ACTIVITY 3: TEST YOURSELF!
Direction: In the given figure, GRAY is a rectangle. Complete the conclusion and
write the reasons that will justify each of the statements.
R
A
1. If Sis the midpoint of GA, then
2. If GA bisects RY, then
3. If GR is perpendicular to RA, then
4. If ZGRA and ZRAY are supplementary angles, then
5. If ZGYS and ZSYA formed a right angle, then​

Answers

Answer 1

The ZGYS + ZSYA = 90 degrees.

The given diagram is as follows: [tex]\text{Given:}[/tex] Gray is a rectangle.

Conclusions: [tex]\text{Conclusion 1: }[/tex]If S is the midpoint of GA, then [tex]\text{Reason: }[/tex] S is the midpoint of GA and according to the Midpoint theorem, the line segment joining any two midpoints of a triangle is parallel to the third side. Therefore, GA is parallel to RY. [tex]\text

{Conclusion 2: }[/tex]If GA bisects RY, then [tex]\text{Reason: }[/tex] GA bisects RY and if a line segment is bisected by a line, then two halves of the line segment will be equal. Therefore, GY = RY. [tex]\text

{Conclusion 3: }[/tex]If GR is perpendicular to RA, then [tex]\text{Reason: }[/tex] GR is perpendicular to RA and if a line segment is perpendicular to another, then they will form right angles. Therefore, ZGRA = 90 degrees. [tex]\text

{Conclusion 4: }[/tex]If ZGRA and ZRAY are supplementary angles, then [tex]\text{Reason: }[/tex] ZGRA and ZRAY are supplementary angles and if two angles are supplementary, then their sum will be 180 degrees. Therefore, ZGRA + ZRAY = 180 degrees. [tex]\text

{Conclusion 5: }[/tex]If ZGYS and ZSYA formed a right angle, then [tex]\text{Reason: }[/tex] ZGYS and ZSYA form a right angle and if two angles form a right angle, then their sum will be 90 degrees.

Know more about  here:

https://brainly.com/question/1369422

#SPJ11

Answer 2

ACTIVITY 3: TEST YOURSELF!1. If S is the midpoint of GA, then the length of SG is equal to the length of GA.2. If D is the midpoint of EF, then the length of DE is equal to the length of EF.3.

If A is the midpoint of BC, then the length of AB is equal to the length of AC.4. If M is the midpoint of PQ, then the length of MP is equal to the length of MQ.5. If ZGYS and ZSYA formed a right angle, then ZGYS is a right angle.Thus, we can say that midpoint bisects the line segment into two equal halves.

In the given question, we have to identify the relationship between different points of a triangle. We have to identify whether the given line segment is the midpoint of the other line segment or not.In the first question, we have been given a triangle and a point S. We have to check if S is the midpoint of GA or not. To check that we need to measure the length of SG and GA. If the length of both the line segments is equal, then S is the midpoint of GA. In the fifth question, we have been given a triangle and two line segments. We need to check whether they form a right angle or not. If they form a right angle, then the given angle is a right angle.

Know more about line segments here:

https://brainly.com/question/17526896

#SPJ11


Related Questions

Help am i correct please Ehejahrs

Answers

I think sooooooo if not I’m very sorry

What is the slope of the linear equation represented by the table.​ NEEDED PLSS

Answers

Answer:28/4

Step-by-step explanation:

Change of y over the change of x.

Y is +28

X is +4

Which equation correctly uses the law of cosines to solve for the length s?

Answers

Answer: Choice D

s^2 = 9^2 + 10^2 - 2(9)(10)cos(100)

==========================================================

Explanation:

Consider the pythaorean theorem

a^2 + b^2 = c^2

which is the same as saying

c^2 = a^2 + b^2

If we tack on "-2ab*cos(C)", then we end up with

c^2 = a^2 + b^2 - 2ab*cos(C)

which is one form of the law of cosines. The side c is opposite angle C, and the two are on opposite sides of the equation. The 'a's and 'b's are on the right side with the angle C.

Note if C = 90 degrees, then cos(C) = cos(90) = 0 which means the whole "-2ab*cos(C)" term goes to 0 and we'd be left with the pythagorean theorem again.

In this case, we replace c with s, replace 'a' with 9, replace b with 10, and C with 100.

Answer:

Option (4)

Step-by-step explanation:

Cosine rule states,

(UT)² = (SU)² + (ST)² - 2(SU)(ST)cos(∠UST)

Here, UT is the opposite side of angle UST and two sides SU and ST are the adjacent sides.

∠UST is the included angle between SU and ST.

By this formula,

s² = 9² + 10² - 2(9)(10)cos(100°)

Therefore, Option (4) will be the answer.

GIVING BRAINLIEST IM TIMEDDDD

Answers

Answer:its the 2nd one

Step-by-step explanation: i remeber because i took this quiz

7 The table below shows the population of
different regions in 1985 and in 2005.
Place
Entire world
China
Population in Population
1985
in 2005
4.9 X 109 6.4 X 109
1.1 X 109 1.3 X 109
7.6 x 108 1.1 x 10
2.4 x 108 3.0 X 108
8.9 X 106 7.2 X 106
India
United States
Bulgaria
a Determine the ratio of the population
of the entire world to that of China in
2005, giving your answer to the nearest
integer

Answers

Answer:

In this table the graphic shows that...

Step-by-step explanation:

...the population increased 5,9 x 10 6.

The ratio is 64:13

What is ratio?

Ratio is the comparison of two quantities which is obtained by dividing the first quantity by the other. If a and b are two quantities of the same kind and with the same units, such that b is not equal to 0, then the quotient a/b is called the ratio between a and b. Ratios are expressed using the symbol of the colon (:). This means that ratio a/b has no unit and it can be written as a : b

Given data:

Population of china in 2005 =1.3*10^9

population of entire world in 2005 = 6.4*10^9

Now,

ratio= 6.4*10^9/ 1.3*10^9

ratio= 64/13 or 64:13

Learn more about ratio here:

https://brainly.com/question/13419413

#SPJ6

can someone help me how to calculate 15% of R200​

Answers

Answer:

30

Step-by-step explanation:

formula :15÷100×200

Ethan is designing a new board game, and is trying to figure out all the possible
outcomes. How many different possible outcomes are there if he spins a spinner with
three equal-sized sections labeled Walk, Run, Stop and rolls a fair die in the shape of
a cube that has six sides labeled 1 to 6?

Answers

Answer:

18

Step-by-step explanation:

3x6

Solve -3.5=x-4 for x using the multiplication propertiy of equality

Answers

Answer:

Hello! :) have a good day!

X= 0.5

Answer:

x = 0.5

Step-by-step explanation:

Please help with this it is due today

Answers

Answer:

24

Step-by-step explanation:

25 POINTS!!!!! HELP NEEDED


(05.01 MC)
The graph shows the prices of different numbers of bushels of corn at a store in the
current year. The table shows the prices of different numbers of bushels of corn at
the same store in the previous year.
Current Year
98
70
Price of
Com
56
(dollars) 42
28
14
0 2 4 6 8 10 12 14
Number of Bushels
Previous Year
Number of Bushels Price of Corn (dollars)
2
10
4.
20
6
30
8
40

Answers

PART A:

To find the rate of change, put change in y over change in x. In order to first find the changes, you must subtract two y values from each other and two x values from each other, like this:

Change in y = 20-10

Change in x = 4-2

Then you can put these over each other:

20-10/4-2

Then simplify

20-10/4-2 = 10/2 = 5/1 = 5

So, this means the rate of change is 5. $5 per bushel.

If you also need part B it would be helpful to see the other chart because it's hard to understand in the writing you included. :) Comment and let me know if you post it so I can help you out!

Part A: 7 dollars  

- The graph shows that 2 bushels is 14 dollars,  because the graph has a straight line, the rate remains constant you must divide the sides by two to find the amount for one bushel which would be 7 dollars.

- And to double check you would divide 28 by 4, 42 by 6, 56 by 8, 70 by 10, 84 by 11, and 98 by 12. they all equals 7 dollars So, the equation would be y = 7x.

- 7 can be known as the slope and  rate of change.

Part B:2 dollars

- The years before show 2 bushes was 10 dollars

-so you would divide 10 by two you would get five  To double check you would do the same thing with 20 by 4, 30 by 6 and 40 by 8, and they all equal 5 dollars.

-if you use this answer be sure to reword it so you dont get copy write and integrity. have a great day or night.

Which statement is true for brainliest

Answers

Answer:

<A≅<Z

Step-by-step explanation:

Hope This Helps!

[tex] \sqrt{ x} = \sqrt{2} + 1 \: then \: x = [/tex]
helpppp asap​
edit:help guys i have examm

Answers

Answer:

3+2√2

Step-by-step explanation:

Given the expression

√x = √2 + 1

To get x, we will have to square both sides

(√x)² = (√2 + 1)²

x = (√2 + 1)(√2 + 1)

x = √4+√2+√2+1

x = 2+2√2+1

x = 3+2√2

Hence the value of x is 3+2√2

A home meal delivery business delivers 34.5 pounds of food each day. How many ounces of food will they deliver in 4 days? (1 lb.= 16 oz) fill in the blank they will deliver ______ ounces of food in 4 days.

Answers

Answer:

They will deliver 2208 ounces of food in 4 days.

Step-by-step explanation:

Multiply 34.5 by 16 to get the ounces and got 552. Then multiply 552 by 4 and you'll get the answer.

:))

You have 49 dimes and quarters. You have 7 more quarters than dimes.How much money you have in quarters and dimes

Answers

Answer:

Step-by-step explanation:

Because you have seven more quarters than dimes, you have 28 quarters, and 21 dimes, which equals 49 dimes and quarters.

You have $9.10

I hope this helps!

Thanks!

Hangi sayının 10 eksiğinin 7 katı 70'tir ?​

Answers

7*(x - 10) = 70
7x = 140. Wait if this is wrong I’m really sorry! Have a great day.

What value of x makes the equation below true 5(x − 8) + 26 = −9? A 1 B -1 C 15 D -15

Answers

answer is A which is 1

how can you tell the difference between circumcenter and incenter?

Answers

A circle inscribed inside a triangle is called the incenter, and has a center called the incenter. A circled drawn outside a triangle is called a circumcircle, and it's center is called the circumcenter. Drag around the vertices of the triangle to see where the centers lie.

8th grade math. Solve and check. 2x + 3x + 5 = 4(x - 2)

Answers

2x + 3x + 5 = 4(x-2)

5x + 5 = 4x - 8

5x-4x = -8 -5

x = -13

Answer:

x=−13

Step-by-step explanation:

Combine the like terms:

2+3+5=4(−2)5+5=4(−2)

Distribute:

5+5=4(−2)

5+5=4−8

Subtract 5 from both sides

5+5=4-85+5−5=4−8−5

Then simplify:

x=−13

Answer:

x=−13

Jack invested $7,600 in an account paying an interest rate of 6\tfrac{1}{4}6 4 1 ​ % compounded continuously. John invested $7,600 in an account paying an interest rate of 6\tfrac{3}{4}6 4 3 ​ % compounded quarterly. After 19 years, how much more money would John have in his account than Jack, to the nearest dollar?

Answers

Answer: John would have $1371.33 more in his account than Jack.

Step-by-step explanation:

Formula to calculate amount after t years if compounded continuously:

[tex]A=Pe^{rt}[/tex]

Formula to calculate amount after t years if compounded quarterly:

[tex]A=P(1+\dfrac{r}{4})^{4t}[/tex]

, where P= Principal amount, r= rate of interest.

Given: P= $7,600

t=19 years

For Jack, [tex]r=6\dfrac{1}{4}\%=\dfrac{25}{4}\%=\dfrac{25}{400}=0.0625[/tex]

For John, [tex]r=6\dfrac{3}{4}\%=\dfrac{27}{4}\%=\dfrac{27}{400}=0.0675[/tex]

Amount in Jack's account after 19 years= [tex]7600e^{0.0625(19)}[/tex]

[tex]=7600e^{1.1875}\\\\=7600(3.27887376794)\\\\\approx\$24,919.44[/tex]

Amount in John's account after 19 years= [tex]7600e^{0.0675(19)}[/tex]

[tex]=7600(1+0.0675)^{19}\\\\=7600(3.45931245291)\\\\\approx\$26,290.77[/tex]

Difference = 26290.77-24919.44 = $ 1,371.33

John would have $1371.33 more in his account than Jack.

Answer:668

Step-by-step explanation: I just did it.

Solve the pair of linear equations....


Please help me by solving this!​

Answers

In point form (2,1) equation form x = 2 y = 1

Which expression can be used to find the volume of the sphere? A sphere with radius 9 inches. V = four-thirds pi r squared = four-thirds (3.14) (9) squared V = four-thirds pi r cubed = four-thirds (3.14) (9) cubed V = four-thirds pi r cubed = four-thirds (3.14) (18) cubed V = four-thirds pi r cubed = four-thirds (3.14) (18) cubed Mark this and retur

Answers

Answer:

V = four-thirds pi r cubed = four-thirds (3.14) (9) cubed

Step-by-step explanation:

Simplify: i^69
Please help fast

Answers

Answer: it's just "i"

Step-by-step explanation:

Please Help!

if these two shapes are similar, what is the measure of missing length q?

Answers

60 / 96 = 25 / q
5 / 8 = 25 / q
5*q = 8 * 25
5q = 200
q = 40

Check:
60 / 96 = 25 / 40
5/8 = 5/8 :)

Answer:

40

Step-by-step explanation:

96 ÷ 60 = 1.6

25 × 1.6 = 40

Disclaimer: Yay, okay. The person above me got the same answer so this is right.

Simplify the following
(1 1/2) ^-2​

Answers

Answer:

1/2.25 or 4/9

Step-by-step explanation:

6x² + 4x / 6x² + 13x + 6 ( please show work )

Answers

Answer:  6x+4x +13x+6 equal

BRAINLIEST GOES TO THE CORRECT ANSWER!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

11.99

Step-by-step explanation:

if I have 100 baskets and I have 400 hundred apples how many apples will go into each basket

Answers

Answer: 4 apples will go into each basket if you want all the baskets to be filled with an equal amount.

Step-by-step explanation:

100x=400

dividing through by 100 we get

x=4

A jungle has 578 monkeys.
It also has 153 birds.
How many more monkeys than birds are there?
Monkeys
X Х $ ?

Answers

Answer:

425 monkeys

Step-by-step explanation:

Subtract the number of birds from the number of monkeys to find the difference between the two.

578-153=425
Answer 425
Hope this helps have a nice day! :)

Marco paid $12 for 3jump ropes. If each jump rope costs the same amount, how much does 1 jump rope cost? Write and solve an equation.

Answers

Answer:

each jump rope costs 4 dollars

12÷3=4

Answer:

$4

Step-by-step explanation:

Divide: 12 divided by 3=4

Hope this helped!! :)

Stay safe and have a wonderful day/night!!!!!

Brainliest?!?!

Pete is choosing his clothes for the day. His bottoms will be either cargo shorts(C) or jeans (J). His top will be T shirt (T), sweatshirt (S), or long sleeved shirt (L)

Answers

The question is incomplete. Here is the complete question.

Pete is choosing his clothes for the day. His bottoms will be either cago shorts (C) or jeans (J). His top will be T-shirt (T), sweatshirt (S) or long sleeved shirt (L).

Which is a complete list of the possilbe outfits he can choose from?

CT, CS, CL, JT, JS, JL

CJ, CT, CS, CL

CJT, CJS, CJL

CT, TC, JS, SJ, CL, LC

Answer: CT, CS, CL, JT, JS, JL

Step-by-step explanation: The Fundamental Counting Principle is a method of determining a number of ways independents events can occur, i.e., it states that if there are t ways of doing something and w ways of doing another, then there are t x w ways of doing both things.

For example:

Peter has 2 choices of bottom and 3 choices of top. So, according to the principle, he will have 2 x 3 choices of clothing.

And the choices are:

shorts and t-shirt = CT

shorts and sweatshirt = CS

shorts and long sleeved = CL

jeans and T-short = JT

jeans and sweatshirt = JS

jeans and long sleeved = JL

The order he chooses doesn't matter.

So, the right alternative is CT, CS, CL, JT, JS, JL.

Other Questions
Which of the following best describes the types of goods most traded by the ancient Phoenicians?A.foodB.clothingC.luxury itemsD.household goods Deoxygenated blood fills this receiving room. examine the picture below and identify which perspective was used toward the labeled part of the picture choose your answer on the choices inside the box Complete each statement then state the property or properties illustrated by each statement on Benito runs 1/10 of a mile each day. which shows how to find the number of days it will take for benito to run 3/5 of a mile Being timed! I'm also handing out Brainliest ^-^Washington territory was granted statehood in ____.A. 1858B. 1869C. 1878D. 1889 Read the lines from "My Father is a Simple Man."and tells me the orangehas seeds and so is perpetual;and we too will come backlike the orange trees.How does the word choice in the lines convey the speaker's father's view on life?He believes that a good life starts with good nutrition.He thinks one should search for the simple things in life.He knows that life is a cycle of death and rebirth. He feels that a life worth living is one spent in nature. What errors did her coach make in the following example 1/4 to 1/2Find a percent of change, round to the nearest 10th of a percent if necessary.__% of increase or decrease (ANSWER ASAP) 2/3 times 3/4 I need an sender After substituting, what is the first step when evaluating (4y+9)/7 when Y = 8: *:*: *:*: *:*: *:*A. Add 4 and 9. B. Multiply 8 by 4. C. Divide 9 by 7. D. Divide 4 by 7.: *:*: *:*: *:*: *:* Garcia Company issues 8.50%, 15-year bonds with a par value of $390,000 and semiannual interest payments. On the issue date, the annual market rate for these bonds is 12.50%, which implies a selling price of 79. The effective interest method is used to allocate interest expense. 1. Using the implied selling price of 79, what are the issuer's cash proceeds from issuance of these bonds. how do i make college free? For which equation is 3 a solution(I need help) determine if JK and LM are parallel, perpendicular,or neither . HELP AND PLS SHOW WORK !! Which of the following have the most GPE. 1.) a car at the top of a hill 2.) a car at the bottom of the hill 3.) a car half way down the hill 4.) on the straight part of the track. (I don't know how to give Brainly) In a video game, a bird is flung on a sling shot and follows a parabolic path. The path of the bird can be modeled by the equation h=-16t+55t+50, where h is the height of the bird t and is the amount of time, in seconds, the bird has been in the air. How long will it take the bird to reach a height of 40 feet in the air for the first time? Tyler Financial Services performs bookkeeping and tax-reporting services to startup companies in the Oconomowoc area. On January 1, 2014, Tyler entered into a 3-year service contract with Walleye Tech. Walleye promises to pay $10,500 at the beginning of each year, which at contract inception is the standalone selling price for these services. At the end of the second year, the contract is modified and the fee for the third year of services is reduced to $9,800. In addition, Walleye agrees to pay an additional $20,600 at the beginning of the third year to cover the contract for 3 additional years (i.e., 4 years remain after the modification). The extended contract services are similar to those provided in the first 2 years of the contract.1. Prepare the journal entries for Tyler in 2014 and 2015 related to this service contract. (If no entry is required, select "No Entry" for the account titles and enter 0 for the amounts. Credit account titles are automatically indented when the amount is entered. Do not indent manually.)Date Account Titles and Explanation Debit Credit Jan 1, 2014 Dec 31, 2014 Jan 1, 2015 Dec 31, 2015 2. Prepare the journal entries for Tyler in 2016 related to the modified service contract, assuming a prospective approach. (If no entry is required, select "No Entry" for the account titles and enter 0 for the amounts. Credit account titles are automatically indented when the amount is entered. Do not indent manually.)Date Account Titles and Explanation Debit Credit Jan 1, 2016 Dec 31, 206 3. Repeat the requirements for part (b), assuming Tyler and Walleye agree on a revised set of services (fewer bookkeeping services but more tax services) in the extended contract period and the modification results in a separate performance obligation. (If no entry is required, select "No Entry" for the account titles and enter 0 for the amounts. Credit account titles are automatically indented when the amount is entered. Do not indent manually.)Date Account Titles and Explanation Debit Credit Jan 1, 2016 Dec 31, 2016 need help with this question what is the speed of a car that travels 485 meters in 15 seconds