5. Justify the last two steps of the proof.
(4 points)
Given: RS UT and RT US
Prove: ARST AUTS
T
0
Proof:
1. RSU
2. RT & US
3. ST & TS
4. ARST AUTS
1. Given
2. Given
3. ?
4. ?
E
Answers
Answer:
ST & TS are congruent
RST and UTS are congruent
Step-by-step explanation:
The question is not properly presented; however, I've added an attachment to give a clear picture of the question.
Required
State the property that justifies:
[tex]ST = TS[/tex]
Triangles [tex]RST = UTS[/tex]
From the question, we have that:
[tex]RS = UT[/tex]
[tex]RT = US[/tex]
In plane geometry, the length of ST is still the same as the length of TS.
This implies that:
[tex]ST = TS[/tex] because ST is congruent to TS
Moving further to determine the relationship between triangles [tex]RST\ \&\ UTS[/tex]
Comparing both triangles:
They have a similar side ST and TS because [tex]ST = TS[/tex]
And we also have that: [tex]RS = UT[/tex]
So, we can conclude that: [tex]RST = UTS[/tex] because they are congruent
Your question isn't 100% clear to me but I did my best:
1. RS = UT Given
2. RT = US Given
3. ST = TS Reflexive Property of Congruence
4. RST = UTS SSS (Side-Side-Side)
Related Questions
Which function rule models the function over the domain specified in the table below?
x
f(x)
–7
–11
–1
1
3
9
4
11
7
17
f(x) = 3x + 10
f(x) = 2x + 3
f(x) = 4x + 5
f(x) = 3x – 10
Answers
Answer:
f(x) = 4x + 5
Step-by-step explanation:
Answer:
c
Step-by-step explanation: edge 2020
Please answer see the image, please
Answers
Answer:
37.7Step-by-step explanation:
perimeter of semicircle = 1/2 π d
= 1/2 π (6)
= 9.425 x 4 semicircles
= 37.7
What is 2/{3}{8} + 10/{4}{5}?
Answers
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[tex] \frac{2}{3 \times 8} + \frac{10}{4 \times 5} = \\ [/tex]
[tex] \frac{2}{2 \times 4 \times 3} + \frac{2 \times 5}{2 \times 5 \times 2} = \\ [/tex]
[tex] \frac{1}{4 \times 3} + \frac{1}{2} = \\ [/tex]
[tex] \frac{1}{12} + \frac{1}{2} = \\ [/tex]
[tex] \frac{1}{12} + \frac{1 \times 6}{2 \times 6} = \\ [/tex]
[tex] \frac{1}{12} + \frac{6}{12} = \\ [/tex]
[tex] \frac{1 + 6}{12} = \frac{7}{12} \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Answer:
I'm pretty sure your question is supposed to look like this [tex]\frac{2}{38}+\frac{10}{45}[/tex] so the answer is [tex]\frac{47}{141}[/tex] or [tex]\frac{1}{3}[/tex] when simplified
Step-by-step explanation:
hope this helps :)
Try using Symbolab, I use it all the time it gives correct answers and it gives good explanations.
A restaurant offers a $12 dinner special that has 6 choices for an appetizer, 13 choices for an entrée, and 5 choices for a dessert. How many different meals are available when you select an appetizer, an entrée, and a dessert?
Answers
Answer:
Step-by-step explanation:
12+6+13
536-248 answer and show your work
Answers
Answer:
288
Step-by-step explanation:
288+248=536
Mr. Trueword cut a roll of paper into 9 pieces.
Each piece was 3 1/3
meters long. How long was
the roll of paper?
Answers
Answer:
30
Step-by-step explanation:
9 times 3 1/3
can I have brainlest if I'm right?
A positive number with divisors besides 1 and itself is called
Answers
Answer:
it is called a perfect number
ben used 124.7 pounds of gravel in his front yard 110.7 pounds in his back yard.how many more pounds of gravel does ben use in his front yard than his back yard
Answers
Answer:
30.1
Step-by-step explanation:
it is subtraction because it is asking how many more pounds of gravel does Ben use in his front yard than his back yard and his front yard has a bigger number so you subtract.
136.2-106.1= 30.1
Give an example of a function F(x) that is an antiderivative of f(x) = 9 cos(9x)+ 3x^2
Answers
We are integrating f(x) = 9cos(9x) + 3x²: [tex]\int\ {9cos(9x)+3x^{2} } \, dx[/tex]
a) Apply the sum rule
[tex]\int\9cos(9x)} \, dx +\int\ 3x^{2} } \, dx[/tex]
b) Calculate each antiderivative
First integral
[tex]\int\ {9cos(9x)} \, dx[/tex]
1. Take out the constant
[tex]9\int\ {cos(9x)} \, dx[/tex]
2. Apply u-substitution, where u is 9x
[tex]9\int\ {cos(u)\frac{1}{9} } du[/tex]
3. Take out the constant (again)
[tex]9*\frac{1}{9} \int{cos(u)} du[/tex]
4. Take the common integral of cos, which is sin
[tex]9*\frac{1}{9}sin(u)}[/tex]
5. Substitute the original function back in for u and simplify[tex]9*\frac{1}{9} sin(9x) = sin(9x)[/tex]
6. Always remember to add an arbitrary constant, C, at the end
[tex]sin(9x) + C[/tex]
Second integral
[tex]\int3x^{2} } \, dx[/tex]
1. Take out the constant
[tex]3\int{x^{2} } \, dx[/tex]
2. Apply the power rule, [tex]\int{x}^{a} \, dx =\frac{x^{a+1} }{a+1}[/tex], where a is your exponent
⇒ [tex]3*\frac{x^{2+1} }{2+1} = x^{3}[/tex]
3. Add the arbitrary constant
[tex]x^{3} + C[/tex]
c) Add the integrals
sin(9x) + C + x³ + C = sin(9x) + x³ + C
Notice the two arbitrary constants. Since we do not know what either constant is, we can combine them into one arbitrary constant.
Answer:F(x) = sin(9x) + x³ + C
Answer:
[tex]g(x)=sin(9x)+x^3+C[/tex], choose a constant that is any number you want for C
Step-by-step explanation:
So we have a function, [tex]f(x)=9cos(9x)+3x^2[/tex] An antiderivative is also called an integral, so to find the antiderivative of f(x) we find the integralso we will say g(x) is equal to the integral (antiderivative) of f(x)Then [tex]g(x)=\int\ {(9cos(9x)+3x^{2}) } \, dx[/tex] Which can be written as [tex]g(x)=\int\ {9cos(9x)} \, dx +\int\ {3x^{2} } \, dx[/tex] So let's do the first part integral [tex]\int\ {9cos(9x)} \, dx[/tex] which can be written as [tex]9*\int\ {cos(9x)} \, dx[/tex] Then we use u substitution integration, and [tex]u=9x,\frac{du}{dx} =9,dx=\frac{1}{9}*du[/tex] so we replace dx and 9x so that [tex]9*\int\ {cos(9x)} \, dx =9*\int\ {\frac{1}{9}cos(u) } \, du=9*\frac{1}{9}*\int\ {cos(u)} \, du[/tex] Leaving [tex]\int\ {cos(u)} \, du=sin(u)+C[/tex] then replace u with 9x, so [tex]sin(9x)+C[/tex]Now for the second part integration[tex]\int\ {3x^2} \, dx =3 *\int\ {x^2} \, dx=3*\frac{x^{2+1}}{2+1}+C=3*\frac{x^{3}}{3}+C=x^3+C[/tex] so [tex]g(x)=sin(9x)+C+x^3+C=sin(9x)+x^3+C[/tex] so [tex]g(x)=sin(9x)+x^3+C[/tex] is a general solution antiderivative to f(x)20!! points see the image please help as fast as possible please 20!
Answers
Answer:
67.7Step-by-step explanation:
perimeter = semicircle (x2) + rectangle side (x2)
= 1/2 π 12 (x2) + 15 (x2)
= 37.7 + 30
= 67.7
find the missing length
Answers
Answer:
Step-by-step explanation:
it should be 116
Stephanie claims that 26540is greater than 50. Do you agree or disagree? Explain.
Answers
Answer:
I disagree, because 26540 is bigger then 50
MATH............................................................
Answers
Answer:
For A its 10 Feet because if each unit is 5 feet and there are 2 units then its 10 feet and then B is 35 because seven units means 5 x 7 then 35feet is the answer
Step-by-step explanation:
Answer:a. 10 ft
b. 35 ft
Step-by-step explanation:
A. Count the lines between slide and fountain, there are 2 lines and multiply by 5ft that is the distance in each lines, the result is 2x5ft=10ft
B. The distance of the fountain to the swings are 7 lines. 7x5ft= 35ft
If $250 is invested at an interest rate of 12% per year, compounded biannually, how much will the investment be worth at the end of eight years? Round
your final answer to the nearest hundredths place.
Formula: A = P(1+")nt
n
Answers
Answer:
2563
Step-by-step explanation:
Kgr7q wtbej iw ku3yf kuey wuyr icnt gje eruyg eurygb ekuv ekght kicu dkyg
Name the angles below.
Answers
Answer:
it's a obtuse angle...
The difference between a number and 25
Answers
Answer:
x-25
Step-by-step explanation:
the number is x and the subtraction is the difference
How do multiplication facts help me divide? Give an example.
Answers
Answer:
it could help you so you don't have to count on your fingers
Step-by-step explanation:
5 divided by 2
5 times 2 = 10
so your answer would be 2
find the equation of the line m=6 and b=-7 in slope intercept form
Answers
Answer:
y = 6x - 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + b ( m is the slope and b the y- intercept )
Here m = 6 and b = - 7 , thus
y = 6x - 7 ← equation of line
Describe some main differences between an Euler graph and a tree graph.
Answers
Answer:
The Obvious
Euler graph all connects almost like a circle
A tree graph looks like it branches off each other with no line connect in a circle like form
The cost for a company to produce a part for d days is represented by the function
f(d) = 325d +8,795.
What does the value 8,795 represent in this situation?
Options: each day,the total cost decreases by $8795 or each day the total cost increases by 8795 or the initial cost is 8795 or the total cost to produce a part for d days is 8795...plz help
Answers
Answer:
Hi,
The equation of a linear function has the following format:
[tex]y = mx + b[/tex]
Where represents the value of for when is equal to zero.
Therefore, 8795 can be considered the initial value for production.
Step-by-step explanation:
The graph of a linear function is the same as the example below:
As noted in the figure, the value of [tex]b[/tex] provides the value of [tex]y[/tex] when [tex]x[/tex] is null. This is also called the linear coefficient of the line (or intercept)
The value of [tex]m[/tex] represents the rate of change of the function and is linked to the slope of the line.
Any questions just ask in the comments.
Since the equation given is f(d) = 325d +8,795, the value that 8,795 represent in this situation is the initial cost.
The given equation in this case is f(d) = 325d +8,795, it should be noted that 8795 is the fixed cost. On the other hand, the expression 325d represents the variable cost.
325d means that the cost will increase each day by that amount. Therefore, the value that 8,795 represents in this situation is the initial cost.
Read related link on:
https://brainly.com/question/13151761
simpifly 49/84
...........
Answers
Answer:
7/12
Step-by-step explanation:
Divide both the numerator & denoniminator by 7.
49 / 7 = 7
84 / 7 = 12
7/12
Answer: 7/12
Step-by-step explanation:
please help asap!!!!!!!!!!
Answers
Answer:
(4t)
Step-by-step explanation:
Hope this helps
5 is the exponent
Someone help me please
Find the measure of 0.(to the nearest tenth)
Answers
Answer:
Y
Step-by-step explanation:
Yes
Lauren is replacing a door that measures 80 inches by 39. What is the distance between opposite corner of the door
Answers
Answer:
Step-by-step explanation:
x² = 80² + 39²
x² = 6400 + 1521
x² = 7921
x = 89 inches
so who's going to do this aka the queen / King Master
Answers
What number is being factored in this factor tree? A. 72 B. 180 C. 216 D. 324 Whoever gets right gets 50 points and Brainliest
Answers
Answer:
im pretty sure its A
Step-by-step explanation:
Hope this helped!
Answer:
B?
Step-by-step explanation:
Hope it helps and thank you
I know this isn’t a math problem but it is a serious question about math.
Would Practical math be easier than pre-Calc/trigonometry?
I looked up what practical math was and it seems to be like real-world problems and really long equations, and that is something I struggle with the most because I end up lost a confused but is it as bad as it sounds??? And if it is that bad is it better than pre-calc/trigonometry.
I’m starting my fall semester soon and I would like to know which I should choose
(If it helps I got a C in Algebra 2 from “studying” some answers on here mainly because I was to far behind is lessons to actually learn....but once I get something in math it is easy for me to get it done) ((sorry this is so long))
Answers
Answer:
I live in Ireland and I take on additional maths as part of my course (extra maths). In my course we do a mix of pre calc and practical. Personally I find them both okay but I think practical math would get quite hard and boring if you dont like it. If u already find it boring, it's probably going to be harder to understand and like. I would recommend doing pre calc as u still do some equations but it's a good mix. it's totally up to u tho good luck! ♡
Each of the points $A, B, C, D, E,$ and $F$ in the figure below represents a different digit from 1 to 6. Each of the five lines shown passes through some of these points. The digits along each line are added to produce five sums, one for each line. The total of the five sums is 47. What is the digit represented by $B$ ?
Answers
Answer:
(E) 5Step-by-step explanation:
Refer to picture
Calculating sums, we get a result of:
2A + 3B + 2C + 2D + 2E + 2E = B + 2(sum of all digits) = 47Sum of all digits is:
1 + 2 + 3 +4 + 5 + 6 = 1/2*6*(1 + 6) = 21Considering this in the equation above, we get:
B + 2*21 = 47B = 47 - 42B = 5Correct answer is (E) 5
Graph the line that contains the point (-3,1) with a slope of 2/3
Answers
Answer:
The graph of the line that contains the point [tex](-3,1)[/tex] with a slope of 2/3.
Step-by-step explanation:
As the line contains the point (-3, 1) with a slop 2/3
Given the slop-intercept form of the line equation
y = mx+b
Here,
m = slopeb = y-interceptSubstituting the values in the slop-intercept form of the line equation
[tex]y = mx+b[/tex]
[tex]1 = \frac{2}{3} (-3) + b[/tex]
[tex]1 =- 2 + b[/tex]
switching sides
[tex]-2+b=1[/tex]
[tex]b=3[/tex]
Now Substituting the value of [tex]b=3[/tex] in the slop-intercept form of the line equation
[tex]y = mx+b[/tex]
[tex]y=\frac{2}{3} x+3[/tex]
Hence, the line of the equation will be: [tex]y=\frac{2}{3} x+3[/tex]
Therefore, the graph of the line that contains the point [tex](-3,1)[/tex] with a slope of 2/3.
Team Crusty make pies at a pie-baking competition. They baked 28 pies in 8 hours. How many pies per hour did they bake
Answers
Answer:3.5 pies
Step-by-step explanation:
Team Crusty = 28 pies / 8 hours = 3.5 pies per hour.
Hope This Helped!
:D