12. Complete the missing values by writing the equivalent percent.

x + x + 2x + 2x = 360°

Then

6x = 360°

x = 360/6 = 60°

∠BCD = 2X = 2*60 = 120°

Answer:

Explanation:

Step 1. To find the first row of the multiplication, we need to multiply -5 by the first expression:

The multiplication we have to make is:

Step 2. Multiply -5 by all of the terms in the expression:

Solving the operations:

This is the first row of the multiplication and is shown in the fourth option.

Answer:

Supposing the same rates, the likelihood of a customer choose a cheese pizza can be calculated by the number of times cheese pizzas were chosen divided by the total of pizzas, so:

So, the lokelihood of this event is 3/10, or 30%.

The expression we have to solve for x is:

In any given equation, to solve for a variables we need to leave that variable alone in one side of the equation.

In this case we need to get rid of the 23 that is besides the 6x on the left side.

For that:

Step 1. Substract 23 from both sides of the equation:

23-23 in the left side cancel each other. And we are left with:

since 29-23 is equal to 6:

Step 2. Divide both sides of the equation by 6:

and since 6/6=1 we are left with the following result:

Answer: x = 1

times this number 5x3 15 then this 3x70 you get this 210 add them up 225feet

We need to find the GCF of

Let's break apart the terms,

We can see that the common factors to all 3 terms are x * y * y, which

Thus, the GCF of the 3 terms given is,

The sum of exterior angles of a polygon is 360⁰

There are four exterior angles in the given polygon or quadrilateral which sum up to 360⁰

Hence,

Therefore, the measure of the missing exterior angles of the polygon are 118 degrees and 118 degrees

The function g(x) that results when translating the function f(x) = |x| to the left 12 units and reflecting it over the x-axis is; g(x) = -|x + 12|

We are given the function as; f(x) = |x|

Now, we are told that it is first translated tp the left by 12 units. Now, it is pertinent to note that when we translate a function by a units to the left it means that we add a units to the x value.

Thus, a translation of f(x) by 12 units to the left gives us;

f'(x) = |x + 12|

Now, we are told that the next transformation is reflection over the x-axis. When we reflect over the x-axis, it means a negative of the function which means we now have;

g(x) = -|x + 12|

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1/10⁻³ as a positive exponent is 10³.

How to convert a negative exponent to a positive exponent?
The negative exponent instructs us to rewrite the formula by getting the base's reciprocal and then switching the exponent's sign. A positive exponent indicates that the base should be multiplied by that many. Depending on the question at hand, you must flip an exponent from numerator to denominator or from denominator to numerator in order to change its sign.

Given, the exponent is y = 1/10⁻³
Multiplying both numerator and denominator of y with 10³, we get,
y = 10³/(10⁻³×10³) = 10³/1 = 10³
Therefore, 1/10⁻³ as a positive exponent is 10³.

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The rate of change is $17.5  per week.

A rate in mathematics is the comparison of two related values expressed in different units.

Jevonte adds $17.50 every week. so the rate of change in his account each week is 17.5 dollars.

Therefore the rate of change is 17.5 dollars per week.

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Answer:

Given:

The sum of given two number is,

So, the answer is zero.

The distance between the points ( – 8, – 8) and (6, – 8) is 14, according to the definition of distance

The distance between two points is equal to the length of the segment that joins them. Therefore, to determine the distance between two different points, you must calculate the squares of the differences between their coordinates and then find the root of the sum of said squares.

That is, given the coordinates of two different points (x₁, y₁) and (x₂,y₂), the expression that allows calculating the distance "d" between two different points on the Cartesian plane is:

d= √[(x₂ - x₁)² + (y₂ - y₁)²]

In this case, you know:

Substituting in the definition of distance:

d= √[(6-(-8))² + (-8 - (-8))²]

Solving:

d= √[(6+8)² + (-8 +8)²]

d= √[14² + 0²]

d= √14²

d= √196

d= 14

Finally, the distance is 14.

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Addition of fraction:

1.  13/18                       7. 7/8

2.  19/28                       8. 29/36

3.   29/24                      9. 23/60

4.   1/2                         10. 1/2

5.   47/40                     11. 11/56

6.   37/36                      12. 13/45

Given, the expressions are:

1. 1/6 + 5/9

take LCM of 6 and 9

LCM = 18

hence, 1×3/6×3 + 5×2/9×2

= 3/18+10/18

= 3+10/18

= 13/18

2. 1/4 + 3/7

take LCM of 4 and 7

LCM = 28

hence, 1×7/4×7 + 3×4/7×4

= 7/28+12/28

= 7+12/28

= 19/28

3. 5/6+3/8

take LCM of 6 and 8

LCM = 24

hence, 5×4/6×4 + 3×3/8×3

= 20/24+9/24

= 20+9/24

= 29/24

4. 2/5+1/10

take LCM of 5 and 10

LCM = 10

hence, 2×2/5×2 + 1×1/10×1

= 4/10+1/10

= 4+1/10

= 5/10

= 1/2

5. 7/8 + 3/10

take LCM of 8 and 10

LCM = 40

hence, 7×5/8×5 + 3×4/10×4

= 35/40+12/40

= 35+12/40

= 47/40

6. 4/9+7/12

take LCM of 9 and 12

LCM = 36

hence, 4×4/9×4 + 7×3/12×3

= 16/36+21/36

= 16+21/36

= 37/36

7. 1/4+5/8

take LCM of 4 and 8

LCM = 8

hence, 1×2/4×2 + 5×1/8×1

= 2/8+5/8

= 2+5/8

= 7/8

8. 1/4+5/9

take LCM of 4 and 9

LCM = 36

hence, 1×9/4×9 + 5×4/9×4

= 9/36+20/36

= 9+20/36

= 29/36

9. 3/10+1/12

take LCM of 10 and 12

LCM = 60

hence, 3×6/10×6 + 1×5/12×5

= 18/60+5/60

= 18+5/60

= 23/60

10. 2/7+3/14

take LCM of 7 and 14

LCM = 14

hence, 2×2/7×2 + 3×1/14×1

= 4/14+3/14

= 4+3/14

= 7/14

= 1/2

11. 1/8+1/14

take LCM of 8 and 14

LCM = 56

hence, 1×7/8×7 + 1×4/14×4

= 7/56+4/56

= 7+4/56

= 11/56

12. 2/9+1/15

take LCM of 9 and 15

LCM = 45

hence, 2×5/9×5 + 1×3/15×3

= 10/45+3/45

= 10+3/45

= 13/45

Hence we get the desired answers of the fractions in addition form.

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Answer:

x=9

Step-by-step explanation:

A triangle is equaled to 180

13x+2+3x-4+5x-7=180

Combine like terms

21x-9=180

Add 9 to both side

21x=189

Divide 21 on both sides

x=9

CHECK:

13x+2

Substitute x with 9

13*9+2=119

3x-4

Substitute x with 9

3*9-4= 23

5x-7

Substitute x with 9

5*9-7=38

119+23+38=180

Answer:

Step-by-step explanation:

13x  + 2 + 5x -7 + 3x - 4 = 180°

21x -9 = 180°

21 x = 180 + 9

21 x = 189

x = 189 : 21

x = 9

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

check

13 * 9 + 2 + 5 * 9 - 7 + 3 * 9 - 4 = 180     (remember pemdas)

180 = 180

the answer is good

Answer:

and

Step by step explanation:

An angle is in standard position if its vertex is located at the origin, and its initial side extends along the positive x-axis.

Answer:

they are repetative situations

Step-by-step explanation:

Given:

Angle = 44 degrees.

Adjacent side = 6 units.

Hypoteuse side = x units

Recall the formula for cosine,

Substitute Adjacent side = 6 units, Hypoteuse side =x units and angle =44, we get

Round off, we get

Hence the value of x is 8.3 units.

The given expression is

First, we subtract 8 from each side

Then, we divide the equation by 2.

Answer:

x=-1

Step-by-step explanation:

2x+8=6

    -8. -8

     2x=-2

     /2. /2

     X=-1

Answer: 32s-24

Step-by-step explanation:

Multiply each term in parentheses by 6, combine like terms

Answer:

32s-24

Step-by-step explanation:

The equation can be given as [tex]2.5x=55[/tex] and Alex bought [tex]22[/tex] number of boxes

What is linear equation in one variable?

A linear equation is a equation in one variable whose degree is one.

We are given that Alex bought boxes of pencils worth $55 and the cost of 5 boxes of pencils is $2.5 each

Let the number of boxes of pencils bought by Alex is [tex]x[/tex]

Therefore the equation can be given as,

[tex]2.5x=55[/tex]

Dividing both sides by 2.5,

[tex]x=22[/tex]

Therefore, The equation can be given as 2.5x=55 and Alex bought 22 boxes of pencils

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The list of numbers which are less than 13 is:

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12. (12 elements)

The answer would be 12.

Suppose that B is the midpoint of segment AC; therefore, AB=BC

Thus,

Solve for x as shown below

Answer:

0 or undefined

Step-by-step explanation:

Hey! Let's help you with your question here!

So, you're trying to find the slope of a line that goes through two given points. To recall, we're trying to find m from the slope-intercept form ([tex]y=mx+b[/tex]). Now we have two points, so is it possible to find the slope given that? Yes! It is! And that is using the slope between two points! Here's how it works:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

This is the formula! Essentially, we'll be able to figure out the slope based on two points in just plugging in the x and y coordinates into the formula. So it becomes:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{6-7}{-8-(-8)}[/tex]

[tex]m=\frac{-1}{0}[/tex]

Now, a problem arises here. While the numerator does give us a value of -1, the denominator ends up being a value of 0. We cannot divide anything by 0 because there's nothing to divide -1 into. In this case, the slope of this line would be classified as undefined. However, in the case of your answer choices, if we were to plot the points on the graph, you'll notice that it's a vertical straight line. So the slope would technically 0.

Answer:

Follow these steps to your questions

Answer:

(9, -2)

Explanation:

If a point X partition a segment that starts in point (x1, y1) and ends at point (x2, y2) in a ration a:b, the coordinates of X will be equal to:

So, replacing (x1, y1) by point W(3, 7) and (x2, y2) by point Y(13, -8) and the ratio a : b by 3 : 2, we get that the coordinates of X are:

Therefore, the coordinates of X are (9, -2)

The most appropriate choice for compound interest will be given by-

1) If compounded monthly, amount = $9160

2)If compounded continuously, amount = $218

What is compound interest?

If the interest on a certain principal at a certain rate over a certain period of time increases exponentially (not linearly), the interest earned is known as compound interest.

If P is the principal, r is the rate and t is the time in years,

[tex]A = P(1+\frac{r}{100})^n[/tex]

Here,

Principal = $28

Rate = 4%

Time = 2010 - 1855

         = 145 years

a) If compounded monthly

Amount =

[tex]28(1 + \frac{4}{1200})^{145\times 12}\\28(1 + \frac{1}{300})^{1740}\\28(\frac{300+1}{300})^{1740}\\28(\frac{301}{300})^{1740}\\28 \times 327.13\\[/tex]

$9159.56

$9160

b) If compounded continuously

Amount =

[tex]28 \times e^{4\times 145}\\28e^{580}\\28 \times 7.78\\[/tex]

$217.84

$218

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The correct answer is: The set must have a constant additive rate of change.

Let Y be a data set containing an independent and dependent variable.

The standard form of the equation of a line is given by y = mx + b, where x is an independent variable and y is a dependent variable, m is the slope, and b is the y-intercept.

Now, when m = 1,

y = x + c

When m = 2,

y = 2x + c = x + x + c

When m = 3,

y = 3x + c = x + x + x + c

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For Car A:

Initial depreciation = 30000(0.25)

= 7500

Cost = 30000 - 7500

= $22500

Equation = Cost = $22500 - 2000t This is the equation for Car A

For Car B

Initial depreciation = 25000(0.1)

= 2500

Cost = 25000 - 2500 = 22500

Equation Cost = 22500 - 1500t This is the equation for Car B

The area of the stove top is 7 ft².

The region that an object's shape defines as its area. The area of a figure or any other two-dimensional geometric shape in a plane is how much space it occupies.

Area equals length times width.

Area = l b. Area = r2( = 3.14), where r is the radius. These methods can also be used to determine the area of various quadrilaterals, a particular type of polygon with four sides and angles less than 90 degrees.

An object's area is how much space it takes up in two dimensions. It is the measurement of the quantity of unit squares that completely cover the surface of a closed figure. The square unit, which is frequently expressed as square inches, square feet, etc., is the accepted unit of area.

Given ,

Length = 3 1/2

Width = 2ft

Area=3 1/2*2

= 7/2*2

= 7ft²

Therefore the area of the stove top is 7ft²

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we have the function

f(x)=3x^2-54x+241

this is a vertical parabola open upward (because the leading coefficient is positive)

the vertex is a minimum

Convert the quadratic equation into vertex form

y=a(x-h)^2+k

where

(h,k) is the vertex

and the axis of symmetry is equal to the x-coordinate of the vertex

so

x=h

step 1

Factor the leading coefficient