Use the diagram to the right for questions 16 - 20.
MNP ~ SRP

Answer:

F. Yes, by the SAS Congruence Theorem

Explanation:

In △ABC and △EDC:

Hence, by the SAS Congruence Theorem, which states two triangles, with two sides and one angle equal, as congruent.

△ABC ≅ △EDC

Answer:

If three sides of one triangle are congruent to three corresponding sides of another triangle, then the triangles re congruent.  SSS

Step-by-step explanation:

or If two sides and the included angle of one triangle are congruent to the corresponding sides and the included angle of another triangle, then the triangles are congruent.  SAS

Answer:

A: (x = 34, y = -27, z = -1)

Step-by-step explanation:

Plug the variables in. It might be tedious, but it guarantees you get it right.

Let's try A first. 2(34) + 2(-27) + 6(-1) = 8. Is this correct? Yes. However, you gotta plug it in for the other three equations. 5(34) + 6(-27) + 5(-1) = 3. Is this correct? Yes again. One last equation. 5(34) + 6(-27) + 3(-1) = 5. That's correct as well. The answer is A.

In case you still weren't sure if the answer was A or not;

B: 2(33) + 2(-26) + 6(0) = 14. Right away we can see that B will be incorrect.

C: 2(35) + 2(-28) + 6(-2) = 2. Again, incorrect.

D: 2(36) + 2(-29) + 6(1) = 20. Incorrect!

A is the correct answer.

Answer:

x = 1

Step-by-step explanation:

[tex]\frac{3x-3}{5}[/tex] = [tex]\frac{2x-2}{4}[/tex] ( cross- multiply )

4(3x - 3) = 5(2x - 2) ← distribute parenthesis on both sides

12x - 12 = 10x - 10 ( subtract 10x from both sides )

2x - 12 = - 10 ( add 12 to both sides )

2x = 2 ( divide both sides by 2 )

x = 1

Answer:

its you again

Step-by-step explanation:

if they have the same amount of dashes on the same sided they are congruent

does that answer your question

if they have the same amount of dashes on the same sided they are congruent

Answer:

B

Step-by-step explanation:

Answer:

linear

Step-by-step explanation:

Answer:

11 minutes

Step-by-step explanation:

45% of 20 can be found by multiplying 20 and 0.45

which equals 9

so if the average delay was 20 but is now 9 minutes shorter then the current year's average is 11 minutes

The average delay in the current year is 11 minutes.

Given that, last year, a particular airline had an average flight delay of 20 minutes.

This year the airline has an average that is 45% shorter.

We need to find what is the current year's average.

In maths, the average value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values.

Now, 45% of 20=45/100×20=9

So,20-9=11

Hence, the average delay in the current year is 11 minutes.

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The result of the log function [tex]log_a (m * n ^ 2)[/tex]  is 60

According to the law of logarithm if [tex]log_ab=y[/tex] then [tex]b=a^y[/tex]

Given the following expressions

[tex]log_am=10\\log_an=25[/tex]

This can be expressed as

[tex]m =a^{10} \ and \ n = a^{25}[/tex]

Substitute the value of m and n into the expression [tex]log_a (m * n ^ 2)[/tex] to have:

[tex]log_a (m * n ^ 2) = log_a(a^{10}\times a^{50})\\=log_aa^{60}\\=60log_aa\\=60(1) \\= 60[/tex]

This shows that the result of the log function [tex]log_a (m * n ^ 2)[/tex]  is 60

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Answer:

It is the Last answer D

Step-by-step explanation:

because 15/2 is equal to 7 1/2

the square room of 64 is 8

and 8.1444444 is less than 8 1/7

Answer:

FE = 43.2

Step-by-step explanation:

FE/36 = 24/20

multply both sides by 36

FE = 24/20 * 36

FE = 43.2

Step-by-step explanation:

[tex] \\ \frac{2}{3} \times 2 +3 \frac{1}{3} [/tex]

[tex] \\ = \frac{4}{3} + 3 \frac{1}{3} [/tex]

[tex] \\ = \frac{4}{3} + \frac{10}{3} [/tex]

[tex] \\ = \frac{4 + 10}{3} [/tex]

[tex] \\ = \frac{14}{3} [/tex]

[tex] \\ = 4\frac{2}{3} \: \: or \: \: 4.67[/tex]

m=3-1/3+2=2/5

Equation of line in point slope. form

[tex]\\ \sf\longmapsto y-y_1=m(x-x_1)[/tex]

[tex]\\ \sf\longmapsto y-1=2/5(x-(-2))[/tex]

[tex]\\ \sf\longmapsto y-1=2/5(x+2)[/tex]

[tex]\\ \sf\longmapsto 5y-5=2x+4[/tex]

[tex]\\ \sf\longmapsto 2x-5y+9=0[/tex]

The equation of the line is y = (2/5)x - 1/5 which passes through the points (-2, 1) and (3, 3).

The slope of a line is defined as the angle of the line.

Given that line passes through the points (-2, 1) and (3, 3)

Let the required line would be y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

x₁ = -2, y₁ = 1

x₂ = 3, y₂ = 3

⇒ y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

Substitute values in the equation, we get

⇒ y - 1 = (3 - 1)/(3-(-2))[x -(-2)]

⇒ y - 1 = (2)/(5)[x+2]

⇒ y - 1 = 2/5(x -3)

⇒ y = (2/5)x - 6/5 + 1

⇒ y = (2/5)x - 1/5

Therefore, the equation of the line is y = (2/5)x - 1/5 which passes through the points (-2, 1) and (3, 3).

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Answer:

i dint know about you but i got 2.98765432099

Step-by-step explanation:

im not sure if in right though

If any doubt please comment what you need clarification on.

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Answer:

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

using pythagoras theorem

h²=p²+b²

Answer:

105-15x=30

5 days

You can spend the amount of $15 a day for 5 days if you have $105 to take with you.

A numerical expression is algebraic information stated in the form of numbers and variables that are unknown. Information can is used to generate numerical expressions.

You're going on vacation. You have $105 with you. You plan to spend $15 per day. You want to have $30 left at the end of your trip.

Let the number of days would be x

According to the given information, the required solution would be as

105 - 15x = 30

The above explicit formula represents the given scenario.

105 - 15x = 30

Rearrange the terms in the above equation,

15x = 105 - 30

Apply the subtraction operation,

15x = 75

x = 75/5

Apply the division operation,

x = 5

Therefore, you can spend the amount of $15 a day for 5 days.

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Answer:

Step-by-step explanation:

Answer:

D+M=132?

Sorry if this is not helpful. I tried my best

Answer:

let x stand for number of weeks

135+15x>=480

x>=23

Step-by-step explanation:

subtract 135 on both sides

15x>=345

divide by 15 on both sides

x>=23 is your solution

Answer:10

Step-by-step explanation:

10

Answer:

A 65

Step-by-step explanation:

x = -5

y = -8

-5 - 5 (-8)^2 / -5 = -325 / -5

= 65

Answer:

65

Step-by-step explanation:

So, this expression is asking us to solve an equation when x = -5 and y = -8.

When asked to solve problems like this, all we have to do is plug in the numbers accordingly

[tex]\frac{x-5y^2}{x} ---->\frac{(-5)-5(-8)^2}{(-5)}[/tex]

Now, we can simplify using PEMDAS

[tex]\frac{-5-5(64)}{-5} = \frac{-5-320}{-5} = \frac{-325}{-5} = 65[/tex]

Please correct me if i'm wrong :)

Answer:

C. inconsistent

Step-by-step explanation:

3x - y = 5                      6x = 2y + 5         Solve for y

3x - 5 =  y                      6x - 5 = 2y

3x - 5 = y                       [tex]\frac{6x}{2} - \frac{5}{2} = \frac{2y}{2}[/tex]

3x - 5 = y                       3x - 2.5 = y

Slope = 3                       Slope = 3                    Same slope

y-intercept: -5                 y-intercept: 2.5         Different intercepts

                                                                           not solution set

Answer:

20= 20

21. 10

22. 1.8

23. 4.4

24. 32

25. 7/9

If a=6, b=12,and c=4, then what does 2ab-c^2 equal?

Answer: 2(6)(12)-4^2 = 128

What is the prime factorization of 100,000?

Answer: 2^5× 5^5

Solve for x. 5.8 = 4x+0.2

Answer: x= 1.4

Find the area of this shape.

Answer: Area = 1.21

What is the lateral surface area of this rectangular prism?

Answer: 208 in^2

5/9 + 1/3 × 1/3 = 0.66666666666 = 2/3

Step-by-step explanation:

The prime factorization of 100,000 is 2^5 × 5^5. Since it has a total of 10 prime factors, 100,000 is a composite number.

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5.8-0.2=4+0.2−0.2

5.6 = 4x

5.6/4  = 4x/4

x= 1.4

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Square sides are equal..

A=a^2=1.1^2≈1.21

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The lateral surface area of a rectangular prism can be calculated by finding the sum of all the lateral faces of the prism, i.e. the total area excluding the area of the bases. The formula to find the surface area of a rectangular prism is given as, Lateral surface area of a rectangular prism = 2(l + b) h square units.

When a prism has its bases facing up and down, the lateral area is the area of the vertical faces. (For a rectangular prism, any pair of opposite faces can be bases.) The lateral area of a right prism can be calculated by multiplying the perimeter of the base by the height of the prism.

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Answer:

where is the graph??

Step-by-step explanation:

i have no picture soooo like

Answer:

When rotating a point 90 degrees counterclockwise about the origin our point A(x,y) becomes A'(-y,x). In other words, switch x and y and make y negative. When rotating a point 180 degrees counterclockwise about the origin our point A(x,y) becomes A'(-x,-y). So all we do is make both x and y negative.

Step-by-step explanation:

Answer:

Having trouble using logarithmic differentiation!

Answer:

(1,0)

Step-by-step explanation:

Hi there!

We want to find the x intercept of the line that passes through the point (3,4) and has a slope of 2

First, let's find the line

We are given both a slope, and a point. We can write the equation of the line in point-slope form, which is [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1, y_1)[/tex] is a point

We do have everything needed to write the equation, let's just label everything to avoid confusion:

m=2

[tex]x_1=3[/tex]

[tex]y_1[/tex]=4

Now substitute those values as the variables that they represent into the equation:

[tex]y-y_1=m(x-x_1)[/tex]

y-4=2(x-3)

Now we have the equation in slope-point form

The x intercept of the line is the value in which the line passes through the x axis. The value of y at this point is 0

So we can substitute y as 0 in the equation to find out the value of x:

y-4=2(x-3)

0-4=2(x-3)

Multiply

0-4=2x-6

Add 6 to both sides

0+2=2x

Simplify the left

2=2x

Divide both sides by 2

1=x

So the value of the x intercept is 1, also written as the point (1,0)

Hope this helps!

Answer:

18x+7

Step-by-step explanation:

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

6x+15 + 12x - 8.........distribute

18x+7..........................combine like terms

18x+7

[tex]Hiya![/tex]

Sokka is here to help!!

Here's a explanation!

[tex]3(2x + 5) + 4(3x - 2)[/tex]

You have to distribute:

[tex]=(3)(2x)+(3)(5)+(4)(3x)+(4)(-2)[/tex]

[tex]=6x+15+12x+-8[/tex]

You must combine like terms:

[tex]=6x+15+12x+-8[/tex]

[tex]=(6x+12x)+(15+-8)[/tex]

[tex]=18x+7[/tex]

ANSWER:

[tex]=18x+7[/tex]

Hopefully, this helps you!!

[tex]Sokka[/tex]

Answer:

I have simplified it to −

2 ^ 3 − 3 ^2 +  

Step-by-step explanation:

[tex] \large\color{green}{ \tt{2w³ +3w² −w}}[/tex]

[tex] \large\color{green}{ \tt{−2(−w)w² −3(−w)w−}}[/tex]

[tex] \large\color{green}{ \tt{2ww² − 3(− w)w − w}}[/tex]

[tex] \large\color{green}{ \tt{2w³ − 3(−w)w − w}}[/tex]

[tex] \large\color{green}{ \tt{2w³ + 3ww − w}}[/tex]

[tex] \large\color{green}{ \tt{2w³ + 3w² - w}}[/tex]

Hope It's Help

Answer:

A decimal is used to identify a unit of measure with precision because not all whole numbers cannot represent a unit of measure in a respective situation.

Answer:

Decimals are used to express the whole number and fraction together.

Step-by-step explanation: