Read the proof. Given: AB ∥ DE Prove: △ACB ~ △DCE Triangle A B C is shown. Line D E is drawn inside of the triangle and is parallel to side A B. The line forms triangle D C E. We are given AB ∥ DE. Because the lines are parallel and segment CB crosses both lines, we can consider segment CB a transversal of the parallel lines. Angles CED and CBA are corresponding angles of transversal CB and are therefore congruent, so ∠CED ≅ ∠CBA. We can state ∠C ≅ ∠C using the reflexive property. Therefore, △ACB ~ △DCE by the

Answer:

20 20202020020200220020200

Step-by-step explanation:

Answer:

1) Neither

2) Exponential

3) Exponential

4) Linear

Step-by-step explanation:

1) x-values    [tex]{}[/tex]   y-values

0              [tex]{}[/tex]            0

1               [tex]{}[/tex]             1

2               [tex]{}[/tex]            4

3                [tex]{}[/tex]           9

4               [tex]{}[/tex]            16

Therefore, we have, the relationship of the function given as_f(x) = x² Which is neither a linear function nor an exponential function

2) x-values    [tex]{}[/tex]   y-values

0              [tex]{}[/tex]            1/3

1               [tex]{}[/tex]             1

2               [tex]{}[/tex]            3

3                [tex]{}[/tex]           9

4               [tex]{}[/tex]            27

The relationship between 'x', and 'y' is given as follows;

f(x) = 3⁽ˣ⁻¹⁾

Therefore, the relationship between 'x', and 'y', is an exponential relationship, and the function is an exponential function

3) x-values    [tex]{}[/tex]   y-values

0              [tex]{}[/tex]             5

1               [tex]{}[/tex]             5/2

2               [tex]{}[/tex]            5/4

3                [tex]{}[/tex]           5/8

4               [tex]{}[/tex]            5/16

The relationship between 'x', and 'y' is given as follows;

f(x) = 5×(1/2)ˣ

Therefore, the relationship between 'x', and 'y', is an exponential relationship, and the function is an exponential function

4) x-values    [tex]{}[/tex]   y-values

0              [tex]{}[/tex]             4.5

1               [tex]{}[/tex]             4

2               [tex]{}[/tex]            3.5

3                [tex]{}[/tex]           3

4               [tex]{}[/tex]            2.5

The given data for the y-values has a constant first common difference of 4 - 4.5 = -0.5, therefore, the relationship between the 'x', and 'y' values is a linear relationship.

Answer:

Step-by-step explanation:

Linear

Answer:

1836 bacteria

Step-by-step explanation:

Now the data is a progression; 38,000, 33,820, 30,100 .........

We can find out what type of progression it is, in this case, we can see that it is a geometric progression because;

r= 33,820/38,000 = 30,100/33,820 = 0.89

So, for a geometric progression;

Un = ar^n-1

Where;

a = 38,000

r = 0.89

n = 27 days

Un = ???

Un = 38,000 * (0.89)^27 - 1

Un = 1836 bacteria

Answer:

50.2 inches

Step-by-step explanation:

The wheel of a tricycle is circular in shape.

The circumference of a circle = 2πr

For Monice

Monica's bicycle wheel has a radius of 16 inches.

The circumference of her bicycle wheel = 2 × π × 16

= 100.53096491 inches

Approximately = 100.5 inches

For Kevin

Kevin's tricycle wheel has a radius of 8 inches.

The circumference of his wheel =

2 × π × 8

= 50.265482457 inches

Approximately = 50.3 inches

How many times larger is the circumference of Monica's wheel that the circumference of Kevin's tricycle wheel?

This is calculated as:

Circumference of Monica's wheel - Circumference of Kevin's wheel

= 100.5 inches - 50.3 inches

= 50.2 inches

Hence: Monica's wheel is 50.2 inches larger than Kevin's wheel

Answer: All I know is I got a 1/2 points on my open ended question. Monica’s bicycle wheel is 2 times larger than Kevin’s.

Step-by-step explanation: I think you add or multiply or divide. I gotta figure it out myself.

Answer:

36

Step-by-step explanation:

Answer:

opposite angles are congruent

Step-by-step explanation:

angle x and angle y are opposite angles

Step-by-step explanation:

Given

[tex] p \: = \frac{1}{3} \\ 12p \: = 12 \times \frac{1}{3} \\ = 4[/tex]

Hope it will help :)

Answer:

4

Step-by-step explanation:

as p = 1/3

12p = 12×*(1/3) [because p =1/3]

= 12/3

= 4

Answer:

B

Step-by-step explanation:

when dividing powers, you just subtract them so in this case subtract 6-4 which will be 2. so your answer is 11².

Answer:

The flagpole is 60'(60 inches) tall

Step-by-step explanation:

A flagpole is standing in front of City Hall. Percy, who is standing near the flagpole is 5' tall and casts a shadow 3' long. If the flagpole casts a shadow 36' long, how tall is the flagpole

The formula is given as:

Height of percy/ Shadow of percy = Height of flagpole/Shadow of flagpole

Height of percy = 5 inches

Shadow of percy = 3 inches

Height of flagpole = ??

Shadow of flagpole =36 inches

= 5/3 = x/36

Cross Multiply

3 × x = 36 × 5

3x = 36 × 5

x = 36 × 5/3

x = 60 inches

Therefore, the flagpole is 60'(60 inches) tall.

Answer:

no entiendo

Step-by-step explanation:

Answer:

x= 10

Step-by-step explanation:

8x+30=110

8x+30-30=110-30

8x=80

8x/8=80/8

x=10

Answer:

x=10

Step-by-step explanation:

Vertical angles are always congruent, those to angles are vertical angles so they are congruent.

Set them equal to each other:

110=8x+30                 subtract 30 from both sides

80=8x                        divide by 8 on both sides

x=10

Hope this helps :)

Answer:

Total ticket expenses = $24

Step-by-step explanation:

Given:

Each way cost = $4

Total ways = 3 x 2 = 6 times

Find:

Total ticket expenses

Computation:

Total ticket expenses = Each way cost x Total ways

Total ticket expenses = 4 x 6

Total ticket expenses = $24

Answer: the value is 0

Step-by-step explanation:

we simply substitute the letter for the number 3.

10 - 3 - 7

7 - 7

0

Answer:

120 square units.

Step-by-step explanation:

Area= Base x Height.

So given that, in this equation...

Area=12x10.

12x10=120.

10,20,30,40,50,60,70,80,90,100,110,120

| 1 | 2 | 3 | 4 | 5  | 6  | 7  | 8 | 9 | 10 | 11 | 12 |

12,24,36,48,60,72,84,96100,120.

Answer: 880

Step-by-step explanation: 111 to the nearest hundred is 110 x 8= 880

Answer:

commision-an instruction, command, or duty given to a person/people

brainliest please?

Step-by-step explanation:

Answer:

[tex]x_1=5,\\x_2=2[/tex]

Step-by-step explanation:

Problem 1:

The angles [tex]\angle 3[/tex] and [tex]\angle 7[/tex] are corresponding, and thus are equal to each other. We can then set up the following equation:

[tex]5x+2=27,\\5x=25,\\x=\fbox{$5$}[/tex].

Problem 2:

The angles [tex]\angle 6[/tex] and [tex]\angle 4[/tex] are supplementary, meaning they add up to [tex]180^{\circ}[/tex]. Therefore, we have the following equation:

[tex]18x+144=180,\\18x+36,\\x=\fbox{$2$}[/tex].

Answer:

1st answer is 5°

Step-by-step explanation:

Z3 = Z7

or, 5x + 2 = 27°

or, 5x = 25°

or, x = 5°

:-))

Answer:

The correct corresponding part is;

[tex]\overline {CB}[/tex] ≅ [tex]\overline {CD}[/tex]

Step-by-step explanation:

The information given symbolically in the diagram are;

ΔCAB is congruent to ΔCED (ΔCAB ≅ ΔCED)

Segment [tex]\overline {CA}[/tex] is congruent to [tex]\overline {CE}[/tex] ( [tex]\overline {CA}[/tex] ≅ [tex]\overline {CE}[/tex])

Segment [tex]\overline {CB}[/tex] is congruent to [tex]\overline {CD}[/tex] ( [tex]\overline {CB}[/tex] ≅ [tex]\overline {CD}[/tex])

From which, we have;

∠A ≅ ∠E by Congruent Parts of Congruent Triangles are Congruent (CPCTC)

∠B ≅ ∠D by CPCTC

Segment [tex]\overline {AB}[/tex] is congruent to [tex]\overline {DE}[/tex] ([tex]\overline {AB}[/tex] ≅ [tex]\overline {DE}[/tex]) by CPCTC

Segment [tex]\overline {AE}[/tex] bisects [tex]\overline {BD}[/tex]

Segment [tex]\overline {BD}[/tex] bisects [tex]\overline {AE}[/tex]

Therefore, the correct option is [tex]\overline {CB}[/tex] ≅ [tex]\overline {CD}[/tex]

Answer:

(8b + 12) + (3n+6) + (9b - 4)

= 8b + 12 + 3n + 6 + 9b - 4

= 17b + 3n + 14

Answer:

Price = 15+8t

Step-by-step explanation:

Your new job is at the custom t shop, where t-shirts are printed to order.

For each order, custom t shop charges $8.00 per shirts plus a one time set up fee for $15.00.

Here, $15 remain fix and $8 increases with number of shirts.

Price = 15+8t

Hence, the price of the t-shirts is "15+8t".

Answer:

[tex]\frac{x+3}{x+2}[/tex]

Step-by-step explanation:

[tex]\frac{x^2+10x+21}{x^2+9x+14}[/tex]           Factor the expressions that are not already factored.

=

[tex]\frac{(x+3)(x+7)}{(x+2)(x+7)}[/tex]           Cancel out x+7 in both numerator and denominator.

=

[tex]\frac{x+3}{x+2}[/tex]

Answer:

−2a2b+4ab2+6ab

Step-by-step explanation:

i took the test

Given:

Triangle ABC is right angled at A.

[tex]m\angle B=(5x+7)^\circ[/tex]

[tex]m\angle C=(4x+29)^\circ[/tex]

To find:

The degree measure of each angle in the triangle.

Solution:

According to the given information,

[tex]m\angle A=90^\circ[/tex]

[tex]m\angle B=(5x+7)^\circ[/tex]

[tex]m\angle C=(4x+29)^\circ[/tex]

Now,

[tex]m\angle A+m\angle B+m\angle C=180^\circ[/tex]        (Angle sum property)

[tex]90^\circ+(5x+7)^\circ+(4x+29)^\circ=180^\circ[/tex]

[tex](9x+126)^\circ=180^\circ[/tex]

[tex]9x+126=180[/tex]

[tex]9x=180-126[/tex]

[tex]9x=54[/tex]

Divide both sides by 9.

[tex]x=\dfrac{54}{9}[/tex]

[tex]x=6[/tex]

Now,

[tex]m\angle A=90^\circ[/tex]

[tex]m\angle B=(5(6)+7)^\circ[/tex]

[tex]m\angle B=37^\circ[/tex]

[tex]m\angle C=(4(6)+29)^\circ[/tex]

[tex]m\angle C=53^\circ[/tex]

Therefore, the measures of ∠A, ∠B, ∠C are 90°, 37°, 53° respectively.

Answer:

(6×-5)°× (×+9)°w(4×)°y

Answer:

3b^4−2b^2+8b+6

Answer: 16n

Step-by-step explanation:

4 + 4 + 4 + 4 = 16

=16n

Answer:

The answer is "[tex]\bold{\frac{2 \pi}{3}}[/tex]"

Step-by-step explanation:

Please find the complete question in the attached file.

Using formula:

[tex]\to \bold{\theta = \frac{S}{r}}[/tex]

Where,

[tex]\theta =central \ angle \\\\{S} = arc \ length\\\\{r} = radius \ length[/tex]

[tex]\to \theta = \frac{PQ }{OQ}[/tex]

       [tex]=\frac{6 \pi}{9} \\\\ = \frac{2 \pi}{3}[/tex]

The radian measure of central angle POQ is 3π/4 radians. Option b) is the correct option.

Line segments PO and QO are radii.

We need to find the radian measure of central angle POQ.

[tex]2\pi^c = 360^\circ = \text{Full circumference}[/tex]

The superscript 'c' shows angle measured is in radians.

If the radius of the circle is of r units, then:

[tex]1^c \: \rm covers \: \dfrac{circumference}{2\pi} = \dfrac{2\pi r}{2\pi} = r\\\\or\\\\\theta^c \: covers \:\:\: r \times \theta \: \rm \text{units of arc}[/tex]

We know that

π radians = 180°

Therefore,

180° = π radians

135° = x

180° × x = 135° × π radians

x = 135° × π radians/180

x = 3π/4 radians

Hence, the radian measure of central angle POQ is 3π/4 radians. Option b) is the correct option.

Learn more about angle, arc length relation here:

https://brainly.com/question/15451496

#SPJ5

Answer:

The time it would take 4 workers from the Fast Movers Company and 8 workers from the Careful Movers company to unload 8 trucks is 13 hours and 20 minutes

Step-by-step explanation:

The time it takes 6 workers from the Fast Movers Company to unload 6 trucks = 10 hours

The time it takes 10 workers from the Careful Movers Company to load 2 trucks = 8 hours

Therefore, when 1 worker of the Fast Movers Company is unload 1 truck each of the 6 trucks it takes 10 hours

Which gives the time for 1 worker of the Fast Movers Company is unload 1 truck = 10 hours, which gives;

10 worker hours per truck or 10 worker·h/(truck)

Similarly we have;

The time it takes 10 workers of the Careful Movers Company to load 2/2 = 1 truck = 8/2 = 4 hours

Therefore, the time it would take 1 worker of the Careful Movers Company to load 1 truck = 10 × 4 hours = 40 hours, which gives;

40 worker·h/(truck)

Let "t" represent the time it would take 4 workers from the Fast Movers Company and 8 workers from the Careful Movers Company to unload 8 trucks

We have;

[tex]\dfrac{4 \ workers \times t }{\left (\dfrac{10 \ worker \cdot hour}{truck} \right ) } + \dfrac{8 \ workers \times t }{\left (\dfrac{40 \ worker \cdot hour}{truck} \right ) } = 8 \ trucks[/tex]

Which can be simplified as follows;

[tex]\dfrac{4 \ trucks \times t }{10 \cdot hour} + \dfrac{8 \ trucks \times t }{40 \cdot hour} = t \times \left ( \dfrac{4 \ trucks }{10 \cdot hour} + \dfrac{8 \ trucks }{40 \cdot hour} \right ) = 8 \ trucks[/tex]

[tex]t = \dfrac{8 \ trucks}{\left ( \dfrac{4 \ trucks }{10 \cdot hour} + \dfrac{8 \ trucks }{40 \cdot hour} \right ) } = \dfrac{8 \ trucks}{\left ( \dfrac{3 \ trucks }{5 \ hour} \right ) } = \dfrac{5 \ hour\times 8 \ trucks}{3 \ trucks } \right ) } = \dfrac{40}{3} \ hours[/tex]

t = 40/3 hours =  13 hours and 20 minutes

The time it would take 4 workers from the Fast Movers Company and 8 workers from the Careful Movers company to unload 8 trucks = 13 hours and 20 minutes

Answer:

y = (2/5)x -1

Step-by-step explanation:

Answer:y is (2/5) x minus 1

Step-by-step explanation: