Two gears have a ratio of 8:3.
If the smaller gear has 24 teeth
how many teeth does the larger
gear have?

Answer:

The correct explanation is option B;

B. ∠L ≅ ∠L  By Reflexive Prop. ≅.

Since [tex]\overline {OP}[/tex] ║ [tex]\overline {MN}[/tex], ∠LOP ≅ ∠LMN by the Corr. ∠s Post. Therefore, ΔLOP ~ ΔLMN by AA ~. OP = 2 and MN = 6

Step-by-step explanation:

The given parameters are;

[tex]\overline {LP}[/tex] = 5

[tex]\overline {NP}[/tex] = 10

[tex]\overline {LN}[/tex] = [tex]\overline {LP}[/tex] + [tex]\overline {NP}[/tex] = 15

[tex]\overline {OP}[/tex] = x - 3

[tex]\overline {MN}[/tex] = x + 1

A two column proof is presented as follows;

Statement    [tex]{}[/tex]      Reason

∠L ≅ ∠L     [tex]{}[/tex]        By Reflexive property of congruency

[tex]\overline {OP}[/tex] ║ [tex]\overline {MN}[/tex]     [tex]{}[/tex]     Given

∠LOP ≅ ∠LMN [tex]{}[/tex]  By the Corresponding angles Postulate

Therefore

ΔLOP ~ ΔLMN [tex]{}[/tex]  By AA similarity Postulate

Where we have that ΔLOP and ΔLMN, we get;

[tex]\overline {OP}[/tex]/[tex]\overline {MN}[/tex]  = [tex]\overline {LP}[/tex]/[tex]\overline {LN}[/tex] = 5/15 = 1/3

∴ (x - 3)/(x + 1) = 1/3

3·(x - 3) = 1·(x + 1)

3·x - 9 = x + 1

3·x - x = 1 + 9 = 10

2·x = 10

x = 10/2 = 5

x = 5

[tex]\overline {OP}[/tex] = (x - 3) = 5 - 3 = 2

[tex]\overline {OP}[/tex] = 2

[tex]\overline {MN}[/tex] = x + 1 = 5 + 1 = 6

[tex]\overline {MN}[/tex] =  6

Therefore, the correct option is ∠L ≅ ∠L  By Reflexive Prop. ≅.

Since [tex]\overline {OP}[/tex] ║ [tex]\overline {MN}[/tex], ∠LOP ≅ ∠LMN by the Corr. ∠s Post. Therefore, ΔLOP ~ ΔLMN by AA ~. OP = 2 and MN = 6.

Answer:a

Step-by-step explanation:

A

Triangle XYZ is rotated 180° clockwise to form triangle X'Y'Z'.

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation

If a point A(x, y) is rotated 180° rotation, the new point is at A'(-x, -y).

Triangle XYZ is rotated 180° clockwise to form triangle X'Y'Z'.

Find out more on Transformation at: brainly.com/question/1462871

Answer:

$6727.50

Step-by-step explanation:

35/1000*6500

= 35*6.5

=227.50

6500+217.50

6727.50

Answer:

5 1/2 is the answer, hope this helps

Answer:

Infinite many solutions

Step-by-step explanation:

If you graph it there is only 1 line

Answer:

I think its C.4

Step-by-step explanation:

Answer:

1/8 cup left

Step-by-step explanation:

Starts with 7/8

Uses 1/2 which equals 4/8

Then uses another 1/4 which equals 2/8

4/8+2/8 is 6/8 so he uses 6/8 of olive oil

He has 7/8 and uses 6/8 so 7/8-6/8 quals 1/8

Answer:

30/52

Step-by-step explanation:

Answer:

70

40+2r

Step-by-step explanation:

x= number of rides

40+2x

plug in 15 for x

40+2(15)

70

for hte other part just replace x with r

40+2r

Answer:

Step-by-step explanation:vdcdcdcdcdc

Answer:

shorter

Step-by-step explanation:

Answer:

M∠ABC=58°

Step-by-step explanation:

The sum of Angle ∠ABD and Angle ∠DBC

37°+21°=58°

Answer:

£175

Step-by-step explanation:

Given the exchange rate was £1 = 1.84 dollars.

We are to change 322 dollars to pounds (£).

£1 = 1.84 dollars.

x = 322 dollars

Cross multiply

1.84 * x = 322

1.84x = 322

x = 322/1.84

x = 175

Hence 322 dollars in pounds will be £175

Answer:

25ax25b= 625

Answer: Smaller number = 6

Larger number = 20

Step-by-step explanation:

Let the smaller number be x.

Let the larger number be y.

Three times a larger number is 30 more than 5 times a smaller number. This will be:

3 × y = (5 × x) + 30

3y = 5x + 30 ...... i

The sum of the larger number and 5 times the smaller number is 50. This will be:

y + 5x = 50 ...... ii

From equation ii

y + 5x = 50.

y = 50 - 5x ...... iii

Put the value of y = 50 - 5x into equation i

3y = 5x + 30

3(50 - 5x) = 5x + 30

150 - 15x = 5x + 30

150 - 30 = 5x + 15x

120 = 20x

x = 120/20

x = 6

The smaller number is 6

Note that y + 5x = 50

y + 5(6) = 50

y + 30 = 50

y = 50 - 30

y = 20

The bigger number is 20

Answer:

hello :) the answer is 30 m/s

Answer:

30m/s

Step-by-step explanation:

Convert km to m:

108 —> 108000

Convert hr to s

1 —> 3600

Now put them back into their place in the fraction: 108000/3600

Simply the fraction: 30m/s

Answer:

2/1 I think but i don't know

Answer:

9x^2 - 10x -4

Step-by-step explanation:

It is set up like this

     9x^2 - 8x

-              (x-2)2

First solve (x-2)2

the answer is (2x-4)

so now you can do this instead

    9x^2 - 8x

-              2x - 4

----------------------------------

9x^2 - 10x +4

9x^2 minus zero is 9x^2

-8x-2x is -10x

0- -4 is 4 because that is like saying 0 + 4 because double negatives equal a positive

A simpler way is to change all the numbers to the opposite sign and then change the minus to a plus

like this

    9x^2 - 8x

+              -2x + 4

----------------------------------

9x^2 - 10x +4

Answer:

8x^2-4x-4

Step-by-step explanation:

On delta math

Answer:

the answer is 57

Step-by-step explanation:

Answer:

Area of the square = 225.0 in²

Step-by-step explanation:

Given polygon is a regular polygon that means given quadrilateral has all sides equal in measure.

And a quadrilateral with all sides equal is known to be a square.

Therefore, area of a square = (Side)²

                                              = (15)²

                                              = 225

                                              ≈ 225.0 in²

Answer:

11 weekends.

Step-by-step explanation:

470.80 = 58.30 + 37.50x

-58.30    -58.30

412.50 = 37.50x

divide both sides by 37.50, and x = 11

Hi there!

Fractions can be equivalent to a lot other fractions...

Explanation:

43/12x2 would be 86/24 so that would be equivalent.

Let do another one..

43/12 when doing this, you can decide to divide or not but this is in the simplest form already so we can just multiply 43 and 12 with anything we want so let do... 5.

So 43 multiply by 5 would be..215 and 12x5 would be 60. So another equivalent fractions that’s the same as 43/12 or we can say 86/24 is 215/60.

I also added how I got the equivalent fractions just in case you don’t understand still...

Answer:

254.34 in²

Step-by-step explanation:

The diameter is 18, so the radius is 9. The formula for circumference is [tex]\pi r^{2}[/tex]. 9 squared is 81. 81 x 3.14 is 254.34.

Hope it helps!

Answer:

It is true because scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10. For example, 650,000,000 can be written in scientific notation as 6.5 ✕ 10^8.

4n - 8 > n + 17

n > 8.33

This means n is greater than 8.33.

We can have 9, 10, 11, 12, 13, ,,, and so on.

The least value is 9.

The least value of the number of sheep is 9.

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal =

Greater than and equal=

We have,

Rashid:

Number of sheep owned = n

Bought 17 sheep = n + 17

Eifion:

Number of sheep owned = 4n

Sells 8 sheep = 4n - 8

Eifion still has more sheep than Rashid.

This means,

4n - 8 > n + 17 ______(1)

Solving for n in (1).

4n - 8 > n + 17

Subtract n on both sides.

4n - 8 - n > n + 17 - n

3n - 8 > 17

Add 8 on both sides.

3n - 8 + 8 > 17 + 8

3n > 25

Divide 3 on both sides,

n > 25/3

n > 8.33

This means n is greater than 8.33.

We can have 9, 10, 11, 12, 13, ,,, and so on.

The least value is 9.

Thus,

The least value of the number of sheep is 9.

Learn more about inequalities here:

https://brainly.com/question/20383699

#SPJ2

Answer:

-50 m

Step-by-step explanation:

its negative elevation because he is going down

Answer:

(x-3)*(x-8)

Step-by-step explanation:

x^2-11x+24=(x-3)*(x-8)

Answer:

3079.5 cm^3

Step-by-step explanation:

We need to find the volume of the orange using the volume of a sphere formula V= 4/3 (π)(r^3). So we plug in the numbers V= 4/3 (22/7) (7^3) and solve. Simple simply the exponent and multiply everything. V= 4/3 (22/7) (343)= 1437 cm^3. Then we take 3/7 from the volume to focus on the juice. 1437(3/7) = 615.9 cm^3. Then multiply by five to find the volume of juice from 5 oranges. 615.9(5)= 3079.5 cm^3

Answer:

a b e f h

Step-by-step explanation: