Identify two angles that are marked
congruent to each other on the diagram
below. (Diagram is not to scale.)

Answer:

-2090

Step-by-step explanation:

1)  Remove parentheses.

-2 -8 -32 -2048

2) Simplify - 2 - 8 to -10.

-10 - 32 - 2048

3) Simplify -10-32 to -42.

-42 - 2048

4) Simplify.

-2090

1) [tex]\overline{NQ}[/tex] is the bisector of [tex]\angle MNP[/tex] and [tex]\angle NMQ \cong \angle NPQ[/tex] (given)

2) [tex]\angle MNQ \cong \angle QNP[/tex] (a bisector splits an angle into two congruent angles)

3) [tex]\overline{NQ} \cong \overline{NQ}[/tex] (reflexive property)

4) [tex]\triangle MNQ \cong \triangle PNQ[/tex] (AAS)

Answer:

The surface area of the triangular prism is [tex]624cm^{2}[/tex]

Step-by-step explanation:

First find the area of the triangle.

The formula of the area of triangle is: [tex]\frac{1}{2} * h*b[/tex]

h=height

b=base or width.

[tex]\frac{1}{2}*16*12[/tex]

But, since we have two triangles we can skip the [tex]\frac{1}{2}[/tex] because [tex]2*\frac{1}{2} =1[/tex].

[tex]16*12=192[/tex], that is the area of the two triangles combined.

Now let's find the area of the rectangles. I'll start with the diagonal one.

The formula of the area of the rectangle is: [tex]h*b[/tex].

[tex]20*9=180[/tex].

The next rectangle.

[tex]9*16=144[/tex]

The final rectangle.

[tex]12*9=108[/tex]

Now combine all the areas to find the surface area of the triangular prism.

[tex]192+180+144+108=624[/tex]

The surface area of the triangular prism is [tex]624cm^{2}[/tex]

Hope this helps!

If not, I am sorry.

An expression is defined as a set of numbers, variables, and mathematical operations.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The expression that is equivalent to 2.3p – 10.1 = 6.5p – 4 – 0.01p are given below,

If the given expression 2.3p – 10.1 = 6.5p – 4 – 0.01 is simplified, then the expression can be written as,

2.3p – 10.1 = 6.5p – 4 – 0.01

2.3p – 10.1 = 6.49p – 4

Thus, Option A is one of the option.

Using the multiplication property of Equality, if we multiply both the sides of the equation by 100, then we will get,

230p – 1010 = 650p – 400 – p

Thus, c is one of the option.

Hence, the correct options are A and C.

Learn more about Expression:

https://brainly.com/question/13947055

#SPJ1

Answer:

Answer:

1.1, 1.2, 1.3, 1.4, 1.5     or        11/10, 12/10, 13/10, 14/10, 15/10

Explanation:

Rational numbers can be expressed as fractions (p/q), decimals, whole numbers, natural numbers, integers.

Some rational numbers between 1 and 2 are: -

1.05, 1.1, 1.15, 1.2, 1.3, 1.4, 1.5, 1.6, 1.7, 1.8, 1.9, 1.95, 1.97

Five rational numbers are

Answer:

Step-by-step explanation:

Comment

The one you can pick out that is true is D. The others you have to be careful with. C is a line and it has two arrowheads in the symbol above the two letters which makes it correct as well. A is not correctly marked, so it is not there the way it is marked. One would think ZX is a ray the way it is marked.

Answer: C and D

Answer:

<

Step-by-step explanation:

0.4<0.7

4 is smaller than 7 so the sighn points to 0.7

Answer: 165

Step-by-step explanation: If you calculate the 3 different choices and the total of 11 different objects, you get 165 total combinations.

Answer:

45 possible combinations

Step-by-step explanation:

since there are 5 options of flavour (chocolate, strawberry, vanilla, cookies 'n' cream, and peanut butter) then you must multiply your flavours by your next option.

the size options come in 3 options (small, medium, and large) therefore we multiply the flavours (5) by sizes (3)

5 * 3 = 15

then multiply the result (15) by the cup options (3)

15 * 3 = 45

your answer is 45

hope this helps:)

Answer:

4x² + x - 7

Step-by-step explanation:

Given f(x) = -3 and g(x) = 4x² + x - 4, solve for (f + g)(x).

Step 1: Replace the function designators with the actual functions in f(x) and g(x); that gives us 4x² + x - 4 - 3.

Step 2: Simplify; that gives us the answer 4x² + x - 7.

The  polynomial p(x) = x³ + 5x² - x - 5, can be factored and grouped and be written as p(x) = (x + 5)(x + 1)(x - 1).

The given polynomial to us is p(x) = x³ + 5x² - x - 5.

We are asked to factor the polynomial by grouping.

We can do this by following these steps:

Therefore, the polynomial p(x) = x³ + 5x² - x - 5, can be factored and grouped and be written as p(x) = (x + 5)(x + 1)(x - 1).

Learn more about the factorization of a polynomial at

https://brainly.com/question/11434122

#SPJ10

The estimated regression equation is Price = bo +b1Age+ b2Mileage + b3Cylinders

We have:

The regression equation is estimated using:

Price = bo +b1 * Variable 1+ b2 * Variable 2 + b3 * Variable 3

Substitute the variable parameters

Price = bo +b1Age+ b2Mileage + b3Cylinders

Hence, the estimated regression equation is Price = bo +b1Age+ b2Mileage + b3Cylinders

Read more about regression equation at:

https://brainly.com/question/25987747

#SPJ12

Answer:

A)  3%

B)  Product A

Step-by-step explanation:

Exponential Function

General form of an exponential function: [tex]y=ab^x[/tex]

where:

If b > 1 then it is an increasing function

If 0 < b < 1 then it is a decreasing function

Part A

Product A

Assuming the function for Product A is exponential:

[tex]f(x) = 0.69(1.03)^x[/tex]

The base (b) is 1.03.  As b > 1 then it is an increasing function.

To calculate the percentage increase/decrease, subtract 1 from the base:

⇒ 1.03 - 1 = 0.03 = 3%

Therefore, product A is increasing by 3% each year.

Part B

[tex]\sf percentage\:change=\dfrac{final\:value-initial\:value}{initial\:value} \times 100[/tex]

To calculate the percentage change in Product B, use the percentage change formula with two consecutive values of f(t) from the given table:

[tex]\implies \sf percentage\:change=\dfrac{10201-10100}{10100}\times 100=1\%[/tex]

Check using different two consecutive values of f(t):

[tex]\implies \sf percentage\:change=\dfrac{10303.01-10201}{10201}\times 100=1\%[/tex]

Therefore, as 3% > 1%, Product A recorded a greater percentage change in price over the previous year.

Although the question has not asked, we can use the given information to easily create an exponential function for Product B.

Given:

[tex]\implies f(t) = 10100(1.01)^{t-1}[/tex]

To check this, substitute the values of t for 1 through 4 into the found function:

[tex]\implies f(1) = 10100(1.01)^{1-1}=10100[/tex]

[tex]\implies f(2) = 10100(1.01)^{2-1}=10201[/tex]

[tex]\implies f(3) = 10100(1.01)^{3-1}=10303.01[/tex]

[tex]\implies f(4) = 10100(1.01)^{4-1}=10406.04[/tex]

As these values match the values in the given table, this confirms that the found function for Product B is correct and that Product B increases by 1% per year.

Answer:

Step-by-step explanation:

Answer:

-12

Step-by-step explanation:

x = 12-3a

When a=8:

x = 12-3(8)

x = 12 - 24

x = -12

Yes, it is possible to have a perfect square binomial. The detailed information is given below.

In trinomial, there are three terms and in binomial, there are two terms.

Let the perfect square of the binomial will be given as

⇒ (a + b)²

There are only two terms a and b and has a square on it. So the expression (a + b)² is a perfect square binomial.

