PART (A)
PART (B)
Find the LCM of 210 and 450

Answer:

375

Step-by-step explanation:

12/150 is 0.08, which is 8%

this mean 8 perfect of the population were marked

8 percent is 30 deers

30/0.08=375

Answer:

Triangle BDE and triangle BAC are similar triangles

Hence, two lines DE and AC are parallel to each other

Step-by-step explanation:

For proving that DE is parallel to AC, we are required to prove that triangle BDE and triangle BAC are similar triangles

The ratio of sides of both the triangle must be equal to each other

Hence

[tex]\frac{BE}{DB} = \frac{BC}{BA} \\\frac{16.1}{28} = \frac{20.7+16.1}{64}\\0.575 = 0.575[/tex]

and angle B is common.

Hence the two triangles are similar.

Therefore angle BDE and angle BAC are equal like wise angle BED and angle BCA are equal.

Thus, the two lines DE and AC are parallel to each other

Answer:

[tex]2 + 3 + 7 + x = 4 \times 5 \\ x = 20 - 12 = 8[/tex]

Step-by-step explanation:

you question isn't clear enough

find the area of what actually?

Answer:

square = 34

triangle = 17

Step-by-step explanation:

Answer:

156

Step-by-step explanation:

Answer:

2x − 3

Step-by-step explanat

Answer:

3*3+5+6

Step-by-step explanation:

i hope its correct

Answer: Pat bonces the ball 125 times in 150 seconds.

i honestly don't know :-l

Answer:

mass=180kg and the volume=6m³.

then the formula to find density is= mass/volume

using this formula,180kg/6m³=30kg/m³

Answer:

8 m³

Step-by-step explanation:

Let v represent the volume.  Recall that density is mass/volume, which here is 0.9 kg/m³.  To find the volume of this object, divide the density into the mass:

 7.2 kg

--------------- = 8 m³

0.9 kg/m³

Answer:

Area = 1/2*(16+4)*5

= 50 yd²

Step-by-step explanation:

Hope it helps you......

Answer:

2x^2+4x

HOPE THIS HELPS

-Todo <3

Step-by-step explanation:

9x^2+2x

2x^2+4x

(if you would like an explanation let me know :D)

Answer:

Option D.

Step-by-step explanation:

hope it helps...

Answer:

Each would get $4 50

Step-by-step explanation:

Marius + her friends = 20 persons

99÷20 = 4.50

Answer:

D) 150 miles.

Step-by-step explanation:

The computation is shown below:

Given that

The Cost of  the car rental agency of A is $50 + 0.10 per mile

The Cost of  the car rental agency of B is $20 + 0.30 per mile

Here we assume the per mile be x

Now we equate these equations

SO,

$50 + 0.10x = $20 + 0.30x

$30 = 0.20x

x = 150

SO it would be more than 150 miles

Answer:

Step-by-step explanation:

The problem is that you cannot be sure that either triangle (it actually requires both of them) contain a right angle

What you have so far is SSA which is not one of the fundamental congruency triangles. In order to be certain of congruency the angle must be made up of the 2 given sides. You are certain that SAS will produce congruency. You are not so sure of  r SSA. There are proofs of this on the internet. I urge you to look into it. Though not long, following it step by step takes a lot of patience. A cup of strong coffee is a good idea.

Answer:

volume = 10.2 in³

Step-by-step explanation:

r = 2.7/2 = 1.35

volume = 4/3πr³ = 4/3(3.14)(1.35³) = 10.2 in³

Answer:

x=6

Step-by-step explanation:

its an equilateral triangle so all sides are the same measure

9=3x-9

18=3x

x=6

Answer:

[tex](a)\ k_2 = 1in:3ft[/tex]

[tex](b)\ Scale\ width =\frac{16}{3}\ in[/tex]

Step-by-step explanation:

Given

[tex]k_1 = 1in : 2ft[/tex] --- Initial scale factor

[tex]Blueprint: 12in\ by\ 8in[/tex] --- Missing from the question

Solving (a): The new scale factor.

Convert the initial blueprint to actual measurement using the initial scale factor, we have:

[tex]Length = 12 * 2ft = 24ft[/tex]

[tex]Width = 8 * 2ft = 16ft[/tex]

From the question, we understand the new scale factor represents the width as 8in.

