In the diagram, △RST∼△R′S′T′. Determine the length of RS. Show your work.
100 points!
Answers
Explanation: Since the triangles are similar, we can use the proportion 9/4=(12x+2)/(5x+1).
Cross multiplying 9*(5x+1) and 4*(12x+2) gives us 45x+9=48x+8.
Solving for x gives us 1/3.
You can check your work by plugging in x for the two equations, which gives us 6 (RS) and 8/3 (R’S’)
The scale factor is 4/9 (k) from 9k=4
6*4/9=8/3 and (8/3)/(4/9)=6
Answer:
RS = 6 feetStep-by-step explanation:
Use ratios of corresponding sides:
TS/T'S' = RS/R'S'Substitute and solve for x:
9/4 = (12x + 2)/(5x + 1)9(5x + 1) = 4(12x + 2)45x + 9 = 48x + 848x - 45x = 9 - 83x = 1x = 1/3Find the length of RS:
RS = 12x + 2 = 12(1/3) + 2 = 4 + 2 = 6 feetRelated Questions
Elimination method 10x-4y=-8
-5x+6y=10
Answers
-10x+12y=20
Add it to the first equation
10x-4y=-8
-10x+12y=20
——————-
0x+8y=12
y = 1.5
10x-4(1.5)=-8
10x = -2
x = -1/5
I really need help quickly please!!!!
Answers
Answer:The third one is!!
Step-by-step explanation:
The commutative property of addition says that changing the order of addends does not change the sum. Here's an example: 4 + 2 = 2 + 4 4 + 2 = 2 + 4 4+2=2+4
50 points!
a. Use the Point-Slope form to find the equation of the line through the points (-5, 2) and (-2, 6).
b. Write the equation from part (a) above into the General as well as the slope-intercept form showing every step.
c. Find the x and y-intercepts of the equation above.
Answers
Answer:
a) y = 4/3x + 26/3
b) 4x - 3y + 26 = 0
c) x-int: (-6 1/2, 0)
y-int: (0, 8 2/3)
Step-by-step explanation:
a) to get points into the point-slope form you first find the slope by taking the difference of the y-values over the difference of the x-values;
slope (m) = (6 - 2) / (-2 - -5) = 4/3
plug 4/3 into 'm' and select one of the two points to plug in their 'x' and 'y' values so you can find 'b' (the y-intercept)
y = mx + b
6 = 4/3(-2) + b
6 = -8/3 + b
b = 6 + 8/3 = 18/3 + 8/3 or 26/3 (or 8.67)
so, put it all together to get the p-s form of y = 4/3x + 26/3
b) general equation is Ax + By + C = 0
take y = 4/3x + 26/3 and multiply each side by 3 to remove denominators
you get: 3y = 4x + 26; rearrange to get 4x - 3y + 26 = 0
c) y-intercept is (0, 8 2/3); derived during step (a)
to get x-intercept, plug zero in for 'y' and solve for 'x':
0 = 4/3x + 26/3
-4/3x = 26/3
cross-multiply and get 12x = -78
x = -78/12 or -39/6 or -6 1/2
what is 3/4 of 9 1/4
Answers
Answer:
Im pretty sure that its 3/37
Step-by-step explanation:
3
4
÷
37
4
=
3
4
×
4
37
=
3 × 4
4 × 37
=
12
148
=
12 ÷ 4
148 ÷ 4
=
3
37
sorry if its wrong
The source or origin of a word is called its?
Answers
Answer:
Etymology
the study of the origin of words and the way in which their meanings have changed throughout history.
Step-by-step explanation:
guys i need help on this problem I'm stuck
Answers
Answer:
y=mx+b is slope intercept form
Step-by-step explanation:
letter B :)
m is the slope and b is the y-intercept
10 points and will be marked BRAINLIEST if the answer you give is correct!
Answers
Answer:
the one on the bottom and Lewis made one less of whatever Bryan made
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
bryan- 7x4=28
lewis- 6x4=24
28+24=52
A paint store sells 4 pints of paint for $19.00. How much is one pint of paint?
Answers
Answer:
4.75
Step-by-step explanation:
19/4 = 4.75
Choose the graph of the linear equation 24x + 64y = 384!
?
pls answer fast
Answers
............................
Answer: A the first one
11. Interest earned: $10
Principal: $250
Interest rate: 4%
Time: ?
I just have a test due and can’t get these !!
Answers
Answer:
hello
Step-by-step explanation:
no sé soy nuevo jajajaja
plz help me with this
Answers
Answer:
You do it yourself jk There is a positive linearly accending correlation with an increase of 80 products for every increase of 10 employees respectively.y=8(x)+120initial products are the factory and increase per employeeThe triangles are similar. Complete the similarity statement
Answers
Answer:
ABC
Step-by-step explanation:
Answer:
YZX ~ ABC
Step-by-step explanation:
For Angle Y, there is one curved line, so you must go to the other triangle and find which angle has one curved line too, in this case that is angle A. Then, Angle Z has three curved lines, and in the other triangle, Angle B has three curved lines, so you now have AB, which only leaves C left. So your final answer is ABC.
A company rents out 15 food booths and 23 game booths at the county fair. The fee for a food booth is
$150 plus $4 per day. The fee for a game booth is $95 plus $10 per day. The fair lasts for d days, and all the
booths are rented for the entire time. Enter a simplified expression for the amount, in dollars, that the
company is paid.
The expression is
Answers
Answer:
290d + 245
Step-by-step explanation:
Hello! So what you do first is make two equations, then combine them.
For the food booths, the equation would be 15(4d) + 150
For the game booths, the equation would be 23(10d) + 95
Now simplify them.
Food booths: 60d + 150
Game booths: 230d + 95
Next, we combine the two equations to get one equation.
60d + 150 + 230d +95
Simplify even more...
290d + 245
This is going to be your equation. I don't know the number of days the fair went so I can't go any futher on this question. Hope this helps though!
What is the total area of this composite figure rounded to the nearest hundredth?
29.57 mm 2
19.14 mm 2
17.57 mm 2
31.14 mm 2
Answers
Answer:
choice #4, total=31.14 mm^2
Step-by-step explanation:
14x2=28 is area of rectangle
1^2xPi=area of small circle
3.14=area of small circle
total=31.14 mm^2
Carter went shopping for a new pair of pants. Sales tax where he lives is 3.75%. The
price of the pair of pants is $36. Find the total price including tax. Round to the
nearest cent.
Answers
Answer:
$37.35
Step-by-step explanation:
You find the sales tax by turning 3.65% to 0.0375. Then you multiply that by 36. Then you will get 1.35. You add 1.35 to 36 and get your answer of $37.35.
If 64= a, then a is equal to
Answers
Where are the answers?
PLEASE HELP MEWhich equation can represent the graph
A. Y=-x^2-4
B. Y= -x^2+4
C. Y=x^2+4
D.y=x^2-4
Answers
Answer:
y = - x^2 + 4
which agrees with answer B
Step-by-step explanation:
Notice the graph is that of a quadratic function centered on the y-axis, with negative leading coefficient (branches of the parabola pointing down), and with vertex on the y-axis at the point (0, 4).
Therefore its equation is best represented by:
y = - x^2 + 4
which also crosses the x axis at the points x = -2 and x= 2, in agreement with the graph.
Answer:
B. y = - x²+4
Step-by-step explanation:
I used a calculator to check.
A circular pool has a radius of 10 feet. What is the area of the pool? Use 3.14 for it. The area of the pool is about ft?
Answers
Answer:
314ft^2
Step-by-step explanation:
The area of a circle is found using this equation:
A=3.14r^2
r = radius
so if we know the radius is 10ft, we can put that into the equation and it will read:
A=3.14(10)^2
^2 means squared, for clarification.
Using PEMDAS we know to do exponents first
A=3.14(100)
Now multiply
A=314
and don't forget to add your units and square!
A=314ft^2
Simplify the expression:
(8 - 3)(-7) =
I
Submit
Answers
Answer:
(8-3)(-7) =8×-7=-56 (-3)×(-7)=+21
Step-by-step explanation:
then -56+21= 77
line a y=1/2x+2
line b y= -1/2 x +7
line c y=2x +4
line d y= 1/2x +5/4
which lines are perpendicular
Answers
Answer:
Line b and line c are perpendicular.
Step-by-step explanation:
Perpendicular lines have opposite reciprocal slopes, and -1/2 and 2 are opposite reciprocals.
please help :( i’ve posted like 10 times and need answerers fast but no one can help. will give thanks and mark brainlist
Answers
9514 1404 393
Answer:
BC ≈ 9.6 mi
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relationships between sides and angles in a right triangle.
Tan = Opposite/Adjacent
tan(58°) = BC/(6 mi)
BC = (6 mi)tan(58°)
BC ≈ 9.6 mi
18 cheeseburgers is 45% of how many cheeseburgers?
Answers
Answer:
40 cheesburgers
Step-by-step explanation:
Answer:
40
Step-by-step explanation:
45% is 9/20
18 cheeseburgers is 9/20 of all the cheese burgers
36 cheeseburgers is 18/20 of all the cheeseburgers
40 cheese burgers is 20/20 of all cheeseburgers
42 out of 90 is what percentage?
Answers
I hope this helps.
Answer:46.6%
Step-by-step explanation: multiply 42 by 100 than divide that by 90
What is the answer to the following equation:
[tex]\frac{5}{4} \geq \sqrt[-443]{343434789} \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \alpha \beta x_{1397} \neq 8^{2}[/tex]
thanks[tex]\frac{5}{4} \geq \sqrt[-443]{343434789} \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \alpha \beta x_{1397} \neq 8^{2}[/tex]
Answers
Answer:
bro go0gle is the right answer for this i dont think the smartes person in the world can solve this.
Step-by-step explanation:
During flu season, 16% of the students were out with the flu. If there are 550 students in the school, how many of them were
but with the flu?
Answers
Answer:
The correct answer is 98.
CAP has vertices
C(-3,8),
A(3,-9),
and
P-1,-10).
What are the coordinates of the image of
A after the given composition of tranformations?
Dilation: center (0, 0); scale factor 5,
Translation: (x, y) (x-9,y +11).
Answers
Answer:
[tex]A'' = (6, -34)[/tex]
Step-by-step explanation:
Given (Points)
[tex]C = (-3,8)[/tex]
[tex]A = (3,-9)[/tex]
[tex]P = (-1,-10)[/tex]
Transformations:
Dilation: Center (0,0); Scale factor = 5
Translation: (x, y) --> (x-9,y +11).
Required
Determine the image of A
[tex]A = (3,-9)[/tex]
Apply the first transformation:
i.e. dilation by a scale factor of 5
[tex]A'=A * 5[/tex]
[tex]A'=(3,-9) * 5[/tex]
[tex]A'=(3* 5,-9* 5)[/tex]
[tex]A'=(15,-45)[/tex]
Apply the second transformation:
i.e. translation: (x, y) --> (x-9,y +11).
[tex]A'=(15,-45)[/tex]
[tex]A'' = (15 - 9, -45 + 11)[/tex]
[tex]A'' = (6, -34)[/tex]
Hence, the image of A is (6,-34)
answer please quick i need help i only have 3 mins left
Answers
Answer:
70/100 ⋅ 80
0.7 ⋅ 80
7/10 ⋅ 80
Step-by-step explanation:
Brainliest please??
Find the measure of
answer fast pls! <3
+10pts
Answers
Answer:
∠A = 88°
Step-by-step explanation:
= 180° - (50° + 38°)
= 180° - 88°
= 92°
∠A + 92° = 180°
∠A = 180° - 92°
∠A = 88°
What is 674.649 rounded to the nearest tenth
Answers
Answer:
674.6
Step-by-step explanation:
If the hundreths place is 4 or less, then you stay the same in the tenths place, if it is 5 or more, you go up 1 in the tenths place
Please help!!!!!! AAA
Answers
Answer:
D is correct
Step-by-step explanation:
1/12^3