Jennifer says the quadrilaterals below must be congruent because their angles are congruent. Is she correct?

Step-by-step explanation:

[tex] f(x) \: = \: \frac{4}{5} - \frac{5}{x + 1} [/tex]

[tex]f(x) \: \: = \: \: \frac{(4)(x + 1) - 5(5)}{5x + 5} [/tex]

[tex]f(x) \: \: = \: \: \frac{4x + 4 - 25}{5x + 5} [/tex]

[tex]f(x) \: \: = \: \: \frac{4x - 21}{5x + 5} [/tex]

f(x) = g(x)

[tex] \frac{4x - 21}{5x + 5} = \frac{2}{5x + 5} [/tex]

4x - 21 = 2

x = (21 + 2)/4

x = 5.75

Answer:

678

678 is even, so it's divisible by 2

6+7+8 = 21, which is divisible by 3, so 678 is divisible by 3

Since 678 is divisible by both 2 and 3, it has to be divisible by 6

Step-by-step explanation:

Answer:

12b+6e+9

Step-by-step explanation:

You multiply 3 with every number inside the parentheses.

(3x4b)=12b

(3x2e)=6e

(3x3)=9

Answer: 1

[tex](\frac{x^{a+b} }{x^{c} }) ^{a-b}.(\frac{x^{b+c} }{x^{a} }) ^{b-c} .(\frac{x^{c+a} }{x^{b} })^{c-a}\\\\= \frac{x^{(a+b)(a-b)} }{x^{c(a-b)} }.\frac{x^{(b+c)(b-c)} }{x^{a(b-c)} }.\frac{x^{(c+a)(c-a)} }{x^{b(c-a)} }\\\\=\frac{x^{a^{2}-b^{2} } }{x^{ac-bc} }.\frac{x^{b^{2}-c^{2} } }{x^{ab-ac} }.\frac{x^{c^{2}-a^{2} } }{x^{bc-ab} } \\\\=\frac{x^{a^{2}-b^{2}+b^{2}-c^{2}+c^{2}-a^{2} } }{x^{ac-bc+ab-ac+bc-ab} }\\\\=\frac{x^{0} }{x^{0} }=1[/tex]

Step-by-step explanation:

I believe the answer is: The tax deferred nature.

Investment is considered to has tax deferred nature if the tax payment for the investment can be made years later after its due. This favoured as a retirement plan because it make the investors have more money to spend during the productive years prior to retirement.

Answer:

∠3, it is quite clear

Step-by-step explanation:

Answer:

$190.65 for 31 hours

Step-by-step explanation:

P= ha

123=20a

123/20=a

6.15=a

P=6.15h

P= 6.15(31)

p=190.65

Answer:

{ 4i, - 4i }

Step-by-step explanation:

Given

3x² + 48 = 0 ( subtract 48 from both sides )

3x² = - 48 ( divide both sides by 3 )

x² = - 16 ( take the square root of both sides )

x = ± [tex]\sqrt{-16}[/tex] = ± 4i

solution set is { - 4i, 4i }

Answer:c

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

[tex]m=-3[/tex]

The slope is negative.

General Formulas and Concepts:

Step-by-step explanation:

Step 1: Define

Point (-5, 19)

Point (-1, 7)

Step 2: Find slope m

Answer:

-1

Step-by-step explanation:

If u add 3 whole numbers to a negative number 4 then it'll equal -1. Think of it like 4-3 but add the negative sign at the begining

Answer:

-1

Step-by-step explanation:

I hope this helps!

Answer:

-20

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

To find the area of a circle, take its radius (3) and square it. In this case, 3 times 3 = 9. Then, you multiply the answer by pi, which rounds to 3.14, but is more like 3.14159265......etc, etc. There is a rhyme for that: May I have a large container of coffee beans? Where the length of each word is a number of pi. Anyway, most people would write 9pi, but this is asking for the exact answer, so you can do 3.14 times 9, which equals roughly 28.27. Hope this helped!        

Answer:

The easier way to solve this is to find the two points in the coordinate axis, and just draw a line that passes through the two points.

But let's be more complete:

Let's find the equations for each line:

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

1) Here the points are (2,2) and (4,5)

then the slope is:

a = (5 - 2)/(4 - 2) = 3/2

y = (3/2)*x + b

And to find the value of b, we just replace the values of one of the points in the equation, in this case i will use (2, 2)

2 = (3/2)*2 + b

2 = 3 + b

2 - 3 = b

-1 = b

y = (3/2)*x - 1

2) Here the points are (0,1/2) and (2,3/2)

then the slope is:

a = (3/2 - 1/2)/(2 - 0) = 1/2

y = (1/2)*x + b

And to find the value of b, we just replace the values of one of the points in the equation, in this case i will use (0, 1/2)

1/2 = (1/2)*0 + b

1/2 = b

y = (1/2)*x + 1/2

3) Here the points are (-1,2) and (5,0)

then the slope is:

a = (0 - 2)/(5 + 1) = -1/3

y = (-1/3)*x + b

And to find the value of b, we just replace the values of one of the points in the equation, in this case i will use (-1, 2)

2 = (-1/3)*-1 + b

2 = 1/3 + b

2 - 1/3 = b

5/3 = b

y = (-1/3)*x + 5/3

4) Here the points are (-5,-3) and (-3,5)

then the slope is:

a = (5 + 3)/(-3 + 5) = -4

y = -4*x + b

And to find the value of b, we just replace the values of one of the points in the equation, in this case i will use (-3, 5)

5 = -4*-3 + b

5 = 12 + b

5 - 12 = b

-7 = b

y = -4*x - 7

Now that we have all the equations, we can find the graphs.

where the colors are:

(4) green

(3) orange

(2) Blue

(1) Gray.

Answer:

33 texts

Step-by-step explanation:

34.99+0.15(t)=40

lets say t is number of texts

subtract 34.99 from both sides

0.15(t)=$5.01

divide 5.01 by .15

33.4

but you cant send .4 of a text

so 33 texts

Answer:

1.94 ounces are in each bag.

Step-by-step explanation:

The total ounces of nuts in the bag is calculated as:

23 ounces of walnuts + 11.2 ounces of almonds + 14.3 ounces of cashews = 48.5 ounces.

From the question we are told that these amounts make 25 bags.

The number of ounces that are in each bag is calculated as:

25 bags = 48.5 ounces

1 bag = x ounces

Cross Multiply

25 bags × x ounces = 1 bag × 48.5 ounces

x ounces = 1 bag × 48.5 ounces/25 bags

x ounces = 1.94 ounces

Therefore, there are 1.94 ounces in each bag

Answer:

6

Step-by-step explanation:

122-8 shipping =114 /19=6

Answer:

1 is 25% of 4, so 75% decrease

Step-by-step explanation:

Answer:

30 of them were students

17 were adults

Step-by-step explanation:

bunny and rabbit problems

if they were all adults

7 x 47 = 329

329 - 269 = 60

60/ (7-5) = 30

30 of them were students

17 were adults

Answer:

Step-by-step explanation:

Rob needs 43.2 feet of border to place around the ceiling and Rob will have 6.8 feet of border left after placing it around the ceiling.

What is distance?

Distance is the measure of how far apart two objects or locations are from each other. It is usually measured in units such as meters, kilometers, miles, or feet. Distance is a scalar quantity, meaning it has only magnitude and no direction.

The perimeter of the ceiling is equal to the total length of border that Rob will need. The perimeter of a square is given by the formula P = 4s, where s is the length of one side of the square.

In this case, the length of one side of the square ceiling is 10.8 feet, so the perimeter is:

P = 4s = 4(10.8) = 43.2 feet

Therefore, Rob needs 43.2 feet of border to place around the ceiling.

Since he has purchased 50 feet of border, he will have:

50 - 43.2 = 6.8 feet

Rob will have 6.8 feet of border left after placing it around the ceiling.

To learn more about distance from the given link:

https://brainly.com/question/30923151

#SPJ1

Answer:

B.) Carrier B

Step-by-step explanation:

The unit rate would be [tex]c = 12t[/tex]. Since the cost for 2 minutes is $0.24 it is easy to figure out that for 1 minute it would be $0.12.

Might be a bit confusing, but hope it helps.

its 2

Hope this helps! <3

Answer:

[tex] \sf p = \dfrac{i}{rt} [/tex]

Step-by-step explanation:

Solve for p:

[tex] \longrightarrow [/tex] i = prt

i = prt is equivalent to prt = i:

[tex] \longrightarrow [/tex] prt = i

Divide both sides by rt:

[tex] \longrightarrow [/tex] [tex] \sf \dfrac{prt}{rt} = \dfrac{i}{rt} [/tex]

[tex] \sf \dfrac{prt}{rt} = p: [/tex]

[tex] \longrightarrow [/tex] [tex] \sf p = \dfrac{i}{rt} [/tex]

Answer:

per minute: 0.15 km

in 10 minutes: 1.5

Step-by-step explanation:

there are 60 minutes in an hour. we need to find the constant rate of change (is that the name sorry). so 9/60 is 0.15. now we know she goes 0.15 km per minute. then do 10 times 0.15 since 10 minutes. you get 1.5. now we know.

Answer:

w=35, L = 17

Step-by-step explanation:

the perimeter is all sides added together to total 104. so,

2L + 2W= 104

the width is one more than twice it's length, so W = 2L + 1

plug that into first equation.

2L + 2(2L+1)=104

distribute:. 2L + 4L + 2= 104 and continue to solve for L

6L + 2= 104 subtract 2 from both sides.

6L = 102, divide both sides by 6

L = 17. so the length is 17 ft. now use that number to put it in our equation for width, W= 2L + 1

W= 2(17)+1

W = 35

Answer:

Y=3x+12 (its the first option)

Step-by-step explanation:

I did the assignment.

The equation of the line parallel to (3x - y = 7) passes through the point (-5, -3) is y = 3x + 2 and this can be determined by using the one-point slope form.

Given :

The line passes through the point (-5, -3) and is parallel to the line (y - 3x = -7).

The following steps can be used in order to determine the equation of a line that passes through the point (-5, -3) and is parallel to the line (y - 3x = -7):

Step 1 - The one-point form of a line is used in order to determine the equation of a line that passes through the point (-5, -3) and is parallel to the line (y - 3x = -7).

Step 2 - The one-point form is given below:

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

Step 3 - According to the given data, the line is parallel to the line (y = 3x - 7). So, the slope of the line is 3.

Step 4 - Now, substitute the values of slope and the point in the above expression.

[tex](y+3) = 3 (x+5)[/tex]

y = 3x + 2

For more information, refer to the link given below:

https://brainly.com/question/19300779

Answer:

22km= 2 hours and 45 mins

To find speed: Distance/Time

22/2.75 = 8

Your answer 8km/h

Step-by-step explanation: When finding speed, the formula is always distance divided by time. 45 minutes of 60 minutes is 3/4 of an hour, and 3/4 is 0.75 is decimal. So you add the 2 + .75, and you'll get 2.75. After you convert the time, you begin dividing and you'll get your answer!

Answer:

1. right triangle - a triangle with one angle that measures 90 degrees

2.radius- a line segment from the center of a circle to any point on the circle

3. ray- a part of a line that has 1 endpoint that goes in one direction forever

4. rotational symmetry- a property that allows a figure to be rotated less than 360 degrees and still look the same

5. regular polygon- a polygon whose sides are all the same lengths and whose angles are the same measure

6. reflection- a transformation in which a figure is flipped across a line to give a mirror image of the original figure

Step-by-step explanation: