Given: In the figure, B is the midpoint of AC and AD = EC. Prove: DB = BE.
Match each statement to its corresponding reason in the flow diagram. Drag the items on the left to the correct
location on the right.

1)

[tex]f(x) = 2x - 5\\f(4) = 2(4) - 5 = 8 - 5 = 3[/tex]

2)

[tex]f(x) = 2x - 5\\f(-6) = 2(-6) - 5 = -12 - 5 = -17[/tex]

3)

[tex]g(x) = x + 3\\g(8) = 8 + 3 = 11[/tex]

4)

[tex]h(x) = 4x\\h(5) = 4 \cdot 5 = 20[/tex]

5)

[tex]k(x) = x^2 + 2x - 5\\k(6) = 6^2 + 2 \cdot 6 - 5 = 36 + 12 - 5 = 43[/tex]

6)

[tex]k(x) = x^2 + 2x - 5\\k(-3) = (-3)^2 + 2(-3) - 5 = 9 - 6 - 5 = -2[/tex]

7)

[tex]g(x) = x + 3\\g(3x) = 3x + 3 = 3(x + 1)[/tex]

8)

[tex]f(x) = 2x - 5\\f(4x) = 2(4x) - 5 = 8x - 5[/tex]

9)

[tex]h(x) = 4x\\h(5t) = 4(5t) = 20t[/tex]

10)

[tex]k(x) = x^2 + 2x - 5\\k(4t) = (4t)^2 + 2(4t) - 5 = 16t^2 + 8t - 5[/tex]

11)

[tex]f(x) = 2x - 5\\f(x + 3) = 2(x + 3) - 5 = 2x + 6 - 5 = 2x + 1[/tex]

12)

[tex]f(x) = 2x - 5\\g(x) = x + 3\\f(g(x)) = 2(x + 3) - 5 = 2x + 6 - 5 = 2x + 1[/tex]

Answer:

$8.50hr+ $100=x

Step-by-step explanation:

His $8.50 per hour is given to him plus $100 bonus.

Answer:

Zero is a number that can be equal to its opposite.

So, the given equation has solution for which LHS=RHS=0.

Step-by-step explanation:

The answer to the equation is 2

Answer:

D 25t+10

Step-by-step explanation:

Distribute the 5 by multiplying it with 5t and then multiplying it with 2.

(5 * 5t) + (5 * 2)

25t + 10

Answer: the answer is D 25t + 10 hope this helps you

Step-by-step explanation:

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[tex] {x}^{2} - 7x + 18 = (x - 9)(x + 2) \\ [/tex]

Thus the correct answer is the second one.

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Answer:

[tex]2187[/tex]

Step-by-step explanation:

[tex]\frac{3^3}{3^-^4}[/tex]

When attempting to solve this, we have to consider the exponent rule of fractional exponents:

[tex]\frac{x^a}{x^b} =x^a^-^b[/tex]

Therefore, our initial problem would become:

[tex]3^3^-^(^-^4^)\\[/tex]

Two negatives become positive:

[tex]3^3^+^4[/tex]

Add:

[tex]3^7[/tex]

[tex]3[/tex] × [tex]3[/tex] × [tex]3[/tex] × [tex]3[/tex] × [tex]3[/tex] × [tex]3[/tex] × [tex]3[/tex]

[tex]= 2187[/tex]

Answer:

-550+45=(-505)

Step-by-step explanation:

You are at -505 meters below sea level

Answer:

You are now 38 m below base camp.

Step-by-step explanation:

Consider the provided information.

You start hiking at an elevation that is 80 meters below base camp.

Now your initial location is 80 m below base camp, that can be represents as: -80

Now you increase your elevation by 42.

So you go up by 42.

In other words, you get the equation -80+42 = -38.

Since, a negative value is below the base camp, this means that you are now 38 m below base camp.

Answer:

49

Step-by-step explanation:

so if you look at it you have to think which numbers will equal 144 and 23 plus 49 plus 3 is the answer

Answer:

1. (2,5),(1,3.5),(4,8),(6,11)

2. This is not a proportional relationship (explanation below)

Step-by-step explanation:

For the plotting, if you take some random x values and multiply by 1.5 and add 2 to them.  

This can't be a proportional relationship. A proportional relationship means the x and y values' ratios have to stay the same. However, because 2 is added to 1.5x, the equation is not proportional.

The four x and y values that make the equation true are (0,2), (-1.333,0), (1,3.5), and (1,3.5).

Therefore,

We select several x and y values,

1) Take x=0,

y = 1.5(0) + 2 =2.

The point is (0,2).

2) Take y=0,

0 = 1.5x + 2

x = -2/1.5 = -1.333

The point is (-1.333,0).

3) Take x=1,

y = 1.5(1) + 2 = 3.5

The point is (1,3.5).

4) Take y=1,

1 = 1.5x +2

1.5x = -1

x = -1/1.5 = -0.666.

The point is (-0.666,1).

The four sets of x and y numbers that make the equation true are (0,2), (-1.333,0), (1,3.5), and (0,2).

To learn more about proportional relationship, refer to:

brainly.com/question/21302696

#SPJ2

Answer:

The answer is D.

Step-by-step explanation:

Doing it rn you are welcome.

Answer: true

Step-by-step explanation:

Answer:

Your answer would be 329.1 ft.

Step-by-step explanation:

If he wants equal distance when he takes his 3 breaks up a mountain that is 987.3 feet tall, 329.1 multiplied by 3 equals 987.3

Answer:

Step-by-step explanation:

8a+6b

Answer:

8a+6b

Good Luck!!!

All points in the format: (x, 5x + 4) are in the line.

A few examples are: [tex](-2,-6), (-1,-1), (0,4), (1,9), (2,14)[/tex]

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

The equation of the line is:

[tex]y = 5x + 4[/tex]

This means that the points located on the line have the following format:

[tex](x, y) = (x, 5x + 4)[/tex]

Among the examples:

[tex](-2, 5(-2) + 4) = (-2,-6)[/tex]

[tex](-1, 5(-1) + 4) = (-1,-1)[/tex]

[tex](0, 5(0) + 4) = (0,4)[/tex]

[tex](1, 5(1) + 4) = (1,9)[/tex]

[tex](2, 5(2) + 4) = (2,14)[/tex]

A similar problem is given at https://brainly.com/question/22566209

Answer:

-4.1

Step-by-step explanation:

Answer:

-17 - 13.9 = -30.9

Step-by-step explanation:

when subtracting negative and positive numbers you get a negative:

- -  +  =  -

Answer:

x = -9

Step-by-step explanation:

First, subtract 3 from both sides of the equation and distribute the 3 to the x and -2.

3x - 6 - 2x = -15

Now, add the 6 to both sides of the equation and combine 3x and -2x.

x = -9

The value of x is -9.

Answer:

Distribute the 8 to k+4 then isolate k to one side and the normal numbers to the other, then simplify. I don't believe in giving you the answer, so I tell you how to go through it.

Step-by-step explanation:

Answer:

It is a function because, the domain doesn't repeat.

Step-by-step explanation:

answer:

x^7 over x^4

step-by-step explanation:

hope this helps <3

Answer:

x^7 over x^4

Step-by-step explanation:

Happy to help

Answer:

15

Step-by-step explanation:

little bear consumes 1/10 jar/min

in 6 minutes , little bear would consume 6 min * 1/10 jar/min = 6/10 jar = 0.6 jar

this means , that in those same 6 minutes papa bear needs to have eaten the remaining 0.4 jar   also it takes 6 min/0.4 jar = 6*10/4 min/jar = 15 min/jar  

The time taken for Papa Bear to eat the jar of honey alone is 15 minutes.

Based on the information given, the little bear will use 1/10 minutes.

In 6 minutes, the little bear will have eaten 0.6 jars

Therefore, the time taken for the papa bear will be:

= 6 minutes / (1 - 0.6)

= 6/0.4

= 15 minutes

Therefore, the correct option is 15 minutes per jar.

Read related link on:

https://brainly.com/question/18589721

Answer:

42.80

Step-by-step explanation:

5 or up you round up. 4 or down, you round down. So since 6 is bigger than 5, you round up.

Answer:

Step-by-step explanation:

|<------------------- 32 units ---------------->|

K-----------------------L-------------------------M

           3x + 6                    11

KL + LM = KM

3x + 6 + 11 = 32

3x = 32 - 11 - 6

x = 15 / 3

x = 5 units

Answer:

Step-by-step explanation:

Given the expression for the equation representing the prediction of number of trucks as;

2/7 = t/54-t where t is the number of trucks

To get the number of trucks t, we will have to evaluate the expression and solve for t as shown;

Given 2/7 = t/54-t

Cross multiply

2(54-t) = 7t

Open the parenthesis

2(54)-2t = 7t

108-2t = 7t

7t+2t = 108

9t = 108

Divide both sides by 9

9t/9 = 108/9

t = 21

Hence the engineers should have counted 21trucks

Answer:

21

Step-by-step explanation:

bc yes

Answer: 19

Step-by-step explanation:

If 10 plus 10 is 20, 10 plus 9 is 19

Answer:

The perimeter of a triangle is the sum of all its three sides.

So,

0.75+0.75+0.75 = 2.25inches

Answer:

correct answer is B

Step-by-step explanation:

hi