PLEASE HELP QUICK

Parallel lines a and b are cut by the transversal t. Explain how transformations can be used to show that angle 4 congruent is to angle 8 and angle 4 is congruent to angle 5

PLEASE HELP QUICK Parallel Lines A And B Are Cut By The Transversal T. Explain How Transformations Can

Answers

Answer 1

We can apply a translation (aka shifting) to angle 4 to slide it down until it matches up perfectly with angle 8. This is one way to see how the two angles are identical copies of each other.

Once we know that [tex]\angle 4 \cong \angle 8[/tex], we can then show that angles 5 and 8 are congruent by rotating angle 8 exactly 180 degrees around so that it lands perfectly on angle 5. By the transitive property we can say

[tex]\text{ If } \angle 4 \cong \angle 8 \text{ and } \angle 8 \cong \angle 5, \text{ then } \angle 4 \cong \angle 5[/tex]

Another way is to reflect angle 4 over the transversal, and then slide it down so it matches up with angle 5. This bypasses the need for angle 8.

All of this is valid because of the parallel lines. If the lines weren't parallel, then angles 4 and 8 wouldn't be congruent (nor would angles 4 and 5). However, angles 5 and 8 are congruent since vertical angles are always congruent.


Related Questions




Indira drew 3 animals: an eagle, a snake, and a shark. She drew each animal twice, once with green eyes and once with red eyes. Ten students chose their favorite drawing. Three of them chose the shark with red eyes.

How many possible outcomes are there in the sample space of her experiment? Based on the results, what is the experimental probability that a shark with red eyes is not picked, written as a percent?
(PLEASE HELP!!)

Answers

Since each of the 10 students has 3 choices, there are [tex]3^{10}[/tex] possible outcomes in the sample space of her experiment.

Using the probability concept, it is found that there is a 70% experimental probability that a shark with red eyes is not picked.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

For an experimental probability, these numbers of outcomes are taken from previous trials.

In this problem, out of 10 students, 3 choose the shark with red eyes, hence 7 did not choose them, thus:

p = 7/10 = 0.7 = 70%.

Hence, there is a 70% experimental probability that a shark with red eyes is not picked.

For the total number of outcomes, there are 10 students, each with 3 choices, hence there are there are [tex]3 \times 3 \times 3 \cdots \times 3 = 3^{10}[/tex] possible outcomes in the sample space of her experiment.

More can be learned about probabilities at https://brainly.com/question/14398287

Can someone help me with this problem?

Answers

Answer:  2(11+9)

Explanation:

22 = 2*11

18 = 2*9

We see that 2 is the GCF of 22 and 18. It's the largest shared factor.

Now use the distributive property to say the following

22 + 18

2*11 + 2*9

2(11+9)

To check the answer, multiply the outer 2 by each term inside to end up with 22+18 again.

How many 1/20 are there in 1/4?

Answers

Answer:

there are 5

Step-by-step explanation:



8. an airplane is approaching seattle international airport. the pilot begins a 13

degree angle of descent starting from a height of 500 feet. how far from the airport

is the plane? round to the nearest tenth. (2 points)

work:

10° angle of descent

airport

the plane is away from the airport.

Answers

Answer:

x=2164.50

Step-by-step explanation:

tan13=500/x

x=500/tan13

x=500/0.231

x=2164.50

I think this is correct but im not to sure

help me!
[tex]\sqrt{84} +\sqrt{84} =?[/tex]

Answers

Answer:

18.4

Step-by-step explanation:

Well the square root of 84 isn't an exact answer.

But when rounded it equals to approximately 9.16 or rounded even more 9.2 at most.

So 9.2 + 9.2 = 18.4.

So the answer is ≈ 18.4

Have a good day or night wherever you are. May GOD Bless You!!

Answer:

=> 18.3303028 or 18.4

Step-by-step explanation:

=> √84 +√84 {√84 = 9.16515139 or 9.2}

=> 18.3303028 or 18.4

How many milligrams are equal to 17. 9 grams?


A. 0. 0179 mg


B. 179 mg


C. 17,900 mg


DX. 179,000 mg

Answers

Answer:

17,900 mg

Step-by-step explanation:

I took the k12 test today

A rock was thrown from a cliff. Its path can be modelled by the relation h=-0.5d^2 + d + 12, where h is the height of the rock above the ground and d is the horizontal distance, both in metres. a) How high is the cliff? b) Write the relation in intercept form. c) Determine the zeros of the relation. d) At what horizontal distance did the
rock hit the ground? e) Graph the relation.

Answers

a) h = 12 ft, b) h = - 0.5 · (d - 6) · (d + 4), c) d₁ = 6, d₂ = -4, d) 6 ft, e) Please see the image attached below for further details.

How to analyze a second order polynomial related to the trajectory of the rock under parabolical motion

An object is under a parabolical motion, when it has a horizontal motion at constant velocity and a vertical motion uniformly accelerated by gravity and effects from air viscosity are neglected. In this case, the trajectory is described by second order polynomial (quadratic function).

a) The height of the cliff is found by evaluating the function at d = 0:

h = - 0.5 · 0² + 0 + 12

h = 12 ft

The initial height of the cliff is 12 feet. [tex]\blacksquare[/tex]

b) The intercept form of the quadratic function is found by algebraic procedures:

h = - 0.5 · d² + d + 12

h = - 0.5 · (d² - 2 · d - 24)

h = - 0.5 · (d - 6) · (d + 4)

The relation in intercept form is h = - 0.5 · (d - 6) · (d + 4). [tex]\blacksquare[/tex]

c) The zeros of the relation are d₁ = 6 and d₂ = -4. [tex]\blacksquare[/tex]

d) The rock hit the ground at a horizontal distance of 6 feet. [tex]\blacksquare[/tex]

e) The relation is graphed below. [tex]\blacksquare[/tex]

To learn more on quadratic functions, we kindly invite to check this verified question: https://brainly.com/question/5975436

Identify the unit rate in the graph.

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's find the unit rate (r) ~

[tex]\qquad \tt \dashrightarrow \:r = \dfrac{y 2 - y1}{x2 - x1} [/tex]

[tex]\qquad \tt \dashrightarrow \:r = \dfrac{50 - 0}{1 - 0} [/tex]

[tex]\qquad \tt \dashrightarrow \:r = {50 }{} \: mph[/tex]

Take two points

(1,50)(2,100)

Slope:-

m=y_2-y_1/x_2-x_1m=100-50/2-1m=50

help help help please thanks

Answers

Answer:

1/15   gal / mile   if your numbers are correct

Step-by-step explanation:

1/5   /   15/4     =   1/5  * 4 / 15 =  4/60 = 1/15

What is the factored form of 8x2 12x? 4(4x2 8x) 4x(2x 3) 8x(x 4) 8x(x2 4)

Answers

I think the answer is 4x(2x 3)

Find the missing side lengths. ( BC and DE)

Answers

Answer:

BC= 24, DE= 15

Step-by-step explanation:

You can use the Pythagroean theorem which is a^2+b^2=c^2.

So AC is the hypotenuse, so a^2+10^2=26^2=a^2+100=676. Subtract 100, a^2=576. Then take the square root of 576 which is 24.

EC is the hypothenuse for triangle EDC, so a^2+36^2=39^2, a^2+1296=1521. Then subtract to 1296 to get 225. Then take the square root which is 15.

A pole that is 3.2 meters tall casts a shadow that is 1.18 meters long. At the same time, a nearby tower casts a shadow that is 42.25 meters long. How tall is the tower? Round answer to the nearest tenth.​

Answers

Answer:

114.6 meters tall

Step-by-step explanation:

If you draw out the poles and shadows, you can connect the end of the shadow to the top of the pole. This creates two traingles that are proportional. This allows you to set up the proportion:

3.2 m / 1.18 m = x / 42.25 m

You can then cross multiple and get:

1.18x = (3.2)(42.25)

1.18x = 135.2

You can then divide and solve for x.

x = 114.6 m

X is a variable for the height of the taller pole, so you can simply add units and thats the height.

In circle G with m \angle FGH= 42m∠FGH=42 and FG=6FG=6 units find area of sector FGH. Round to the nearest hundredth.

Answers

The area of the sector with a radius of 6units and an angle of 4 degrees rounded to the nearest hundredth is 13.19 square units

How to find the area of a sector?

The sector is a part of a circle with an angle subtended at the centre. The formula for calculating the area of a sector is expressed as:
A = r²Ф/2

where:

r is the radius

Ф is the subtended angle

Given the following

r = 6 units

Ф = 42degres

Substitute

Area of the sector = 6²/2 * 42/180 π
Area of the sector = 13.188units

Hence the area of the sector rounded to the nearest hundredth is 13.19 square units

Learn more on area of sector here: https://brainly.com/question/22972014

If the walls of a square room require 480 ft^2 of paint and the floor to ceiling height is 10

ft, what are the dimensions of the room?

Answers

Answer:

48 by 10 because

[tex]480\div 10 = 48[/tex]

therefore the wall dimensions are 48 by 10

David draws one card from a deck of cards. What is the probability that he selects a 7?

Answers

4/52 = 1/13

hope it helps...!!!

To avoid a storm, airline
pilots flew the path shown
at the right from Houston to
Cleveland. How many
miles farther did they travel
than if they had gone directly?

Graph is in the picture.

Answers

Answer:

add them to get the answer then times 2 to it

Step-by-step explanation:

2,037 + 366 = 2,403

Answer---2,403

what is 44237 divdied by 31 asap

Answers

Answer:

1427

Step-by-step explanation:

13. A triangle has angle measurements of
36°, 36° and 108°. Is the triangle acute, obtuse
or right? How do you know?

Answers

The triangle is obtuse because one of the sides is greater than 90

108 > 90

5. Solve for x in the parallelogram below.

Answers

Answer:

11

Step-by-step explanation:

42 is also the degree for x so 42+42=84

there are 360 total degrees in a parallelogram

360-84=276

276 is divided by 2 as y and w are the same degrees

138 + 5 to find x and that is 143

143/13 is 11

HELP! WILL GIVE BRAINLEST! What is the approximate degree measure of an angle of 4.59 rad?

Answers

Approximately 263 degrees or C

Answer:

C

Step-by-step explanation:

Can someone help with this?

Answers

I belive it is the second option!

8(2y+y)

hope it helps!!!

please help im stuck on this

Answers

Answer:

7m

Step-by-step explanation:

The length is 3.5 cm

Since teh scale is 1 cm = 2m

3.5 cm = 2(3.5) m

3.5 cm = 7 m

Therefore our answer is 7m

Answer:

7m

Step-by-step explanation:

i multiplied both sides by 2

because

1cm = 2m so 2 divided by 1 is 2

2.5 times 2 is 5m

3.5 times 2 is 7m

actual area is

5 times 7 which is =

35m^2

i dont understanddd??/

Answers

Answer:

208 m^2

Step-by-step explanation:

Add the area of all of the rectangles and/or squares

4x6*2   +   4x8 *2   +    6x8 * 2

total = 208 m^2

You inherit $5000 from your long lost Uncle Harold. The bad news is that the money must sit in a bank account for the next ten years until you can use it. The account earns 7. 2% interest, compounded annually. This means that you will need to multiply the amount of money by 1. 072 to determine how much money remains at the end of the next year

Answers

Answer:

5360

Step-by-step explanation:

5000*1.072=5360

NEED HELP QUIK!!! 20PTS


For his phone service, Ryan pays a monthly fee of $10, and he pays an additional $0.06 per minute of use. The least he has been charged in a month is $92.74. What are the possible numbers of minutes he has used his phone in a month? Use m for the number of minutes, and solve your inequality for m.

Answers

Answer:

$92.74 = 0.06m + $10

m = 1545.67 (or 1546 if rounded to the nearest whole minute)

Step-by-step explanation:

m represents the number of minutes, which we have been told are charged at $0.06 per minute.

$10 is the constant because he is charged this every month.

Set up the equation with these numbers:

92.74 = 0.06m + 10

Now solve the equation

Subtract 10 from both sides to get m by itself:

92.74 - 10 = 0.06m + 10 - 10

82.74 = 0.06m

Divide each side by 0.06 to get m as a whole number

92.74/0.06 = 1545.67

0.06m/0.06 = m

Therefore

m = 1545.67 (or 1546 if rounded to the nearest whole minute)

how do you do 6-4 6-5 math in 8th grade

Answers

Answer:

Image result for how do you do 6-4 6-5 math in 8th grade

The order of operations is a rule that tells the correct sequence of steps for evaluating a math expression. We can remember the order using PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Step-by-step explanation:

-. Write the integers -5, 4, 0, -8 in order from least to greatest.
A. 0, 4, -5, -8.
C.-8, -5, 0,4
B.-5, -8,0,4
D. 4,0, -5, -8

Answers

Answer:

This is the answer

C. -8, -5, 0,4

Which of these graphs represents a function​

Answers

Answer: Answer X

Step-by-step explanation:

In order for a graph to represent a function, it must pass the vertical line test. This means, if you were to draw a vertical line at ANY point along the graph, it should not intersect more than one point. For answers W, Y, and Z, they clearly fail the vertical line test. Answer X is the only graph that passes the vertical line test.

Maggie sells homemade cookies. on a dozen cookies she spend 0.50 on flour, 0.70 on sugar, 0.40 on eggs,and 0.40 on packaging if she sells a dozen cookies for six dollars how much profitting does she make

Answers

Using the profit concept, it is found that she makes a profit of $4 selling a dozen cookies for six dollars.

What is a profit?


The profit is given by the subtraction of the revenue by the total costs.

In this problem:

For the dozen cookies, she earned a revenue of 6 dollars.In all, the total cost of the 12 cookies was of 0.5 + 0.7 + 0.4 + 0.4 = 2 dollars.

6 - 2 = 4, hence she makes a profit of $4.

More can be learned about the profit concept at https://brainly.com/question/4001746

what is the circumference of a circle with radius 1 ?

Answers

Answer: 6.28

Step-by-step explanation: Using the formula 2×pie×radius

Circumference=2×3.14×1

=6.28

Answer:

Step-by-step explanation:

C = circumference

r = radius

d = diameter

C = 2[tex]\pi[/tex]r or C = [tex]\pi[/tex]d

I will be using the second formula since it is what I prefer but please note that when using the first the only thing being multiplied by two is the radius, not pi.

d = 2r

d = 2 * 1

d = 2

C = 2[tex]\pi[/tex]

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