Open the bracket, then we have

(a + b)² = a² + b² + 2ab

There are only three terms a², 2ab and b² and derived from a perfect binomial square. So the expression a² + b² + 2ab is a perfect square trinomial.

More about the perfect square binomial to trinomial link is given below.

https://brainly.com/question/14396504

#SPJ1

Answer:

a) Angle X = 108°

as AD is parallel to EH both the angles are equal

Answer:

108 degrees, vertical angles

Step-by-step explanation:

Angle x is 108 degrees because angle x and angle EFB are vertical angles, meaning that they are equal since opposite angles have the same measures.

Brainliest, please :)

Answer:

(A). y - 4 = 3 ( x - 1 )

Step-by-step explanation:

Slope "m" and ( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] ) ⇒

Slope-point form of linear equation is y - [tex]y_{1}[/tex] = m( x - [tex]x_{1}[/tex] )

~~~~~~~~~~~~~

m = 3 and point with coordinates ( 1 , 4 )

y - 4 = 3 ( x - 1 )

Answer:

x = 5.00 cm

Step-by-step explanation:

• area of the rectangle = [tex]x[/tex]   x   [tex](x + 1)[/tex]

                                     = [tex]x^2 + x[/tex]

• area of the circle = π r²

                               = [tex]\frac{22}{7}[/tex]   x   [tex](x + 2)^2[/tex]

                               = [tex]\frac{22}{7}[/tex]   x   [tex](x^2 + 4x + 4)[/tex]

∴   [tex]x^2 + x[/tex]   +    [tex]\frac{22}{7}[/tex]   x   [tex](x^2 + 4x + 4) = 184[/tex]  

⇒  [tex]x^2 + x[/tex]      +   [tex]\frac{22}{7} x^2 \space\ + \space\ \frac{88}{7} x \space\ + \space\ \frac{88}{7} = 184[/tex]

⇒  [tex]\frac{29}{7}x^2 \space\ + \space\ \frac{95}{7}x \space\ - \frac{1200}{7} = 0[/tex]

• Using quadratic formula, where

a = [tex]\frac{29}{7}[/tex]

b = [tex]\frac{95}{7}[/tex]

c = [tex]\frac{-1200}{7}[/tex] ,

[tex]x=\frac{-b \pm \sqrt{b^2-4c}}{2}[/tex]

[tex]x = \frac{-\frac{95}{7}\pm \sqrt{(\frac{95}{7})^2 - 4(\frac{29}{7})(\frac{-1200}{7} ) } }{2(\frac{29}{7})}[/tex]

[tex]x = 5.00 \space\ \space\ \space\ or \space\ \space\ \space\ x = -8.28[/tex]

As length (x) cannot be a negative number,

x = 5.00 cm

The matrix elements are nothing more than the matrix entries. The correct option is B.

The matrix elements are nothing more than the matrix entries. They can be integers, variables, mathematical formulas, or any other type of character included within the matrix.

The value of a₁₄ is the value of the element of the given matrix, where 1 represents the row and 4 represents the column. Therefore, the value of a₁₄ is the element of the first row and the fourth column, which means the value of a₁₄ is 5.

Hence, the correct option is B.

Learn more about the Element of a Matrix:

https://brainly.com/question/12567347

#SPJ1

Answer:

John is 19 and his sister is 23.

Step-by-step explanation:

See attached image.

The probability of rolling an even number on a number cube and spinning red or yellow on the spinner will be 1/4 or 0.25.

The complete question is given below.

I rolled a number cube and spun a spinner. The number cube is numbered 1 to 6. The spinner has 4 equal parts: red, blue, yellow, and green. What is the probability of rolling an even number on a number cube and spinning red or yellow on the spinner?

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

Then the probability of rolling an even number on a number cube and spinning red or yellow on the spinner will be

The probability of getting even number on dice will be

Total event = 6 {1, 2, 3, 4, 5, 6}

Favorable events = 3 {2, 4, 6}

P₁ = 3/6

P₁ = 1/2

The probability of getting red or yellow will be

Total event = 4 {red, blue, yellow, green}

Favorable events = 2 {red, yellow}

P₂ = 2/4

P₂ = 1/2

Then the both event occur simultaneously, then we have

P = P₁ × P₂

P = 1/2 × 1/2

P = 1/4

P = 0.25

More about the probability link is given below.

https://brainly.com/question/795909

#SPJ1

Answer:

(f + g)(x) = 6x³ - 3x² + 7x - 8  

Step-by-step explanation:

Another way of writing (f + g)(x) is f(x) + g(x). So, this question is asking you to combine both of the functions.

f(x) + g(x)                                          

(4x² + 7x - 3) + (6x³ - 7x² - 5)                      <----- Insert functions

-3x² + 7x - 3 + 6x³ - 5                                 <----- Combine 4x² and -7x²

-3x² + 7x - 8 + 6x³                                       <----- Combine -3 and -5

6x³ - 3x² + 7x - 8                                       <----- Rearrange

For the graphed function we can see:

For a function y = f(x), the domain is the set of the possible inputs "x" and the range is the set of the possible outputs "y".

In this case, we can see that in the right side we have a parabola, and on the left side a linear equation which increases up to the left (so it has a negative slope).

Then the domain will be the set of all real numbers.

Similar for the range, as we can see that on the left side, the line goes upwards, while on the right side, the parabola goes downwards. So this function has a range of all real numbers.

Then:

domain = set of all real numbers

range = set of all real numbers.

If you want to learn more about domain and range:

https://brainly.com/question/10197594

#SPJ1

Answer:

7 units to the left.

Step-by-step explanation:

On the number line , the number will always decrease when we move towards the left, and likewise will always increase when we move towards the right. In this case since the number is moving from 0 to -7, it is definitely decreasing therefore we will move 7 units to the left.

Answer:

80%

Step-by-step explanation:

I'm assuming you meant express 4/5 as a percent and not 4/5%. So simply evaluate 4/5 to get 0.80. Now multiply this value by 100 to get the percentage which gives you 80%

The value of a is 1 if the area of square ABCD is 10 cm² showing that x²+6x=a where a is a constant.

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

The question is incomplete.

The question is:

The area of square ABCD is 10 cm² showing that x²+6x=a where a is a constant to be found.

The missing figure is attached; please refer to the picture.

As we can see in the figure we have given a rectangle.

Area of rectangle = (3 + x)(3 + x)

10 = (3 + x)(3 + x)

or

10 = (3 + x)²

10 = 9 + 6x + x²

After rearranging:

x² + 6x = 1

We have equation:

x² + 6x = a

After comparing:

a = 1

Thus, the value of a is 1 if the area of square ABCD is 10 cm² showing that x²+6x=a where a is a constant.

Learn more about the rectangle here:

https://brainly.com/question/15019502

#SPJ1

The attached graph represents the graph of the equation 3x + y = 10

The given parameters are:

Represent the number of smoothies with x and the number of candy bears with y.

So, the equation is:

3x + 1y = 10

This gives

3x + y = 10

Next, we plot the graph of the above equation

See attachment for the graph of 3x + y = 10

Read more about linear equations at:

https://brainly.com/question/14323743

#SPJ1

The line equation 3x + y = 10 represents the budget constraints and possible purchasing options that Sarah has with her $10, and the graph is shown in the picture.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

Sarah is going to the movies, and she has $10 to spend on snacks. Smoothies are $3 and candy bars are $1 each. She will be spending all of the $10.

Let's suppose the number of smoothies is x and the number of candy bars is y:

Then, we can frame a linear equation in one variable:

3x + y = 10

Drawing the above the line on the coordinate plane:

Thus, the line equation 3x + y = 10 represents the budget constraints and possible purchasing options that Sarah has with her $10, and the graph is shown in the picture.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ1