Lines AB and CD (if shown) are straight lines. Find x. Give reasons to justify your solutions.

Step-by-step explanation:

1.) x + 37 + x + 67 + 90 = 180

combine like terms

2x +194 = 180

subtract 194 both sides

2x = -14

x = -7

2.) 63 + 86 = x

x = 149

Answer:

1. (x+37) + (x+67) + 90° = 180°

=> x + x + 37 + 67 + 90 = 180

=> 2x +194 = 180

=> 2x = 180 –194

=> 2x = –14

=> x = –14/2

=> x = –7

2. [The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles. ]

x = 63° + 86°

=> x = 149°

Answer: 4

Step-by-step explanation: 2+2 is 4

Answer:

number is 10

Step-by-step explanation:

let n be the number, then 4 more than the number is n + 4, thus

n(n + 4) = 140 , that is

n² + 4n = 140 ( subtract 140 from both sides )

n² + 4n - 140 = 0

Consider the factors of the constant term (- 140) which sum to give the coefficient of the n- term (+ 4)

The factors are + 14 and - 10 , since

14 × - 10 = - 140 and 14 - 10 = + 4 , thus

(n + 14)(n - 10) = 0 ← in factored form

Equate each factor to zero and solve for n

n + 14 = 0 ⇒ n = - 14

n - 10 = 0 ⇒ n = 10

Since n is a whole number the the required number is 10

Answer:

Their coefficient have the same number but with opposite sign

Step-by-step explanation:

We can tell that the two coefficient will add to zero because they have the same value but opposite signs.

  When two numbers are of the same value but with opposite sign, they add up to zero.

  The given numbers are;

             -2x²   and  2x²

Coefficient is the number before the variable. Here, the variable is x,

            -2x² = -2

               2x² = 2

    -2 + 2  = 0

Answer:

30x + 20 < 200

Step-by-step explanation:

Given parameters:

Transportation fee = $20

Charge per hour = $30/hr

Unknown:

Inequality representing then number of hours if he has $200 = ?

Solution:

Let the number of hours = x

At most is interpreted in inequality term as <, less than a certain amount;

 For x hours,

     30x + 20 < 200;

 gives the number of hours James have access to the canoe if he has at most $200

Answer:

1. 20 pounds

2. $11

Step-by-step explanation:

To set this up, you have to use a system of equations. It would look like this, where [tex]p[/tex] is pounds and [tex]t[/tex] is total cost:

UPS: [tex]t=7+0.20p[/tex]

FedEx: [tex]t=5+0.30p[/tex]

In order to solve a system of equations you must either a.) graph it, or b.) set them equal to each other.

If you graph it, the answer is where the two lines intersect.

If you set them equal to each other, solve it.

I will set them equal to each other in this:

[tex]7+0.20p=5+0.30p[/tex]

The first step in a problem like this, where there's the same variable on both sides, is to subtract the smaller variable from both sides. In this case, it is  [tex]0.20x[/tex]. That would turn the equation into:

[tex]7=5+0.10p[/tex]

After that, you must solve it like a regular two-step equation.

Start by subtracting 5 from both sides:

[tex]2=0.10p[/tex]

Now, you must divide both sides by [tex]0.10[/tex].

[tex]\frac{2}{0.10}=\frac{0.10p}{0.10}[/tex]

That would give us:

[tex]20=p[/tex]

This means that in order for the prices to be the same, the package must be 20 pounds.

Now in order to find the total cost, you must plug 20 into one of the equations. It doesn't matter which, since they both equal the same. I will plug it into the FedEx equation:

[tex]t=5+0.30(20)[/tex]

Now you can just use a calculator and solve that or do it by hand. Multiply 0.30 by 20, to get 6, then add 5, which equals 11.

You should get: [tex]t=11[/tex].

This means that the total cost, when the costs are the same for both FedEx and UPS, is $11.

Answer:

the sum of this equation would equal 23875

4 is smaller than 9 y_ghyyyggyyggggdffghbv y_ghyyyggyyggggdffghbv

Answer:

The independent quantity is normally plotted on the horizontal (x) axis - which means that the points in the x coordinate are the domain. Since the dependent quantity is normally plotted on the vertical (y) axis, the y-coordinates make up the range.

i hope this helped

Step-by-step explanation:

Answer:

The answer is c. 8.3912845

Because the number has ended not like the rest of them repeating.

Answer:

22

Step-by-step explanation:

blue = 1

red = 10

green= 2

Answer:

43

Step-by-step explanation:

red:10

green 1:4

green 2:8

blue 1:3

blue 2:6

blue 1 + red 1 * green 1

PEMDAS: (10*4)=40

3+40=43

Answer:

$1.67

Step-by-step explanation:

To find out the price per pound, you need to find the unit price.

