tex]\frac{8}{14}[/tex] ( cross- multiply )

8x = 392 ( divide both sides by 8 )

x = 49

Answer: 4 L

Step-by-step explanation:

20 × 200 = 4000 mL in total, or 4 L

So, the best estimate is 4 L.

Answer:

[tex]Perimeter =58[/tex]

Step-by-step explanation:

Given

[tex]AB = 24[/tex]

See attachment

Required

The perimeter of ABC

First, calculate the lengths of AC and BC.

From the attachment.

[tex]Ax = Az =10[/tex]

[tex]Cx = Cy = 5[/tex]

[tex]By =Bz[/tex]

So, we have:

[tex]AC = 10 + Cx[/tex]

[tex]AC = 10 + 5[/tex]

[tex]AC = 15[/tex]

Also:

[tex]Az + Bz = AB[/tex]

[tex]Az + Bz = 24[/tex]

Recall that: [tex]Ax = Az =10[/tex]

So:

[tex]10 + Bz = 24[/tex]

[tex]Bz = 24 - 10[/tex]

[tex]Bz = 14[/tex]

So, we have:

[tex]By = Bz = 14[/tex]

To calculate BC, we have:

[tex]BC = 5 + By[/tex]

[tex]BC=5+14[/tex]

[tex]BC = 19[/tex]

The perimeter is then calculated as:

[tex]Perimeter = AB + BC + AC[/tex]

[tex]Perimeter = 24 + 19 + 15[/tex]

[tex]Perimeter = 58[/tex]

Answer:

center: (1,4)

radius=3

Answer:

hmmm.

Step-by-step explanation:

times it by 12,000

like 12,000 being half a day

hahaha I dont know

Answer:

the answer would be B: l = 2x + 3; w = x - 1

Answer:

one half

Step-by-step explanation:

Given the expression

2/6 + 1/6

Find the LCM

[tex]= \dfrac{2+1}{6} \\= \dfrac{3}{6} \\= \dfrac{3*1}{3*2}\\= \dfrac{3}{3} * \dfrac{1}{2} \\= 1 * \dfrac{1}{2}\\= \dfrac{1}{2}[/tex]

Hence the required result is one half

Answer:

[tex]15.32[/tex]

Step-by-step explanation:

Eleven and seven-hundredths [tex]=11+\frac{7}{100}[/tex]

(Here, [tex]\frac{1}{100}[/tex] denotes the hundredth)

Four and twenty-five hundredth [tex]=4+\frac{25}{100}[/tex]

Therefore,

Sum of Eleven and seven-hundredths added to four and twenty-five hundredth = [tex]11+\frac{7}{100}+4+\frac{25}{100}[/tex]

[tex]=15+\frac{32}{100}[/tex]

[tex]=15+0.32[/tex]

[tex]=15.32[/tex]

Answer:

18.73 feets

Step-by-step explanation:

Given that:

Horizontal distance between ground and foot of flagpole = 7 feets

Lenght of wire = 20 feets

The height of the flagpole, h can be obtained using Pythagoras :

Adjacent = sqrt( hypotenus² - opposite²)

Height of flagpole = sqrt((length of wire)² - (horizontal distance between ground and flagpole)²)

Let height of flagpole = h

h = sqrt(20² - 7²)

h = sqrt(400 - 49)

h = sqrt(351)

h = 18.73 feets

Answer:

$75.14

Step-by-step explanation:

The new value of one share of LMNOP stock after 11.6% increment is $75.14

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

[tex]\dfrac{a}{100} \times b[/tex]

For this case, we are given that:

Now, the 11.6% of initial price is:

[tex]\dfrac{85}{100} \times 11.6 = \$9.86[/tex]

Thus, the final price of the stock in December =  $85 - $9.86 = $75.14

Learn more about percent here:

https://brainly.com/question/11549320

Answer:

6x + 6

Step-by-step explanation:

Perimeter is the total measurement of all the sides

16x + 12 = (6x + 14) + (4x - 8) + (?)

16x + 12 = 10x + 6 + ?

6x + 6 = ?

Answer:

k

Step-by-step explanation:

-3k minus -3k

-2k-(-3k)

-2k+3k

k

Answer:

Second one to the top right i think

Step-by-step explanation:

Answer:

42°

Step-by-step explanation:

It is always good to draw a picture to help you.  In this case

tan F = 40/44

m∠F = arctan (40/44) = 42°

Answer: 120960 ft.

Step-by-step explanation:

Answer: i think that's right if not than t don't have a solution

Step-by-step explanation:4(m−9)=2(2m+1)−40

(4)(m)+(4)(−9)=(2)(2m)+(2)(1)+−40(Distribute)

4m+−36=4m+2+−40

4m−36=(4m)+(2+−40)(Combine Like Terms)

4m−36=4m+−38

4m−36=4m−38

Step 2: Subtract 4m from both sides.

4m−36−4m=4m−38−4m

−36=−38

Step 3: Add 36 to both sides.

−36+36=−38+36

0=−2

Answer:

Step-by-step explanation:

A ton is 2000 lbs   ->    w = 2000

Weight in an elevator must be less than 2000   ->  w<2000

The pool must hold atleast 2000 lbs w >= 2000   (>=  is greater than equal to)

The scale......   ->   w<= 2000

My car weighs more than 2000    ->  w > 2000

Answer:

1.w<2000

2.w=2000

3.w> or =2000

4.w< or =2000

5.w>2000

Step-by-step explanation:

Answer:

$1057.3

Step-by-step explanation:

First we'll find the Interest no. 1, which is simple interest, assuming the time 1 year:

S.I= PRT/100

S.I= 780*5.2*1/100

S.I=$40.56

Now we'll find interest no.2, which is compound interest, time is 6 years, Principal amount (780) will remain the same as well as the rate thus (putting in the formula of compound interest- annual- [tex]A=P(1+\frac{R}{100} )^t[/tex]):

[tex]A= 780(1+\frac{5.2}{100})^6[/tex]

A= $1057.3

Answer:

d

Step-by-step explanation:

Answer:

hi

Step-by-step explanation:

2(3m+6)=2×3m+2×6=6m+12

have a nice day

Answer:

8

Step-by-step explanation:

can i have brainliest

Answer:

3 hours and 55 minutes

Step-by-step explanation: