Given the information in the diagram, which theorem best
justifies why lines e and f must be parallel?
alternate interior angles theorem
same side interior angles theorem
converse of the alternate interior angles theorem
converse of the same side interior angles theorem

Answers

Answer 1

Answer:

its D

Step-by-step explanation:

Just did the test. Goodluck

Answer 2

Answer:

d

Step-by-step explanation:


Related Questions

Shelley is building a brick wall that needs to be 1.57 meters tall. So far, the wall is 1.54
meters tall, How much taller does the brick wall need to be?
meters​

Answers

Answer:

0.03 m

Step-by-step explanation:

End height:  1.57 m

Current height:  1.54 m

Difference:  0.03 m

Wall must be 0.03 m taller than it is now.

A net has a rectangle at the center and 4 triangles on the sides. The rectangle has a length of 6 meters and height of 2 meters. 2 triangles have a base of 6 meters and height of 8.8 meters. 2 triangles have a base of 2 meters and height of 9 meters. What is the surface area of the rectangular pyramid? m2

Answers

Answer:

Area of the rectangular pyramid is 82.8m²

Step-by-step explanation:

Given

Number of rectangle = 1

Number of triangles = 4

Dimension of Rectangle = Length = 6 metres; Height = 2 metres

Dimension of 2 triangles: Base = 6 metres and Height = 8.8 metres

Dimension of other 2 triangles: Base = 2 metres and Height = 9 metres

Required

Area of the Rectangular Pyramid

To calculate the area of the rectangular pyramid; we simply calculate the area of each of the shapes above;

Calculating the area of the rectangle;

Area = Length * Height

Area = 6m * 2m

Area = 12m²

Calculating the area of the first two triangles;

Base = 6 metres and Height = 8.8 metres

Area of a triangle = 0.5 * Base * Height

Area = 0.5 * 6m * 8.8m

Area = 26.4m²

Area of two triangles = 2 * 26.4m²

Area of two triangles = 52.8m²

Calculating the area of the other two triangles;

Base = 2 metres and Height = 9 metres

Area of a triangle = 0.5 * Base * Height

Area = 0.5 * 2m * 9m

Area = 9m²

Area of two triangles = 2 * 9m²

Area of two triangles = 18m²

The area of the pyramid is the summation of the above calculations;

Area of Rectangular Pyramid = 12m² +52.8m² + 18m²

Area = 82.8m²

Hence, the area of the rectangular pyramid is 82.8m²

Answer:

82.8

Step-by-step explanation:

I just took the test

Have a good day :)

what is the y-intercept of f(x)= -x^2÷1 +4​

Answers

Answer:

(0, 4)

Step-by-step explanation:

Just set x = 0 and find y = f(x):

f(0) = [-(0)^2]÷1 +4  =  0÷1 + 4 = 4

The y-intercept is (0, 4)

PLEASE HELP ME !!!!!!!!

Answers

Answer:

54

Step-by-step explanation:

90-36=54

Answer:

Angle X is 90-36 = 54 degrees

Choose the equation of the horizontal line that passes through the point (2, 4). (5 points) y = 2 x = 2 y = 4 x = 4

Answers

Answer:

y=4

Step-by-step explanation:

A horizontal line has constant y values so it is of the form

y=

The point is (2,4) so the y value is 4

y=4

which inequality is represented by this graph

Answers

Answer:

im pretty sure the second option is correct

Step-by-step explanation:

the open circle means the is greater than or equal to

since the arrow is pointing to the right that means that x is greater than

Please answer the attachment below and say which number goes in the first or second, etc.

Answers

Answer:

use calculator

Step-by-step explanation:

1/500=0.002

3 2/25=308%

2.6=2 6/10

0.25%=0.0025

Answer:

They are actually in the correct order left to right !

Step-by-step explanation:

1/500 is 0.002 because 0.002 is pronounced "two thousandths" and 0.001 is pronounced "one thousandth", but it's written as 0.001 OR the fraction 1/1000! Using this you can infer that "two thousandths" is twice as large as 1/1000.

1/25 is 0.04, so 2/25 is 0.08 add the 3 and get 3.08. When displayed percentages in decimal form 100% = 1, so 300% = 3, therefore 308% = 3.08.

In the number 2.6 the decimal .6 is in the TENTHS place and so you can formally say this as "two and six tenths", which how the fraction 2 6/10 is also said!

As stated above when displaying percentages in decimal form:

100% = 1,

25% = 0.25,

1% = 0.01,

0.25% = 0.0025!

please need help I will be MARKING as BRIANILIST. thank you so much. ​​

Answers

Answer:

A

Step-by-step explanation:

15:60

Simplify the ratio.

15/15:60/15

1:4

Answer:

1:4

Step-by-step explanation:

The answer is 1:4 because 15:60 simplified is 1:4

The concentration determined for an unknown sample of hydrochloric acid by a student is 0.1354 M.According to the instructor’s information, the true molarity (M) of this solution is 0.1364 M. What is the percent error in this experiment? Round your answer to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

S,wow,w,

15. Select the graph which correctly displays the function f(x) = |x + 2|– 3.

Answers

Answer:

Step-by-step explanation:

f(0)=2-3=-1 so the point (0,-1) must be on the graph

f(-5)=|-5+2|-3=3-3=0 so the point (-5,0) must be on the graph

Then, the correct answer is the second graph

The graph that correctly displays the function f(x) = |x + 2|– 3 is the second graph.

How do we graph a function?

We graph a function by calculating some values of f(x), plotting the points calculated as (x, f(x)), recognizing the trend, and completing the graph.

How do we solve the given question?

To solve the given question, we will plot a graph of the function

f(x) = |x + 2|– 3 and then compare the graphs with it.

Our function f(x) = |x + 2|– 3 can be written as the combination of two functions g(x) = |x+2| and h(x) = -3

Since g(x) is a modulus function, it will be V-shaped. To recognize its start point and the trend, first we calculate x, when g(x) = 0

or, |x+2| = 0

or, x + 2 = 0

or, x = -2.

We find two more points, g(-1) and g(-3) to find if the V is upright or inverted.

g(-1) = |-1+2| = 1

g(-3) = |-3+2| = 1

Since g(-1) and g(-3) are greater than g(-2), g(x) = |x+2| is an upright V-shaped function starting from the point (-2,0)

h(x) = -3, is a straight line parallel to the x-axis, passing through the point -3 on the y-axis.

∴ f(x) = g(x) + h(x) = |x+2|-3 will move the graph of g(x) 3 points down.

The graph of f(x) will then be a V-Shaped upright curve, with the start point (-2, -3) and going up.

Our graph has been attached. The graph matching our graph is the 2nd one, so that is the right option.

Learn more about plotting graphs at

https://brainly.com/question/21681036

#SPJ2

Please help with the question below

Answers

Answer:

0, 120, 120, 150

Step-by-step explanation:

0, 120, 120, 150

Just multiply the speeds by the hour.

0 * 60 = 0

2 * 60 = 120

120 + 0 * 0.5 = 120

30 * 1 + 120 = 150

someone pls help me

Answers

Answer:

x   5  2  -1  -7  -10   1    -19

y   10 4  8   6  20  24  32

Step-by-step explanation:

Hope this helps!

This is for the x section   5  2  -1  -7  -10   1    -19

This is for the y section   10 4  8   6  20  24  32

Correct me if i'm wrong

what is the value of the expression 3 1/4 - 1 7/8 =

Answers

The answer is 45/8
You have make sure that the denominator has the same value!
31/4-17/8=62/8-17/8
=45/8

please help, I don’t understand.

Answers

Answer: The distance from Shively to the tower is 386.1 meters

The distance from Sparzak to the tower is 226.9 meters

The distance from Shively to Spazak is 386.1 m + 226.9m = 616 meters.

Step-by-step explanation:

You can create a triangle rectangle between the position of each boy, the bottom of the tower and the top of the tower.

From the left kid (i think is Shively), we have that the top angle (formed between the perpendicular line to the tower and the tower) must be:

A = 90° - 40° =50°

(that is a 90° angle divided by the hypotenuse of the triangle, then if one side is 40°, the other angle should be such that when we add bot angles the sum is 90°)

Now, we want to find the opposite cathetus to this angle, so we can use the relation:

Tan(A) = Opposite cath/adjacent cath.

And we know that the adjacent cathetus, the tower, is 324m long.

then:

Tan(50°) = X/324m.

Tan(50°)*324m = X = 386.1m

now for the other kid (the one in the right, Sparzak), the angle will be 90° - 55° = 35°.

So we have:

Tan(35°) = X/324m

Tan(45°)*324m = 226.9m

then:

The distance from Shively to the tower is 386.1 meters

The distance from Sparzak to the tower is 226.9 meters

The distance from Shively to Spazak is 386.1 m + 226.9m = 616 meters.

At 4 p.m., the temperature started to change drastically. Each hour, for three hours, the temperature decreased by 7°F. Which word in the problem indicates that a negative integer should be used? change each decreased drastically

Answers

Answer:

Decreased.

Step-by-step explanation:

Decrease means to go down or take away, therefore in a mathematical equation, it would be represented by a negative integer.

Change could be positive or negative

each is a singular description word

and drastically is just describing how fast.

have a good day!

Answer:

decreased :^)

Step-by-step explanation:

he;p me please i am losing my points please anyone can you help at least one of you please please please! :(

Answers

[tex]answers \\ 1. \: \: c \\ 2. \: a \\ 3. \: d \\ 4. \: b \\ explantion \\ 1. \: \: r \: rotated \: 270.the \: r \: lies \: on \: {3}^{rd} \\ quadrant. \\ 2. \: \: r \: reflected \: to \: x. \: the \: r \: mirroring \\ to \: {1}^{st} quadrant. \\ 3. \: r \: moves \: 12 \: units \: upward. \\ 4. \: r \: scaled \: \frac{1}{5} . \: therefore \: the \: sides \: \\ scaled \: \frac{1}{5} also. \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment..[/tex]

3. What is the solution to the equation 3x = 15? Express the
solution as a logarithm, make an estimate, and then evaluate.
Round to the nearest thousandth.

Answers

Answer:

x=2.4650

Step-by-step explanation:

I assume that you mean [tex]3^x=15[/tex]

so let s use the ln() function

[tex]ln(3^x)= xln(3)=ln(15)[/tex]

so x = ln(15)/ln(3)

x = 2.4650

4 + 5 /3 squared - 2 squared

Answers

Answer:

[tex]\frac{25}{9}[/tex]

Step-by-step explanation:

[tex]4+\frac{5}{3} ^2-2^2=\frac{5}{3}^2=\frac{25}{9}[/tex]

The answer is 25/3 as the final answer

The graph of a quadratic equation opens down when the value of is negative.

Answers

Answer:

given a quadratic function, y = ax2 + bx + c, when "a" is positive, the parabola opens upward and the vertex is the minimum value. On the other hand, if "a" is negative, the graph opens downward and the vertex is the maximum value

Step-by-step explanation:

Differentiate the function.

y = (4x − 1)^2 (4 -x^5)^4

dy/dx=​

Answers

Answer:

[tex]\displaystyle y' = -4(4x - 1)(4 - x^5)^3(22x^5 - 5x^4 - 8)[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right

Distributive Property

Algebra I

Terms/CoefficientsFactoring

Calculus

Derivatives

Derivative Notation

Derivative of a constant is 0

Basic Power Rule:

f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹

Derivative Rule [Product Rule]:                                                                                [tex]\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)[/tex]

Derivative Rule [Chain Rule]:                                                                                    [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]

Step-by-step explanation:

Step 1: Define

Identify

y = (4x - 1)²(4 - x⁵)⁴

Step 2: Differentiate

Product Rule:                                                                                                 [tex]\displaystyle y' = \frac{d}{dx}[(4x - 1)^2](4 - x^5)^4 + (4x - 1)^2\frac{d}{dx}[(4 - x^5)^4][/tex]Chain Rule [Basic Power Rule]:                                                                       [tex]\displaystyle y' = [2(4x - 1)^{2 - 1} \cdot \frac{d}{dx}[(4x - 1)]](4 - x^5)^4 + (4x - 1)^2[4(4 - x^5)^{4 - 1} \cdot \frac{d}{dx}[(4 - x^5)]][/tex]Simplify:                                                                                                             [tex]\displaystyle y' = [2(4x - 1) \cdot \frac{d}{dx}[(4x - 1)]](4 - x^5)^4 + (4x - 1)^2[4(4 - x^5)^3 \cdot \frac{d}{dx}[(4 - x^5)]][/tex]Basic Power Rule:                                                                                         [tex]\displaystyle y' = [2(4x - 1) \cdot 4x^{1 - 1}](4 - x^5)^4 + (4x - 1)^2[4(4 - x^5)^3 \cdot -5x^{5 - 1}][/tex]Simplify:                                                                                                          [tex]\displaystyle y' = [2(4x - 1) \cdot 4](4 - x^5)^4 + (4x - 1)^2[4(4 - x^5)^3 \cdot -5x^4][/tex]Multiply:                                                                                                         [tex]\displaystyle y' = 8(4x - 1)(4 - x^5)^4 - 20x^4(4x - 1)^2(4 - x^5)^3[/tex]Factor:                                                                                                           [tex]\displaystyle y' = 4(4x - 1)(4 - x^5)^3 \bigg[ 2(4 - x^5) - 5x^4(4x - 1) \bigg][/tex][Distributive Property] Distribute 2:                                                             [tex]\displaystyle y' = 4(4x - 1)(4 - x^5)^3 \bigg[ 8 - 2x^5 - 5x^4(4x - 1) \bigg][/tex][Distributive Property] Distribute -5x⁴:                                                         [tex]\displaystyle y' = 4(4x - 1)(4 - x^5)^3 \bigg[ 8 - 2x^5 - 20x^5 + 5x^4 \bigg][/tex][Brackets] Combine like terms:                                                                     [tex]\displaystyle y' = 4(4x - 1)(4 - x^5)^3(-22x^5 + 5x^4 + 8)[/tex]Factor:                                                                                                           [tex]\displaystyle y' = -4(4x - 1)(4 - x^5)^3(22x^5 - 5x^4 - 8)[/tex]

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Derivatives

Book: College Calculus 10e

The bridge over the river has a weight limit of 12.65 tons to cross it. The truck weighs 10.89 tons. How many tons is the truck under the weight limit

Answers

Answer:

1.76 tons

Step-by-step explanation:

12.65 minus 10.89 is equal to 1.76. If you have a calculator, you can use that to solve addition, subtraction, multiplication, and division problems.

Plz help i hate math obvious​

Answers

Answer:

2) 14 times  3) 210 times

Step-by-step explanation:

2) every second, a monarch butterfly will beat its wings 14 times

3) lets use the following formula

An=A1 +(n-1)d

A15= 14 + (15-1)14

A15= 14+14*14

A15= 14+196

A15= 210

210 times in 15 seconds

Can someone please help me

Answers

Answer:

The answer is A

Triangle ABC has vertices A (0, 2), B (5, 4), and C (5, 0). Triangle A′B′C′ has corresponding vertices A′ (–5, –1), B′ (0, 1), and C′ (0, –3). Which of the following describes a translation that would produce triangle A′B′C′ from the pre-image of triangle ABC? Question 4 options: A) To the left five units, up three units. B) To the right five units, up three units. C) To the left five units, down three units. D) To the right five units, down three units.

Answers

it’s to the left 5 units, down three, so C because the translation maps abc to a’b’c’

Answer:

C

Step-by-step explanation:

write (2a)^4 without exponents

Answers

Answer: 2a*4*4*4*4= x (Vote me brainliest please)

Step-by-step explanation: Exponents are simply telling you to multiply the base number or expression by that many times.

Answer:

[tex] = 16 {a}^{4} \\ [/tex]

Step-by-step explanation:

[tex](2a) ^{4} [/tex]

[tex]2a \times 2a \times 2a \times 2a \\ = 16 {a}^{4} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Solve the equation using the Quadratic Formula: (Hint: You may select
more than one answer choice here) *

x2 – 5x + 6 = 0

Answers

Answer:

x = 3,2

Step-by-step explanation:

Solve the equation for x by finding a, b, and c of the quadratic then applying the quadratic formula.

please mark brainly

Answer:

x = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

First we have to distinguish the whole numbers from the numbers with variables.

2x and 5x are numbers with variables, 6 and 0 are whole numbers.

Then we can seperate them on different sides of the equal sign.

To do this, we have to subtract 6 on the left side and add it to the right side.

Now our equation will be 2x - 5x = -6.

Now we can simplify this.

Starting on the left side, 2x - 5x equals to -3x.

The right side can not be simplified.

So, our equation will now be -3x = -6.

Now we can divide both sides together.

The easiest way to do this is by turning the equation into a fraction.

So it will be [tex]\frac{-3}{-6}[/tex].

Both equal signs cancel out, so the answer will be [tex]\frac{1}{2}[/tex].

Hope this helped :)

A cafeteria has a special: one hamburger and one order of fries is $5.49, and one hamburger and two orders of fries is $6.99. Determine the price of the hamburger.

Answers

Answer:

$3.99

Step-by-step explanation:

if one fry and one Burger is $5.49, and two fries and one Burger is $6.99, the difference between those two numbers is a $1.50 so, $5.49 - $1.50 equals $3.99 also known as the amount of money for one Burger.

I need to do this assignment

Answers

Answer:

c

Step-by-step explanation:

(3x+1)(x+6)

3x^2+18x+1x+6

PLZ HELP I NEED HELP THANK YOU​

Answers

Answer:

3rd one

Step-by-step explanation:

The big prism is 10x10x15 = 1500, and all the values are bigger except for the third and fourth. However, since we are cutting something out it should be less than 1500, the only is the 3rd answer.

Answer:

1468 in^3

Step-by-step explanation:

you can just solve for the volume of the big container and then solve for the volume of the small container and subtract the volume of the small container from the big one.

big container: 10 x 10 x 15 = 1500

small container: 2 x 4 x 4 = 32

1500 - 32 = 1468

A company is replacing cables with fiber optic lines in rectangular casing BCDE. If segment DE = 3 cm and segment BE = 3.5 cm, what is the smallest diameter of pipe that will fit the fiber optic line? Round your answer to the nearest hundredth.

Answers

Answer: 3.66 cm

Step-by-step explanation: Given a rectangular casing BCDE with segment DE = 3 cm and segment BE = 3.5 cm.

The area A of a rectangle is length multiply by width.

Where length L = 3.5 cm and

width W = 3 cm

Area A = 3.5 × 3 = 10.5 cm^2

The pipe that will fit the fiber optic line is in cylindrical shape. Where area of a cylinder = πr^2.

But area A = 10.5. Substitute the values for the area of the cylinder

10.5 = πr^2

10.5 = 3.143 × r^2

Make r^2 the subject of formula

r^2 = 10.5/3.143

r = sqrt ( 3.34225 )

r = 1.828

Diameter = 2 × radius

Diameter = 2 × 1.829

Diameter = 3.656 cm

Therefore, the smallest diameter of pipe that will fit the fiber optic line is 3.66 cm approximately.

Answer:

4.24 cm

Step-by-step explanation:

pythagorean theorem

a^2+b^2=C^2

3^2+3^2=18

square root of 18 =4.24

hope this helped :)

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