find the scale factor of a drawing if the scale is 1 inch = 1/8 inch

Answer:

x = 80°

Step-by-step explanation:

To find x, we need to create an equation.

Recall that the sum of all the 4 interior angles of a quadrilateral = 360°.

Therefore:

m<B + m<A + m<C + m<P = 360°

m<B = 20° (given)

m<C = 20° (given)

m<A = ½*x = x/2 (inscribed angle theorem)

m<P = (360 - x)°

Plug in the values and solve for x

[tex] 20 + \frac{x}{2} + 20 + (360 - x) = 360 [/tex]

[tex] 20 + \frac{x}{2} + 20 + 360 - x = 360 [/tex]

Collect like terms

[tex] 20 + 20 + 360 + \frac{x}{2} - x = 360 [/tex]

[tex] 400 + \frac{x}{2} - x = 360 [/tex]

Subtract 400 from each side

[tex] 400 + \frac{x}{2} - x - 400 = 360 - 400 [/tex]

[tex] \frac{x}{2} - x = -40 [/tex]

[tex] \frac{x - 2x}{2} = -40 [/tex]

[tex] \frac{-x}{2} = -40 [/tex]

Multiply both sides by 2

[tex] \frac{-x}{2} \times 2 = -40 \times 2 [/tex]

[tex] -x = -80 [/tex]

Divide both sides by -1

[tex] \frac{-x}{-1} = \frac{-80}{-1} [/tex]

[tex] x = 80 [/tex]

Step-by-step explanation:

So first thing is to determine which trigonometric ratio we use here. Theta is adjacent to 5 and 8 is the hypotenuse, so we should be using Cosine.

So we set up the equation

cos θ = adj/hype

cos θ = 5/8

θ = [tex]cos^{-1} (5/8)[/tex]

θ=51.3178125...

θ=51°

Answer:

189

Step-by-step explanation:

If mark uses 19 gallons to travel 399 miles, that means he was able to travel 21 miles per gallon.

We get this by taking 399 divided by 19.

So if mark travels on 9 gallons of gas and goes 21 miles per gallon, he will have traveled 189 miles.

We get this by taking 21 times 9

Step-by-step explanation:

A non negative integer is an integer that that is either positive or zero. It's the union of the natural numbers and the number zero

Answer:I think it’s b too

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

26 divided by 13 is 2

Answer:

0.19512195122

Step-by-step explanation:

Answer:

w=10

Step-by-step explanation:

8.25+1/4w=10.75

8.25+0.25w=10.75

0.25w=10.75-8.25

0.25w=2.5

w=10

I hope this helps

Answer:

C/10

Step-by-step explanation:

Answer:

If you want to find the slope the answer is (2,7)that's the final answer

The fifth term in the sequence would be C.

Explanation:

Level 2

Part 1: √250 would be simplified to 5√10, because you need to find two factors that equal 250. 25 multiplied by 10 are two factors that you can utilize. Because 25 is a perfect square, it could be reduced to 5. Because 10 isn't a perfect square, you leave it as a radical.

Part 2: √250 is an irrational number because it's a non-terminating decimal and you cannot convert it into a fraction, so it wouldn't be rational.

Level 3

Part 1: √150x^5 would be simplified to 5x^2√6x. Again, find two factors that equal the product, 150. 25 multiplied by 6 are two factors that are useable. Just like the first question, 25 is a perfect square, so it can be reduced to 5. 6 is not a perfect square, so you would leave as a radical. Now, moving onto x^5. You can factor out x^4, because it's a perfect square. x^4 can become x^2. Move x^2 next to 5 and x would be left in the radical with 6.

Part 2: It's rational because 2√4 is simply just 2 x 2 because √4 is a perfect square. 4+7=11. 11 can be converted into a fraction, so it wouldn't be irrational.

Level 4

Part 1: 13√750x*5 y*8 would be simplified to 65x^2y^4√30x. Find two factors that equal 750, which are 25 and 30. You know the drill, 25 is reduced to 5 and 30 stays as a radical. Multiply 13 and 5 to get 65. Factor out x^4 out of x^5 to get x^2. x^8 is a perfect square that can be reduced to x^4.

Part 2: Two unique expressions are 4√16+3 and 5√8 x 34. √16 is a perfect square, so it can become 4. 4 x 4 is 16 and 16 + 3 = 19. 19 is a rational number. 5√8 is irrational, so right off the bat, you'll know it's an irrational expression.

Answer:

Rhombu is the answer

Answeris rhombus

Long division is easier than you think. Here's how to solve this problem:

1. See how many times 36 can go into 66.

Multiply until you reach a number that is closest (or exact) to 66.

36 x 1 = 36; 36 x 2 = 72.

72 is over 66, so 2 doesn't work. Therefore, we'd put "1" in the first space on the shelf (right above the 6).

2. Subtract.

Now that we have "1" on the shelf, you need to subtract 36 by 66. We do this because 36 x 1 is 36. If it were the number "2" on the shelf, we'd subtract 72, and so on.

66 - 36 = 30.

3. See how many times 36 can go into 30.

Since it can't go into 30, we bring the 3 down (hence the arrow pointing down). The number is now 303.

4. See how many times 36 can go into 303.

I won't write it all out, but after multiplying 1-7 by 36, we find that the closest solution is 36 x 8 = 288.

We put "8" on the shelf, next to "1".

5. Subtract.

Now that "8" is on the shelf, we subtract 288 by 303, which gives us 15.

Since 36 cannot go into 15, and there are no more numbers we can drag down, your remainder is 15.

Your answer is:

36 R 15

The first two boxes under 663 should be filled with 36, the next three under that should have 303, the next three should have 288, and the final two boxes should have 15.

I hope this helped!

Answer:

The answer would be -6x - 4 + -4. hope this is accurate!

Step-by-step explanation:

Answer:

B is the correct answer

Step-by-step explanation:

3/12 = 1/4 = 0.25

Answer:

Step-by-step explanation:

(B)

Answer:

sexes and breeds duh

Step-by-step explanation:

Answer:

data of the dogs

Step-by-step explanation:

Answer:

If 11hrs= $242

   7hrs=7x242/100

             154

Josh will made $154

Step-by-step explanation:

Note: The expression you have written sounds a little unclear, but I am assuming your expression is (27)-2-2/3.

So, I am solving the question based on assuming the expression as (27)-2-2/3, which would still clear your concept.

Answer:

The expression in the simplest form is:

[tex]\left(27\right)-2-\frac{2}{3}=\frac{73}{3}[/tex]

Step-by-step explanation:

Given the expression

[tex]\left(27\right)-2-\frac{2}{3}[/tex]

simplifying the expression in the simplest form

[tex]\left(27\right)-2-\frac{2}{3}[/tex]

[tex]=25-\frac{2}{3}[/tex]

[tex]=\frac{25\cdot \:3-2}{3}[/tex]

[tex]=\frac{73}{3}[/tex]

Thus, the expression in the simplest form is:

[tex]\left(27\right)-2-\frac{2}{3}=\frac{73}{3}[/tex]

Answer:

x=-5

Step-by-step explanation:

5x-3/4=2x+3

First, multiply by 4

5x-3=4(2x+3)

Next, distribute.

5x-3=8x+12

Subtract 5x

-3=3x+12

Subtract 12

-15=3x

x=-5

Hope this helps :D

Answer:

slope, m

y-intercept

Step-by-step explanation:

When writing an equation in slope-intercept form, there will be need for slope and y- intercept.

When any equation is represented in the y = mx +c form, it is called the slope intercept form of the equation.

Here m is slope and c is constant.

To writing the slope intercept form of the equation,

There will be requirement of slope,

and y intercept, it will be in form of (0, a), here a will be value of y coordinate.

To know more about Slope intercept form :

https://brainly.com/question/9682526

#SPJ2

Answer:

Tuscon. btw DIE MAX!

Step-by-step explanation:

Answer:yo the rule is

R% x P x T

which in this question is:

r%= 9%

p= 630

t=8

so

630 x 8 x 9% = 453.6

that's the final answer and in order to make sure make

630+453.6=1083.6

Step-by-step explanation:

Answer:

Step-by-step explanation:

Y+6=3y-30

Subtract y from the left

6=2y-30

Add 30 to both sides

36=2y

Divide by 2

18=y

2x+29=4x-47

Subtract 2x

29=2x-47

Add 47

76=2x

Divide by 2

38=x

Answer:

-6

Step-by-step explanation:

plug -2 into x

Answer:

8 hours

Step-by-step explanation:

!:!

Answer:

399.37

Step-by-step explanation:

multiply the amount each week by the amount of weeks to get the answer :)

Answer:

y=17/5 ,x= 38

Step-by-step explanation:

-4+5y =13 add 4 both side

4-4+5y=13+4

5y=17

5y/5=17/5 y=17/5

x-5y=21

x-5(17/5)=21

x-17=21

x=21+17= 38