The scale factor (k2) is then calculated as:

[tex]k_2 = \frac{Scale\ length}{Actual\ length}[/tex]

[tex]k_2 = \frac{8in}{24ft}[/tex]

Simplify

[tex]k_2 = \frac{1in}{3ft}[/tex]

Represent as fraction

[tex]k_2 = 1in:3ft[/tex]

The above is the new scale factor

 Solving (b): The new width

Using the scale factor above we have:

[tex]k_2 = \frac{Scale\ width}{Actual\ width}[/tex]

[tex]\frac{1in}{3ft} = \frac{Scale\ width}{16ft}[/tex]

The 16 is gotten from:

[tex]Width = 8 * 2ft = 16ft[/tex]

So, we have:

[tex]Scale\ width = 16ft * \frac{1in}{3ft}[/tex]

[tex]Scale\ width = 16 * \frac{1in}{3}[/tex]

[tex]Scale\ width =\frac{16\ in}{3}[/tex]

[tex]Scale\ width =\frac{16}{3}\ in[/tex]

Hence, the scale width of the blueprint is: 16/3 inches

Answer: Part A is 3 and part b is 5 1/3 inches

Step-by-step explanation:

Answer:

Henry can write 10 pages in 8 hours.

Step-by-step explanation:

Our unit rate (number of pages in a given number of hours) is

5 pages

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

   4 hrs

It is not necessary to perform the indicated division.  Just multiply this unit rate by '8 hours':

5 pages

-------------- * 8 hrs = 10 pages

   4 hrs

Henry can write 10 pages in 8 hours.

The table that could represent a function is given by the values

x = { 1 , 2 , 3 , 4 } and f ( x ) = { 2 , 4 , 6 , 2 } where the there exists one value in the range for every domain value.

The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given data ,

Let the function be represented as f ( x )

Now , the values of x are given as

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

So , when x = { 1 , 2 , 3 , 4 }

The values of f ( x ) should be distinctive and no values of x should have different values for f ( x )

And , f ( x ) = { 2 , 4 , 6 , 2 } represents a function

Hence , the function is  f ( x ) = { 2 , 4 , 6 , 2 }

To learn more about function rule click :

https://brainly.com/question/3760195

#SPJ7

Answer:

The distance between the two points is 8 units.

Step-by-step explanation:

Hope this helps!! Have an Amazing day!!

Answer:

There's y and x which one you're are talking about?

it is x the distance is 8.

negative four + positive four will give us zero but if you add the both it will give us the distance between them

Answer:

I got x=10

Step-by-step explanation:

Step 1

Everything must add up to 180

180= 6x - 6 + 7x + 1 +55

Step 2

Combine everything

6x + 7x = 13x

-6 + 1 +55 =50

180 = 13x + 50

Step 4

Subtract. 180 -50

130 = 13x

Step 5

Divide 130/13

X=10

6(10) -6 = 54

7(10) + 1=71

Answer:

90 dollars or euros whatever its called

Answer:

3 1/3 = 10/3

0.3 = 3/10

a * 1/a =1

then 1/a is multiplicative inverse of a

0.3* 3 1/3 = 3/10 * 10/3 =1

0.3 is multiplicative inverse of 3 1/3

Step-by-step explanation:

Answer:

3 1/3 = 10/3

10.3 = 0.3 = 3 1/3

x * 1/x = 1

∴ yes, the multiplicative reverse of 3 1/3 is 0.3

hope this answer helps you.....

Answer:

Combined volume of the two game systems  [tex]=416[/tex] cubic inches

Step-by-step explanation:

Volume of a cuboid = length × breadth × height

Soham's video game system measures 8 inches long, 6 inches wide, and 2 inches tall.

So,

Volume of Soham's video game system = 8 × 6 × 2 = [tex]96[/tex] cubic inches

As Sean's video game system measures 1 inch longer on all sides,

the video game system measures [tex]8+2=10[/tex] inches long, [tex]6+2=8[/tex] inches wide, and [tex]2+2=4[/tex] inches tall.

Volume of the video game system = 10 × 8 × 4 = [tex]320[/tex] cubic inches.

Therefore,

Combined volume of the two game systems = [tex]96+320=416[/tex] cubic inches

Answer:

C . x/12

Step-by-step explanation: