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.
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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.
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Hangi sayının 10 eksiğinin 7 katı 70'tir ?
Please help with this it is due today
Answer:
24
Step-by-step explanation:
You have 49 dimes and quarters. You have 7 more quarters than dimes.How much money you have in quarters and dimes
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!
Which equation correctly uses the law of cosines to solve for the length s?
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.
can someone help me how to calculate 15% of R200
Answer:
30
Step-by-step explanation:
formula :15÷100×200
Solve the pair of linear equations....
Please help me by solving this!
What value of x makes the equation below true 5(x − 8) + 26 = −9? A 1 B -1 C 15 D -15
how can you tell the difference between circumcenter and incenter?
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
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
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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?
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.
6x² + 4x / 6x² + 13x + 6 ( please show work )
Answer: 6x+4x +13x+6 equal
[tex] \sqrt{ x} = \sqrt{2} + 1 \: then \: x = [/tex]
helpppp asap
edit:help guys i have examm
Answer:
3+2√2Step-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
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.
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?!?!
Simplify the following
(1 1/2) ^-2
Answer:
1/2.25 or 4/9
Step-by-step explanation:
Help am i correct please Ehejahrs
if I have 100 baskets and I have 400 hundred apples how many apples will go into each basket
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
8th grade math. Solve and check. 2x + 3x + 5 = 4(x - 2)
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
Which statement is true for brainliest
Answer:
<A≅<Z
Step-by-step explanation:
Hope This Helps!
BRAINLIEST GOES TO THE CORRECT ANSWER!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
11.99
Step-by-step explanation:
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
Answer:
V = four-thirds pi r cubed = four-thirds (3.14) (9) cubed
Step-by-step explanation:
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)
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.
What is the slope of the linear equation represented by the table. NEEDED PLSS
Answer:28/4
Step-by-step explanation:
Change of y over the change of x.
Y is +28
X is +4
Solve -3.5=x-4 for x using the multiplication propertiy of equality
Answer:
Hello! :) have a good day!
X= 0.5
Answer:
x = 0.5
Step-by-step explanation:
A jungle has 578 monkeys.
It also has 153 birds.
How many more monkeys than birds are there?
Monkeys
X Х $ ?
Answer:
425 monkeys
Step-by-step explanation:
Subtract the number of birds from the number of monkeys to find the difference between the two.
GIVING BRAINLIEST IM TIMEDDDD
Answer:its the 2nd one
Step-by-step explanation: i remeber because i took this quiz
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.
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.
:))
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?
Answer:
18
Step-by-step explanation:
3x6
Simplify: i^69
Please help fast
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?
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.
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
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.