Identify the correct explanation for why the triangles are similar. Then find OP and MN.

Options:

A. ∠M≅∠N. Since OP¯¯¯¯¯∥MN¯¯¯¯¯¯¯, ∠LOP≅∠LMN by the Alt. Int. ∠s Thm. Therefore, △LOP∼△LMNby AA∼. OP=8 and MN=4.

B. ∠L≅∠L by the Reflex Prop. of ≅. Since OP¯¯¯¯¯∥MN¯¯¯¯¯¯¯, ∠LOP≅∠LMN by the Corr. ∠s Post. Therefore, △LOP∼△LMNby AA∼. OP=2 and MN=6.

C. ∠L≅∠L by the Reflex Prop. of ≅. Since OP¯¯¯¯¯∥MN¯¯¯¯¯¯¯, ∠LOP≅∠LMN by the Corr. ∠s Post. Therefore, △LOP∼△LMNby AA∼. OP=4 and MN=8.

D. ∠M≅∠N. Since OP¯¯¯¯¯∥MN¯¯¯¯¯¯¯, ∠LOP≅∠LMN by the Alt. Int. ∠s Thm. Therefore, △LOP∼△LMNby AA∼. OP=2 and MN=6.

Answer:

y=2/3x +5

Step-by-step explanation:

to find the gradient

9--1/6--9

10/15

2/3

y-y1=m(x-x1)

y-9=2/3(x-6)

y-9=2/3x-4

y=2/3x+9-4

y=2/3x+5

Answer: length of the rectangular firls = 50

and the breadth = x-20m= 50-20m =30m

Step-by-step explanation:

The perimeter of a rectangle is given as  2(l+b)

let the length be represented as x

such that the breadth = x-20m

so our expression for the perimeter of the rectangular firls becomes

Perimeter = 2l+ 2b

160= 2x + 2 ( x-20)

160= 2x+ 2x-40

160+40 =4x

200= 4x

x= 200/4

x= 50

So the length of the rectangular firls = 50

and the breadth = x-20m= 50-20m =30m

Answer:

Length =60m

Breadth= 20m

Step-by-step explanation:

Breadth of the rectangular firls = 20m

Perimeter = 160m

Length = X

Perimeter of a rectangle = 2(L +B)

Where L= Length

           B = Breadth

160 = 2( 20 + X)

160 = 40 +20X

160- 40 =20X

120= 20X

20X = 120

X = 120/20

X = 60

The dimensions are:

Length =60m

Breadth= 20m

Answer:

$4 (nearest dollar) ;

$4.4 (nearest dime) ;

$4.41 (nearest penny

Step-by-step explanation:

The actual price of premium gasoline is $4.409 per gallon.

A penny = $0.01 or 1 cent

A dime = $0.1 or 10 cent

Price of premium gasoline to the nearest dollar :

$4.409 is rounded to the nearest unit = $4

Price of premium gasoline to the nearest penny : = $4.409 is rounded to the nearest hundredth = $4.41

Price of premium gasoline to the nearest dime : = $4.409 is rounded to the nearest tenth = $4.4

Answer: 91

Step-by-step explanation: 2+89=91

Answer: Jakob will run 3 1/2 miles in 30 min

Step-by-step explanation: you need to take 7 in half  because half of an hpur is 30 minutes so half of seven is 3 1/2 so that is the answer

Answer:

3.5 miles

Step-by-step explanation:

1 hour = 60 minutes

Proportions:

7 miles = 60 minutes

J miles = 30 minutes

J = 7*30/60

J = 3.5 miles

Answer:

8

Step-by-step explanation:

Answer:

Answer is 8 :D

Step-by-step explanation:

The common factor of those 2 numbers are 1, 2,4,8 :)

Answer:

3$

Step-by-step explanation:

Answer:

The probability is 1/4

Step-by-step explanation:

So there's 4 possible outcomes. So if you roll the spinner and you can only get one outcome. So it'll be 1/4.

Answer:

P(<3, then 4) = 1/2 x 1/4 = 1/8

Step-by-step explanation:

probability of a number less than 3 would mean landing on a 1 or 2, which has a prob. of 1/2

probability of landing on the number 4 is 1/4

multiply the probabilities

Answer:

2/3

Use the rise over run formula and then simplify

Answer:

D

Step-by-step explanation:

Slop formula: m = (y2 - y1)/(x2 - x1)

First coordinate: (-3, -7)

Second coordinate: (9, 1)

m = (1- (-7) ) / (9 - (-3) )

m = (1 + 7) / (9 + 3)

m = (8)/(12)

m = 2/3

Answer:

Change the positive numbers to negative and change the negative numbers to positive.

Step-by-step explanation:

I hope this helps u! :D

Answer:

Step-by-step explanation:

D the width is higher than the pressure of it (32h) so that would mean younger 2) 3425 psi of worth

Answer:

-3(3x-5y-9)

Step-by-step explanation:

The shape congruent to given figure is Figure 4.

Option D is correct.

Congruent figures have sides that are the same length and angles that are the same measurement. In other terms, two figures are said to be congruent when they are superimposed upon one another. Even when they are flipped or rotated, they perfectly fit on top of one another.

We have a figure which is similar to parallelogram.

First, figure is seems to be rectangle and do not have same unit measurement which is not Congruent.

Now, the second has more width than given figure.

Now, Third figure is also a rectangle and cannot be congruent.

Now, the fourth figure is similar to given figure.

Learn more about Congruency here:

https://brainly.com/question/7888063

#SPJ7

Answer:

liam has 44 chairs with him

Answer:

liam has 71 chairs

hope it helps you

Answer:

the answer is C

Step-by-step explanation:

hope this helps

Answer:

27

Step-by-step explanation:

Answer:

27.

Step-by-step explanation:

(-43)+37+33

= 37 + 33 - 43

= 70 - 43

= 27.

Answer:

98= 4p + 38

4p = 38 - 98

4p = - 60

P = - 60/4

P = -15

Answer:

p=15

Step-by-step explanation:

98=4p+38

(98-38)=4p

60=4p

(60/4)=(4p/4)

15=p

Answer:

1/2 or 1/3

Step-by-step explanation:

if you add them across you will get 4/12 which you would simplify and it will give you 1/3 but if you keep the bottem numbers as 8 then add 3 and 1 it will give you 4/8 simplify that's and it gives you 1/2

Answer

They are perpendicular

Step-by-step explanation:

I got it right on my test

Answer:

y=-6

Step-by-step explanation:

2(6)+y=6

12+y=6

-12 -12

y=-6

I am reading this correctly, the width = 1/3 of the length?

If this is the case, and we know that the area is 675, the equation is as follows.

Width x Length = 675 ft2

X = length

1/3 X  x  X =  675 ft2

To solve for X we have to multiply both sides by 3.

X square 2 = 2601 square feet.

Take the square of each side.

X =  225 sqare feet.

I hope this helps, let me know if you have any questions.

Answer:

220 miles

Step-by-step explanation:

55 x 4 = 220 miles

Answer:220

Step-by-step explanation:

55×4=20

Answer:

$2.49p = c

Step-by-step explanation:

sorry if wrong

Answer:

c=2.49p

Step-by-step explanation:

Answer:

x ≤ 49 / 12

Step-by-step explanation:

Total cups of flour = 63 /8

Cake = 7/4 cups

Cookies = 3/2 cups per batch

Flour left after baking cake :

63/8 - 7/4

(63 - 14) / 8

49 / 8

Batch of cookies which can be baked, x

Flour left / cups of flour per batch of cookies

x ≤(49 / 8) ÷ (3 / 2)

x ≤ (49 /8) * 2/3

x ≤ 98 / 24

x ≤ 49 / 12

Answer:

She needs 7 more boxes.

Step-by-step explanation:

100-16=84

84/12=7

Answer:

Since 1/5 is 0.2

and 1/5 × 9 is 9/5

We can do 0.2 × 9

which you should get 1.8

OR you can do 0.2 + 0.2 + 0.2 +0.2 +0.2 + 0.2 + 0.2 + 0.2 + 0.2 (which is 0.2 added 9 times)

Which also results in 1.8

Answer:

she could mabey multiply 9x0.2=1.8

Step-by-step explanation:

it might be 1.8 because if 1/5=0.2 and she needs to find out what 9/5 is so

you need to multiple 9x0.2 but im not sure if im right

Answer:

c

Step-by-step explanation:

Answer:

θ = 41.81°

Step-by-step explanation:

Given

[tex]\frac{2}{3}[/tex] = sinθ , then

θ = [tex]sin^{-1}[/tex] ( [tex]\frac{2}{3}[/tex] ) ≈ 41.81°