15/9 = $1.67/1

Simply divide both numbers by 9.

Answer: two hundred thirty-eight thousand nine, (2 x 100,000) + (30 x 10,000) + (8 x 1,000) + (9 x 1). doscientos treinta y ocho mil nueve, (2 x 100.000) + (30 x 10.000) + (8 x 1.000) + (9 x 1).

Step-by-step explanation: I learned it already.

Answer:

256

Step-by-step explanation:

the way to solve is simple just multiply 32 times 8

Answer:

48!

Step-by-step explanation:

you would take 32/8 and thats 4 hotdogs a minute times 12 would be 48 hotdogs in 12 minutes

Answer: no idea

Step-by-step explanation:

LLLLLLLLLOOOOOOOOOOLLLLLLLLLLLLLLLL

Answer:

0.946 liter

Step-by-step explanation:

Here, we are told to round 0.946353 to the nearest thousandth.

The nearest thousandth is simply the third value after the decimal point.

Now to successfully round this number, we need to consider the number after this number. If the number is less than 5, then we round it up as zero and add to the thousandth digit.

in the case where the fourth number is higher than or equal to 5, we turn it to 1 and add it to the thousandth number

In the case of this question however, we can see that the number is less than 5, so we can only round to 0 and this does not affect the thousandth digit .

Answer:

What is your question?

Answer:

B

Step-by-step explanation:

The answer is B because if its being reflected its like symmetry horizontally

Sorry if this made no sense :c

Have a good day!  

The correct option is Option D: The figure in Option D is reflection about the dotted horizontal line.

Reflection is the geometrical transformation of the figure about an axis, without changing the size and shape of the image in which every point is at same distance from the axis as in the reflected image.

Here the original image is in the 2nd quadrant.

the reflection axis is horizontal and situated in the 3rd and 4th quadrants.

So by reflecting about that axis without changing the size and shape of the image for which the distance of the original image from the axis will be equal to the distance of the reflected object from the axis.

As original image is in the 2nd quadrant the reflected will be drawn at the 3rd quadrant opposite to the original image.

Checking all the options only in Option B and option D have the reflected image at the 3rd quardant. But in Option B the reflected image is situated on the reflection axis which is against the rule of reflection.

Therefore The correct option is Option D: The figure in Option D is a reflection about the dotted horizontal line.

Learn more about reflection

here: https://brainly.com/question/1908648

#SPJ2

Given :

Target have apple watches on sale this week for $349 and you get an additional 5% off if you use our red card. Best buy sells them for $389 and you have a coupon for 15% off.

To Find :

How much money would you save by purchasing the watch from the store with the better buy.

Solution :

Selling price at Target :

S.P = $( 349 - 349×0.05)

S.P = $331.55

Selling price at Best buy :

S.P = $( 389 - 389×0.15 )

S.P = $330.65

Amount of price saved = $( 331.55 - 330.65 ) = $0.9 .

Hence, this is the required solution.

Answer:

False

Step-by-step explanation:

-8 · (-4) = 32

The two negatives cancel each other out so the answer is positive.

Hope I helped :)

Please consider Brainliest :)

Answer: c(x) = 2.00 + 0.50x

Step-by-step explanation:

Since they already charged her $2.00 leave that alone. They charge her .50 per night, x represents the number of nights she rented the movie. thus the answer is c(x) = 2.00 + 0.50x.

Answer:

x=6?

Step-by-step explanation:

it is 90 degresses

Answer:

-17/8

Step-by-step explanation:

Answer: D, 161.16 square centimeters.

Step-by-step explanation:

The surface area of a cylinder (shape of each steel rod) is given by this formula:

[tex]A = 2\pi rh + 2\pi r^2[/tex], where the first 2*pi*r*h measures the area of the curved surface while the second 2*pi*r^2 measures the area of the two circles on the top and bottom.

We are given the area of the top of one rod, which is 7.07 square centimeters.

We are also given the area of the body of one rod, which is 39.58 square centimeters.

The top of one rod is the shape of a circle, and we know there are two circles on both sides of a cylinder, so the surface area of both circular sides are 7.07.

The total surface area of a cylinder is the body plus both circular ends, so the surface area for this cylinder is:

39.58 + 7.07 + 7.07 = 53.72

There are three cylinders, so multiply this value by three to get the answer, 161.16 square centimeters.

Answer:

Null/empty set

Step-by-step explanation:

The answer is null because neither Set C and D share the same numbers