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Taking into account the definition of corresponding angles and Corresponding Angles Theorem, if the corresponding angles are congruent, then two lines cut it by a transversal are parallel.

First of all, remember that a transverse line is a line that crosses or passes through two other lines. Sometimes the other two lines are parallel and the transversal passes through both lines at the same angle. However, the other two lines do not have to be parallel for a transversal to cross them.

Corresponding angles are angles formed when a transverse line crosses two straight lines. These angles are formed at equivalent corners or at corners corresponding to the transversal when two lines are intersected by a third line.

In other words, if a transversal line intersects two parallel lines, the corresponding angles are those that are on the same side of the parallels and on the same side of the transversal.

The Corresponding Angles Theorem states that if two parallel lines are cut by a transversal, then the corresponding pairs of angles are congruent.

Remember that if two angles are congruent, then they have the same measure.

The opposite of this theorem is also true:  If two lines are cut by a transversal and the corresponding angles are congruent, the lines are parallel.

In summary, if the corresponding angles are congruent, then two lines cut it by a transversal are parallel.

Learn more about corresponding angles theorem:

184 people

groups of 13

How many vans needed to take the people to the hotel.

[tex] \frac{184}{13} [/tex]

[tex] = 14.1538461538[/tex]

[tex]nearest \: whole \: number = 14[/tex]

therefore, they'll need 14 vans to take the people to the hotel.

answer= option B

Answer:

-21

Step-by-step explanation:

Answer:

On which body part a temporal lobe is placed?

answer-

behind the ears

The square root of 81 is?

answer-

9

Answer:

254 in the first blank

Step-by-step explanation:

There are actually 254 counties, The amount of error in Pedro's estimate is 4 and percent error: 1.574%

Percentage, a relative value indicating hundredth parts of any quantity. One percent (symbolized 1%) is a hundredth part.

Given that

There are 254 counties in the state of Texas. Pedro says that there are about 250 counties in the state.

There are actually 254 counties.

The amount of error in Pedro's estimate is 4.

Now we need to find percent error in Pedro's estimate.

4/254×100

=0.0157×100

=1.574%

Hence There are actually 254 counties, The amount of error in Pedro's estimate is 4 and percent error: 1.574%

To learn more on Percentage click:

#SPJ5

Answer:

It is 0.6 miles

Step-by-step explanation:

Answer:

-2x^2-2x-2

Step-by-step explanation:

C) -2x(x+2)-(3-2x)(x+2)

-2x^2-3x+2x-x-2

-2x^2-2x-2

Answer:

−3x−6

Step-by-step explanation:

-2x(x+2)-(3-2x)(x+2)

= -2[tex]x^{2}[/tex]-4x-3(x+2)+2x(x+2)

= -2[tex]x^{2}[/tex]-4x-3x-6+2[tex]x^{2}[/tex]+4x

= -3x-6

Hopefully this helps!!

Answer:

2mi/min

Step-by-step explanation:

Speed=Distance/Time

=160mi/80min

=2mi/min

Answer:

you multiple two numbers and you devide both sides you get the answer

Answer:

Tom is 43yo and Tim is 36

Tim will be 41 in 5 years.

Step-by-step explanation:

Answer:

See answer below.

Step-by-step explanation:

y - 7 = -1/4(x - 4)

y - 7 = -1/4(x - 4)   in point slope form  

In slope intercept form: y - 7 = -1/4x + 1

                                       y = -1/4 x + 8

Answer:

Step-by-step explanation:

A graphing calculator shows you the maximum height of 11 feet is reached after 0.75 seconds.

__

A quadratic of the form ax² +bx +c has its vertex at x=-b/(2a). Here that means the time to the maximum height is ...

  t = -24/(2(-16)) = 24/32 = 3/4 . . . seconds to maximum height

The height at that time is ...

  s(3/4) = (-16(3/4) +24)(3/4) +2 = (-12 +24)(3/4) +2 = 9 +2

  s(3/4) = 11 . . . . feet at maximum height

Answer:

I think it's x=3 I think that's it

I think the answer is 3 because 4÷2=2. Hence, 6÷2=3

Answer:

1.5 OR 3/2

Step-by-step explanation:

Slope (m) = ΔY/ΔX= 3/2=1.5

θ = arctan(ΔY/Δx)= 56.30993247402°

ΔX = 3 – 1 = 2

ΔY = 0 – -3 = 3

Distance (d) = √ΔX2 + ΔY2 = √13 = 3.605551275464

Equation of the line:

y = 1.5x – 4.5

or

y=3/2x-9/2

Thus, 3/2

Answer:

Step-by-step explanation:

Use the coordinates of two points on the graph:

Find the slope using slope formula:

Answer:

y= -1, x=3

Step-by-step explanation:

2x+y=5

x-y =4

x= 4+y

Sub 1 into 3

2( 4+y ) 4y =5

8+2y +y =5

8+3y =5

3y =5-8

3y =-3

y=-3÷3

y = -1 #

Sub y = -1 into 3 equation

x=4+(-1)

x=3 #

Answer:

(a) 1.0792 x 10³

(b) 3.769 x 10³

(c) 9.985 x 10³

This should be the answer to the problems, the rounding part got me confused for a second.

Significant digits are numbers after the decimal that aren't 0. So the 1.0792, the 0 isn't a significant digit.

Answer:

∠ 1 = ∠ 3 = 52°

Step-by-step explanation:

∠ 3 and ∠ 6 are same- side interior angles and sum to 180° , so

∠ 3 + ∠ 6 = 180° , that is

∠ 3 + 128° = 180° ( subtract 128° from both sides )

∠ 3 = 52°

∠ 1 and ∠ 3 are vertically opposite angles and are congruent , then

∠ 1 = 52°

Answer:

it's 3 cause if u do 1 2 3 there are 3 hearts and they are broke up in half so 6

Step-by-step explanation:

First, this is how I read it.

[tex]\log(x^{125})=-3[/tex]

Next, this is how logarithms work:

[tex]b^y=x\implies \log_b(x)=y[/tex]

In your equation, we have all 3 numbers:

With that information, you can convert the logarithm into "normal" form:

[tex]10^{-3}=x^{123}[/tex]

The negative power rule [tex]x^{-a}=\frac{1}{x^a}[/tex] is also useful here.

Now, just solve for x:

[tex]x^{125}=\frac{1}{10^3}\\x^{125}=\frac{1}{1000}\\x=\sqrt[125]{\frac{1}{1000}}\\x=\frac{1}{\sqrt[125]{1000} }[/tex]

That's about as simplified as it gets, unless you want this:

[tex]x=\frac{1}{10^{\frac{3}{125}}}[/tex]

Thats 10^(3/125), numbers got very small.

I'm still not confident I understood the problem correctly, so let me know if I need to fix anything.

Answer:

1110

Step-by-step explanation:

14 in binary is 1110

Answer:

1

Step-by-step explanation:

Y=2x+3

Y=2×(-1)+3

Y=1

Answer:

f(x) = [tex]8^{x}[/tex]

Step-by-step explanation:

[tex]\sqrt[3]{512} = 8\\\sqrt[4]{4096} = 8\\\sqrt[5]{32768} = 8[/tex]

which means 8 to the power of 3 will give you 512, to the fourth power will give you 4096.

So the exponential function is f(x) = [tex]8^{x}[/tex]

Answer:

Step-by-step explanation:

Let the sum allotted is x and 18750 - x.

Interest rate is 5%.

The interest amount is:

We have equation below to compare final amounts:

Correct choice is C

The area to which Zippy's Pizza makes delivery is 16·π square miles

The responses are;

Reasons:

The radius of the area that Zippy delivers pizza = 4 miles

Direction in which Empire Street runs = East to west

Direction of the route 26 route = North to south

Location of Zippy's Pizza parlor = 3 miles south of Empire street

-First Part:

The equation that represents the radius of delivery for Zippy's Pizza is given by the equation of a circle as follows;

(x - h)²+ (y - k) = r²

Where:

(h, k) = The center of the circle which is the location of Zippy's Pizza

r = The radius of the circle

Zippy's Pizza is at the center of the circular area with coordinates (h, k) = (0, 0)

r = 4 miles

-Which gives;

(x - 0)² + (y - 0)² = 4²

The equation that represent the radius is; x² + y² = 4²

-Second part:

The locations of addresses on Empire street, relative to Zippy's Pizza are given by the equation;

y = 3

Therefore, we have;

The furthest distances east and west on Empire street that can receive Zippy's Pizza delivery are given by the equation;

x² + 3² = 4²

x = √(4² - 3²) = ±√5

The furthest distances that can receive Zippy's Pizza delivery are ±√5 miles (east and west) from route 26

-Third Part:

Location of Little Cubs = 2 miles west and 4 miles north of Zippy's

The distance from Little Cubs Field to Zippy's = √((2² + 4²) = 2·√5

The distance from Little Cubs Field to Zippy's = 2·√5 miles

-Fourth Part:

The distance between Little Cubs Field from Zippy's radius of delivery, d, is found as follows;

d = 2·√5 - 4 = 2·(√5 - 2)

Therefore, d = 2·(√5 - 2) miles

Learn more here:

https://brainly.com/question/23005973

Step-by-step explanation:

1.A

2.A

3.A

4.C

5.A

6.A

7.C

8.D

9.A

10.C

11.C

12.C

13.D

14.B

15.B

16.A

17.C

18.A

19.B

20.C

21.B

22.D

23-27 Write in

Answer:

[tex]y=\frac{1}{10}x +9[/tex]

Step-by-step explanation:

y = mx + b

where m is slope (1/10)

c is y intercept (9)

Answer:

C

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k)are the coordinates of the centre and r is the radius

Given

2x² + 2y² - 4x + 16y = 128 ( divide through by 2 )

x² + y² - 2x + 8y = 64 ( collect x and y terms together )

x² - 2x + y² + 8y = 64

Using the method of completing the square

add ( half the coefficient of the x/ y terms )² to both sides

x² + 2(- 1)x + 1 + y² + 2(4)y + 16 = 64 + 1 + 16

(x - 1)² + (y + 4)² = 81 ← in standard form

with centre = (h, k ) = (1, - 4 ) → C

Answer:

1) 7.5 inches, 2) 12.5 inches, 3) 6.25 inches

Step-by-step explanation:

In the problem statement, it is stated that the original dimensions of the photo are 5 inches by 8 inches. The 3 parts of the problem are asking what the respective width of the new photo would be given a different length measurement.

Using the ratio (5:8) you can set up an equation with x representing the missing measurement, and cross multiply to calculate the new width.

1) If the length is 12 inches, the width is 7.5 inches

[tex]\frac{5}{8} = \frac{x}{12}[/tex]

[tex]60=8x[/tex]

[tex]\frac{60}{8} =x[/tex]

[tex]7.5 = x[/tex]

2) If the length is 20 inches, the width is 12.5 inches

[tex]\frac{5}{8} = \frac{x}{20}[/tex]

[tex]100=8x[/tex]

[tex]\frac{100}{8} =x[/tex]

[tex]12.5 = x[/tex]

3) If the length is 10 inches, the width is 6.25 inches

[tex]\frac{5}{8} = \frac{x}{10}[/tex]

[tex]50=8x[/tex]

[tex]\frac{50}{8} =x[/tex]

[tex]6.25 = x[/tex]

Answer:

2x + 0.9 = 21.2

Step-by-step explanation:

Let x be the number

The number was doubled so it should be 2x, then add 0.9 equals to 21.2

Answer:  2x + 0.9 = 21.2

and x = 10.15

Step-by-step explanation: