100 points.
My teacher asked for me to specify which two theorems I used. And I don't know. Here is my work can someone help please.
Isosceles Right Triangle Reflection to prove ASA Congruence
1. Answer the following questions:
A. What line of reflection did you choose for your transformation?
- I used the y-axis as my line of reflection.
B. How are you sure that each point was reflected across this line?
- I am sure because the sides are all opposite, but the numbers stayed the same.
C. What reflection rule did you apply to your triangle?
- (x, y) ➟ (-x, y)
2. What other properties exist in your triangle? Discuss at least two theorems you learned about in this module that apply to your triangle. Make sure to show evidence by discussing your triangle's measurements.
- I learned that if two sides of my triangle are congruent then the angles opposite of them are congruent as well. The third angle is 90 degrees.
3. Did your triangle undergo rigid motion? Explain why.
- Yes, it did. It did because the distance and position stayed the same while the points and the plane moved.
Answers
Answer:
Actually you did everything right
Step-by-step explanation:
yes
This question requires proving congruency of triangles in a given co-ordinate system we by use of ASA(angle side angle) theorem.
Types of triangles and it's properties.An isosceles right angle triangle has two equal sides and the corresponding angles will also be equal it will be of 45° - 45° - 90°.
The hypotenuse will be [tex]\sqrt{2}[/tex] times of the equal sides.
A. We have chosen x-axis as a line of refection.Reflection along x-axis idicates rotation of 180° along x axis.
B. We are sure that each point is reflected accross this line because base has same magnitude but the signs have changed and rotation along x-axis doesn't change the value of y co-ordinate.
C. Rotaion along X-axis by 180°.
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Related Questions
The perimeter of a rectangular field is 60 meters. Its area is 200 square meters. Find its dimensions.
Answers
Answer:
20 m by 10 m
Step-by-step explanation:
let w be width and l be length , then
2(l + w) = 60 ( divide both sides by 2 )
l + w = 30 ( subtract w from both sides )
l = 30 - w → (1)
lw = 200 → (2)
Substitute l = 30 - w into (2)
w(30 - w) = 200 ← distribute parenthesis on left side
30w - w² = 200 ( subtract 200 from both sides )
30w - w² - 200 = 0 ( multiply through by - 1 )
w² - 30w + 200 = 0 ← in standard form
(w - 10)(w - 20) = 0 ← in factored form
Equate each factor to zero and solve for w
w - 10 = 0 ⇒ w = 10
w - 20 = 0 ⇒ w = 20
Substitute these values into (1)
l = 30 - 10 = 20
l = 30 - 20 = 10
dimensions of field is 20 m by 10 m
Answer:
THIS IS THE REPRENTATION :I(LENGTH ),W(WIDTH)
2IW= 200
I,II USE THE SUBSTITUTION METHOD SINCE :I=30-W WE CAN SUBSTITUTE THE LENGTH TO 30
-W TO IW=200
(30-W)W=200
W2 + 30W=200---------------TRANSPOSE -w2
+30w
w2-30w +200 = 0------------------- USE FACTORING
(W-20)(w-10 =0----------------- THEN EQUATE EACH FACTOR TO ZERO
W- 20=0 W-10 =0
W=20 W=10
THEN SUBSTITUTE THE VALUE OF w TO ANY OF THE EQUATIONS TO GET THE VALUE OF I
Iw =200 Iw=200
I(20) =200 I(10)
I(20)/20= 200/20 I(10)/10
=200/10
I=10
SO the answer to the problem are: width = 20 then lenght =10 or width = 10 then lenght =20A stallholder at the weekend market buys 10kg of broken chocolate pieces for $45. She puts them into smaller plastic bags of 250g and sells them for $1.50. Find the percentage profit.
Answers
Step-by-step explanation:
CP=45
SP= 1.5 X 10,000/250
THEREFORE SP=60
PROFIT=15
PROFIT % =(PROFIT/CP) X 100
(15/45) X 100
=33.3%
PLEASE ANSWER BRSINLEST BRAINLEST ANSWER NOW PLEASE DUE!
Stacy likes to do aerobics 10 hours a week to stay in shape. She tracks the amount of time she does aerobics each week relative to her goal.
The table shows the data for the last five weeks.
Week 1 2 3 4 5
Aerobics time (hours) 2.8 −2 1 3/4 0 −3
What is the average aerobics time per week for Stacy relative to her goal number of hours?
Drag a value to the box to complete the statement.
PLease explain it too if you can
Answers
Answer:
-0.09
Step-by-step explanation:
2. The bank requires a minimum balance of $50 in the
savings account. It does not matter how much money
is kept in the checking account.
If the customer deposits no money in the checking
account but is able to maintain both accounts without
penalty, what can you say about the amount deposited
in the savings account
Answers
The temperature at 9 p.m. was 12°F. The temperature dropped 15°F by 5 a.m.
The temperature at 5 a.m. was
Answers
Answer:
-3 F'
Step-by-step explanation:
12 - 15 = -3
2. Solve the system by graphing or using a table.
2x + 4y= 12
X+ y = 2
(-3,7)
(-2,4)
(-4,1)
infinitely many solutions
Answers
Answer:
x = -2 and y = 4
Step-by-step explanation:
We have given a system of equations
2x + 4y =12 ...........(1)
and
x + y = 2 .............(2)
Now to plot them in graph we need to find the points of the above linear equations .
From equation 1 ,we get
4y=12-2x
[tex]y=\frac{12-2x}{4} \\y=3-\frac{x}{2} \\[/tex]
Put x=0, then
[tex]y=3-\frac{0}{2} =3\\[/tex]
Put x=6
[tex]y=3-\frac{6}{2}=3-3=0[/tex]
So get the points (0,3) and (6,0).
From equation 2 ,we get
y=2-x
put x=0
y=2-0=2
put x=2
y=2-2=0
So we get the points (0,2) and (2,0).
So after plotting these points we get two lines intersecting at (-2,4).
Therefore our solution is x=-2 and y= 4.
I WILL GIVE 30 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOO SCAMS
Answers
Answer:
the answer is D
Step-by-step explanation:
sorry if I did it wrong
Answer:
D. Yes because the sum of two lengths of any two sides...etc.
This is your answer
Step-by-step explanation:
side1 m = 3
side2 m = 7
2 smaller sides = ( 3 + 7) = 10
10 is larger than 8
proof Pythagoras theorem
3^2 + 7^2 = c^2
sqrt 9 + sqrt 49 = c^2
c^2 = sqrt 58 = 7.6 = 8 rounded to 1 significant figure.
Proof 2
show ratios of each side 3 : 7 : 9
The circumradius of a cyclic polygon is a radius of the circle inside which the polygon can be inscribed. The height can sometimes be such radius but this should be proved from the equation height of a triangle equation
isosceles not using Pythagoras = hᵇ = √ (a² - (0.5
isosceles using Pythagoras= h = 2 * area / b
obtuse height formula =Area of an obtuse-angled triangle = 1/2 × base × height. Therefore, the height of the obtuse triangle can be calculated by: Height = (2 × Area)/base Substituting the values, we get:.
So as we know Given a=3 and c=8, shows a higher amount for 7 but stays 7 in all circumstances of 1significant figure just like 8 stayed rounded down when using round figure just 7. We get;
b = 7.4162
∠α = 22.024° = 22°1'28" = 0.3844 rad
∠β = 67.976° = 67°58'32" = 1.1864 rad
h = 2.78107
area = 11.1243
perimeter = 18.4162
inradius = 1.2081
circumradius = 4
When the circumradius is 4 and we need the ratio to the inradius
this means the ratio is R : r as;
3/4 :7/4 : 8/4 = 18/4 / 7/2 = 9/7 which shows us the cr radius to the in radius ratio.
R:r therefore = 9/7
Identify two statements that contradict each other.
I. ZM is an obtuse angle.
II. m ZM +mZP= 90
III. 180 – mZM = 25
IV. mZP= 120
Answers
If ZM is an obtuse angle (greater than 90), then ZM and ZP will not add up to 90.
If ZP is 120, then ZM and ZP will not add up to 90.
There are multiple contradicting statements within this problem, as noted above.
Hope this helps!
Options A and B are two contradict statements.
The four statement are given, we need to find the two contradict statements.
What is an obtuse angle?The definition of an obtuse angle in geometry states that 'an angle whose measure is greater than 90° and less than 180° is called an obtuse angle.
Here, m∠M is an obtuse angle and m∠M +m∠P= 90° are two contradict statements
Since, in m∠M +m∠P= 90° two angles adds up to 90°, so m∠M can not be obtuse angle.
Therefore, options A and B are two contradict statements.
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Help me on this please help it’s due
Answers
Answer:
hi hi hi hi hi hi hi hi hi hi hi hi hi
Consider all rectangles with an area of 200m^2. Let x be the length of one side of such a rectangle. Find the dimensions of a rectangle whose perimeter is 70m.
Answers
Answer: Answer in Photo
will mark as brainliest plz help
Answers
BC = BD
Step-by-step explanation:
AC = AD
because AB bisect ∠A or
∠CAB = ∠BAD
∴ So, BC = BD
Convert 3009 inches to yards,feet and inches. (Show your work)
Answers
Answer:
Yards: 83.58
Feet: 250.75
Inches: 3009
Step-by-step explanation:
Yards: 1 yard = 36 inches
3009/36= 83.58
So if each yard is 36 inches and there are 83.58 sets of 36 inches in 3009 then that's how many yards you have.
Feet: 1 foot = 12 inches
3009/12= 250.75
Again, if each foot is 12 inches and there are 250.75 sets of 12 inches in 3009 then that's how many feet you have.
Inches: It's already in inches :)
I hope this isn't confusing and I could help!
Answer:
Yards : 83.5833333 Feet:250.75 Inches: 9
Which box of cereal is the better value for money?
You must show our working.
Answers
Answer:
first one is a answer me I think it is a right to me
A certain forest covers an area of 2,000 square kilometers. Suppose that each year this area, decreases by 6%. What is the equation that best represents the area of the forest each year?
Hint: Use the formula y = P(1 + r)x.
y = 2,000(0.94)x
y = 2,000(1.06)x
y = 2,000(0.06)x
y = 2,000(1.94)x
Answers
Answer:
y = 2,000(0.94)x
Step-by-step explanation:
f(x) = P (1 + r) ^x
P = 2000
r = -0.06
f(x) = 2000 (1 - 0.06)^x
= 2000 (0.94)^x
how to to right a*a*c*c using exponents
Answers
Answer:
[tex]a*a*c*c=a^2×c^2[/tex]
Step-by-step explanation:
Thanks!!!!!!!
For the return trip, Moses suggests taking a shortcut that will save 4 miles from the total 40-mile hiking distance. He calculates that they will need to average 6 miles per day over the 4 days coming back, because - 4 - 6. Is Moses correct?
Answers
Answer:
bvlo
Step-by-step explanation:
gv
Classify the triangle. Find the value of x
Answers
Answer:
x= 9
Step-by-step explanation:
<2 + 40 + 40 = 180 degree
<2 = 180 - 40 - 40
<2 = 100
m<2 = x + 109
x = 109 - <2 = 109 - 100 = 9
Explanation: A triangle has 180° and since 2 angles are 40° (Isosceles triangle) we can do: 180-40-40 which equals 100. Angle 2 equals 100 so we can plug that in to the equation of:
100= x + 109
-109 -109
-9 = x
please help using the pythagorean theorem !!!!!
Answers
Answer:
13
Step-by-step explanation:
h^2=5^2+12^2
h^2=25+144
h^2=169
h=sqr169
h=13
Answer:
13
Step-by-step explanation:
by Pythagorean theorem a²+b²=c²
a=5, b=12, c=AC
5²+12²= 25+144
=169
c²=169
c=✓169
=± 13 ( but length could only be positive)
AC=13
In the room there are 5 big boxes. In each box there are 3 smaller boxes. In each of these small boxes the are 4 smaller boxes.How many boxes of different sizes are there in the room?
Answers
Answer:
Step-by-step explanation
there are 80 boxes in total
i just wanna say i hope your having a good day! and you are enough! keep going u got this!
Answers
aww,thank you ^^
i hope you're having a good day as well
Answer:
thank youuu
Step-by-step explanation:
write equation in slope intercept form(7,4) and (-5,-4)
Answers
m = change in y/ change in x
m = (4 - -4)/(7 - -5)
m = 8/2
m = 4
Find the y intercept by plugging in one coordinate for x and y, I will use (7,4) but it doesn’t matter:
y = mx + c
y = 4x + c
4 = 4(7) + c
4 = 28 + c
4 - 28 = c
c = -24
3. The equation of the line is y = 4x - 24
if r= 5 what is
|-r| - -r + |r| - |r|
Answers
-5+-5=0
0+5=5
5+5=10
Answer:
If r = 5, then:
(-5) - (-5) + (5) - (5) = 0
First, subtract -5 from -5 to get 0. Next, add 0 to 5 to get 5. Lastly, subtract 5 from 5 to get 0.Always remember order of operations (PEMDAS)
Hope this helps :)
HELP!! PLS for points
Answers
Answer:
the vertex form is y= -2(x-4)^2+8 (the third one)
Warren runs races to support local charities. In April, he ran a 5-kilometer race in 30 minutes to support his local hospital. In October, he will run a 10-kilometer race to support the animal shelter. If he runs at the same rate, how many minutes will it take Warren to run the race in October?
Answers
Warren ran 10 km in 60 minutes or 1 hour.
What is proportionality?Proportionality is a case when two ratios are equal.
Given that Warren runs for charity, so, he runs for a hospital a 5-kilometer race in 30 minutes, on the same rate he ran a 10-kilometer race to support the animal shelter.
We need to find the time taken by him when he ran 10 km race.
Since, the rate of running is same, that means the speed was equal in both races,
Let t be the required time,
Therefore, using the concept of proportionality,
5 / 30 = 10 / t
5t = 300
t = 60
Therefore, he ran 10 km in 60 minutes or 1 hour.
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Je veux une reponse ❤️
Answers
Answer:2
Step-by-step explanation:
A Price of a sweater was reduced from $40 to $25. By what percentage was the price of the sweater reduced?
Answers
40 to 25 is 15.
4-10
8-20
12-30
16-40
Meaning 15 is more than 30 less than 40.
Then just do 15/4 is 3.75 so 37.5%
So it has been reduced by 37.5%
pls help me ill give brainliest :)
Answers
Can someone help me? This is soo hard
Answers
Answer:
m∠ ACB = 60°
Step-by-step explanation:
If AB║CD if m∠
For a two-days rental at the surf shop it cost $45 to rent a surfboard and $60 to rent a paddleboard on a certain weekend the surf shop rented 44 total surfboards and paddle boards and made $2265 how many paddle boards were rented
Answers
Answer:
Step-by-step explanation:
gg
The graph of linear function f passes through the point (1, -8) and has a slope of 2. What is the zero of f?
A. -2
B. -5
C. 2
D. 5
Please help me
Answers
Answer:
5
Step-by-step explanation:
Answer:D-5
Step-by-step explanation: