Consider the diagram.
Line l is a perpendicular bisector of line segment R Q. It intersects line segment R Q at point T. Line l also contains point S. Line segment R S is 3 x + 2. Line segment S Q is 5 x minus 8.
What is QS?
2 units.
5 units.
17 units.
33 units.
Answers
Answer:
A on edge
Step-by-step explanation:
:)
A triangle is a three-edged polygon with three vertices. The length of QS is equal to 17 units.
What is a triangle?A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.
Given that the Line l is a perpendicular bisector of line segment RQ and bisects it at point T. Therefore, the length of the two lines is,
RT = QT
Now, in ΔRST and ΔQST,
RT ≅ QT
ST ≅ ST {Common side}
Now, since the two triangles are the right-angled triangle, therefore, the two triangles are congruent. Thus, we can write,
RS = SQ
Given that the Line segment, RS is 3x+2. Line segment SQ is 5x-8.
RS = SQ
3x + 2 = 5x - 8
2 + 8 = 5x - 3x
10 = 2x
x = 5
QS = 5x - 8
= 5(5) - 8
= 25 - 8
= 17 units
Hence, the length of QS is equal to 17 units.
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Related Questions
What is the difference between Surface Area and Lateral Surface Area?
Answers
Answer:
The total surface area of a solid is the sum of the areas of all of the faces or surfaces that enclose the solid. The faces include the tops and bottoms (bases) and the remaining surfaces. The lateral surface area of a solid is the surface area of the solid without the bases.
Step-by-step explanation:
find the area bounded by the Curves y=4-x² and y
Answers
The area bounded by the Curves y=4-x² and y = 2x + 1 is 10 1/3 units.
What is area?Area is the amount of space occupied by a two dimensional shape or object.
y = 4 - x² and y = 2x + 1
4 - x² = 2x + 1
x² + 2x - 3 = 0
(x + 3)(x - 1) = 0
x = -3; or x = 1
The area (A) is given by:
[tex]A=\int\limits^1_{-3} {x^2+2x-3} \, dx \\\\A=10\frac{1}{3}[/tex]
The area bounded by the Curves y=4-x² and y = 2x + 1 is 10 1/3 units.
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Which of the following is described below?
This object is infinitely small. It is
comprised of a single location.
B. Line
A. Point
D. Plane
C. Ray
Answers
Answer:
A. Point
Step-by-step explanation:
A point is infinitely small and comprised of a single location.
hope this helps!! p.s. i really need brainliest :)
The object that is infinitely small among the option is a point. Option A is correct.
What is standard measurement?All over the world, most things are in use as of common quantity, so people all over the world agree that they have to follow a common system of measurement and that the common system of measurement is called standard measurement.
Here,
The object that is infinitely small among the option is a point. Because there is no instrument that can measure the point. Since a point is nothing but a demonized dot. While line, ray, or plane are infinitely long and their measure can be possible.
Thus, the object that is infinitely small among the option is a point. Option A is correct.
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Which is the graph of x2 − y2 = 16?
Answers
Answer:
see attached
Step-by-step explanation:
When the signs of the x^2 and y^2 terms of a relation quadratic in both x and y are different, the relation represents a hyperbola. The graph of the hyperbola is shown in the attachment.
__
If the signs are the same, the relation represents an ellipse. If the coefficients of the squared terms are also the same, then that ellipse is a circle.
What is Barbara's net worth if her assets total $19000, her gross income is $60000, her student loan debt is $28000 (she has no other debts), and her annual expenses (including taxes) total $46000?
Answers
Answer:
calculator
Step-by-step explanation:
I need help on this question can someone help.
Answers
Answer:
G. (8,6)
Step-by-step explanation:
remember that EF is four times the length of DE
so the distance between E and D multiplied by 4 should equal F
The table shows the location and magnitude of some notable earthquakes. How many times more energy was released by the earthquake in Peru than by the earthquake in Italy? Use the given equation for comparing earthquake intensity level and magnitude.
Answers
Using the given logarithmic equation, it is found that 158.5 more energy was released by the earthquake in Peru than by the earthquake in Italy.
How many times more energy an earthquake releases than another?According to the logarithmic function given in the problem, the ratio between the amounts of energy released is given by:
log r = M1 - M2
In which M1 and M2 are the magnitudes.
In this problem, considering the earthquakes in Peru and Italy, the magnitudes are M1 = 8.1, M2 = 5.9, hence:
log r = M1 - M2
log r = 8.1 - 5.9
log r = 2.2
[tex]10^{\log{r}} = 10^{2.2}[/tex]
r = 158.5
158.5 more energy was released by the earthquake in Peru than by the earthquake in Italy.
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what is is the volume of a box with 3 inches long 1 inch wide and 5/3 inch tall
Answers
Answer:
5 inches cubed
Step-by-step explanation:
Use the formula for volume: V = length * width * height, and plug in the values. V = 1 * 3 * 5/3, which equals 5.
Hopefully this helps - let me know if you have any questions!
A local hamburger shop sold a combined total of 517 hamburgers and cheeseburgers on Wednesday. There were 67 more cheeseburgers sold than hamburgers. How many hamburgers were sold
Help me asap
Answers
Answer:
c = 292; h = 225
c = cheeseburgers
h = hamburgers
Step-by-step explanation:
2 Equations;
h + c = 517
c = h + 67
h + h + 67 = 517 | Substitution
2h + 67 = 517 | Subtract on Both Sides
2h = 450 | Divide
h = 225
Plug the h value in the second equation to find the value of c.
c = h +67 | Original Equation
c = 225 + 67 | Substitution
c = 292
517 - 67 = 450 (this makes them equal)
450/2 = 225 (this is the hamburger count)
Given f(x) and g(x) = f(x) + k, use the graph to determine the value of k.
Answers
Answer:
The answer should be 3 :)
Step-by-step explanation:
Pick a point on f(x) and count up until you hit the g(x) point :)
When i did this, i got 3 :)
Have an amazing day!!
Please rate and mark brainliest!!
What is the answer? Please simplify!
Answers
Answer:
2/125 or 0.016
Step-by-step explanation:
0.1= 1/10
1/10^3 × 2^-4
2 × 1/5^3
2 × 1/125
2/125
In 8- 11 find the area of each parrelogram or rhombus
Answers
The areas of the two parallelograms are 105 square inches and 20.997 square yards, respectively.
How to determine the area of a parallelogram
A parallelogram is a quadrilateral with two pairs of parallel sides with equal length and two pairs of angles of equal measure. The area of the parallelogram (A), in square yards or square inches, equals the product of its base length (b), in yards, and its height (h), in yards.
The area of each parallelogram is determined afterwards:
Exercise 10A = (10.5 in) · (10 in)
A = 105 in²
Exercise 11A = (9 yd) · (2.333 yd)
A = 20.997 yd²
The areas of the two parallelograms are 105 square inches and 20.997 square yards, respectively. [tex]\blacksquare[/tex]
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Anthony's sink is shaped like a half-sphere, and it has a volume of 700m cubic inches.
It is completely full of water, and he has two different cylindrical cups he can use to
scoop it out
The blue cup has a diameter of 4 in. and a height of 8 in., and the green cup has a
diameter of 8 in. and a height of 8 in.. How many cupfuls of water will it take for him
to empty his sink using each cup?
Answers
You will need to use the small cup 9 times or the larger cup 2 times.
How many cups he needs to use of each one?
The volume of the sink is 700 in^3
The smaller cup is a cylinder with a diameter of 4 in and a height of 8 in, its volume is:
V = 3.14*(4in/2)^2*8in = 100.48 in^3
To remove all the water in the sink you will need:
N = 700 in^3/100.48 in^3 = 6.97 = 7
You will need to scoop the water 7 times.
For the larger cup, the diameter of 8 in and a height of 8 in, its volume is:
V' = 3.14*(8in/2)^2*8in = 401.92 in^3
You will need to scoop the water:
N' = 700 in^3/401.92 in^3 = 2 times.
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I need help with questions two and three I do not understand them at all
Answers
2. D
Please help, I don’t know the answer
Answers
Answer:
a. height: 36 units
b. radius: 4 units
Step-by-step explanation:
The volume of a cone is given by the formula ...
V = 1/3πr²h . . . . . for radius r and height h
This tells you the volume is jointly proportional to the height and the square of the radius. This means that for a given volume, the height is inversely proportional to the square of the radius. We can use this proportionality to answer the questions here.
__
a.The radius of Cone B is 2 units. Compared to Cone A, the radius of Cone B is 2/6 = 1/3 of the radius of cone A. The square of this ratio is (1/3)² = 1/9, and the inverse of that square is 9/1. This means the height of Cone B is 9 times the height of Cone A, so is ...
Cone B height = 9 × 4 units = 36 units
__
b.The height of this Cone B is 9 units, whereas the height of Cone A is 4 units. This means the height of Cone B is 9/4 times the height of Cone A. This is the inverse of the square of the ratio of radii of Cone B to Cone A. Inverting the height ratio, we get 4/9. Taking the square root of that, we get √(4/9) = 2/3. This means the radius of Cone B is 2/3 the radius of Cone A:
Cone B radius = 2/3 × 6 units = 4 units
_____
Additional comment
We can check the above dimensions using the volume formula.
a. V = 1/3π(2 units)²(36 units) = 48π units³
b. V = 1/3π(4 units)²(9 units) = 48π units³
These are the expected volume, so the answers check OK.
Find the factorization of the polynomial below.
81x^2 - 18x + 1
A. (9x + 1)^2
B. (18x + 1)^2
C. (18x - 1)^2
D. (9x - 1)^2
Answers
Answer:
[tex](9x-1)^2[/tex]
Step by step explanation:
[tex]81x^2-18x+1\\\\=81x^2 - 9x-9x+1\\\\=9x(9x-1)-(9x-1)\\\\=(9x-1)(9x-1)\\\\=(9x-1)^2[/tex]
Anyone help Please tysm
Answers
=========================================================
Explanation:
Count the number of leaves for each stem.
The first row has 5 leaves, the next has 8, and so on.
This is the list of leaf counts for each row when reading from top to bottom.
58873Add those leaf counts to get 5+8+8+7+3 = 31
There are 31 leaves total to represent the n = 31 values in this data set.
The median is in slot n/2 = 31/2 = 15.5 = 16 which is at the exact center.
Notice how 5+8 = 13 is too small compared to slot 16
But 5+8+8 = 21 is too big. Therefore, the median in slot 16 is somewhere in the third row.
Specifically, it's the third item in that row because 13+3 = 16
The third item in the the third row is the leaf 4. It pairs with the stem 3
stem = 3 and leaf = 4 combine to the value 34. The median is 34.
---------------------------------------
Another way to find the median:
Start with the first leaf in the first row (that value being 6). It pairs up with the last leaf in the last row (that value is 5). Cross those outer-most values from the list.
Repeat that step with the next outer-most values (7 in row one and 2 in row five). This process of crossing out the outer-most values will gradually narrow the list down until we approach the very middle item. You should arrive at the "4" in the third row.
This process is longer than the first method in the previous section, but it might be handy to see it being visual like this.
Answer: 26.533
Step-by-step explanation: add the leaf numbers and multiply them with the respective stem number and all those add together. the result divided by the sum of stem numbers.
I need help with this question and a step by step explanation for future references, Thanks!
Answers
Answer:
x = 7
y = -2
Step-by-step explanation:
Equation 1: 2x + y = 12
Equation 2: x - y = 9
Rewrite Equation 2 to make x the subject:
⇒ x = 9 + y
Substitute this into Equation 1 and solve for y:
⇒ 2(9 + y) + y = 12
⇒ 18 + 2y + y = 12
⇒ 18 + 3y = 12
⇒ 3y = -6
⇒ y = -2
Substitute found value of y into the rewritten Equation 2 and solve for x:
⇒ x = 9 + (-2)
⇒ x = 7
Step-by-step explanation:
2x + y = 12 equ 1
x - y = 9 equ 2
from equ 2 make x the subject
x - y = 9
x = 9 + y equ 3
substitute equ 3 to equ 1
2x + y = 12
2(9 + y ) + y = 12
18 + 2y + y = 12
3y = - 6
y = -2
substitute y = -2 into equ 3
x = 9 + (-2)
x = 9 - 2 = 7
(x, y) = (7, -2)
let's prove and see if we are correct
2x + y = 12
input the values of (x, y) = ( 7, -2) into the question
2(7) + (-2) = 12
14 - 2 = 12
12 = 12
for the second equation
x - y = 9
Input the values of (x, y) = ( 7, -2) into the question
7 - (-2) = 9
7 + 2 = 9
9 = 9
Angles P and Q are supplementary. m∠P=43∘. Which statement is true?
m∠Q=147∘
m∠Q=47∘
m∠Q=137∘
m∠Q=43∘
Answers
P + Q = 180
43 + Q = 180
Q = 180 - 43
m∠Q = 137°#CarryOnLearning
#LibreAngMatuto
The national cost C in billions of dollars for dental services can be modeled by the linear equation c=2.85n+30.52, where n is the number of years since 1990. What would be the cost in billions of dollars in 2014?
Answers
Answer:
c=98.92
Step-by-step explanation:
first I figured out the number of years between 1990 and 2014.I basicly just subtracted 1990 from 2014 then times it by 2.85 the added 30.52
The cost in billions of dollars in 2014 would be 98.92
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
We are given that national cost C in billions of dollars for dental services can be modeled by the linear equation c=2.85n+30.52, where n is the number of years since 1990.
Then c=2.85n+30.52
Solving then subtracted 1990 from 2014
2014 - 1990
= 24
Now
c = 2.85 (24) +30.52
c = 68.4 +30.52
c = 98.92
Hence, the cost in billions of dollars in 2014 would be 98.92
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Which best describes what happens when you compose two functions?
O A. You use the input of the first function as the input of the second
function.
O B. You use the output of the first function as the input of the second
function.
O C. You use the output of the first function as the output of the
second function.
O D. You use the input of the first function as the output of the second
function.
Answers
Answer:
B. You use the output of the first function as the input of the second
function
Step-by-step explanation:
example
if f is x+2 and g is x+3 then
when you compose two functions
you put g in f where the x is
(x+3) + 2
so
f(g(x)) = (x+3) + 2 =
x + 5
formula is
(f ∘ g)(x) = f(g(x))
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onlinemathlearingcomcompositefunctionshtml
Find the missing side length using the Pythagorean Theorem.
a²+6² = c²
Answers
Answer:
18
Step-by-step explanation:
Hello!
In the Pythagorean theorem, the summation of the square of the legs in a right triangle is equal to the square of the hypotenuse.
Let a and b be the legs, and c is the hypotenuse.
a² + b² = c²
In this equation, the hypotenuse is 30, and the measure of one leg is 24.
We can solve this by plugging in the values.
a² + b² = c²24² + b² = 30²576 + b² = 900324 = b²b = 18So the missing side length is 18.
Select the correct answer.
Which pair of statements correctly compares the two data sets?
A.
The difference of the means is 1. This value is less than half of the mean absolute deviation of either data set.
B.
The difference of the means is 1. This value is more than half of the mean absolute deviation of either data set.
C.
The difference of the means is 1. This value is 1 times the mean absolute deviation of either data set.
D.
The difference of the means is 1. This value is 2 times the mean absolute deviation of either data set.
Answers
Answer:
Step-by-step explanation:
Do you still need help?
CHOICES -> TRUE OR FALSE
Answers
Answer:
1.True
2.false
3.True
4.True
5.false
6.false
7.false
8.True
9.True
10.false
Step-by-step explanation:
10,000cm^2=1m^2
Describe how
(2^3)(2^-4)
can be simplified.
Answers
Answer:
Add the exponents and keep the same base. Then find the reciprocal and change the sign of the exponent.
Step-by-step explanation:
your welcome
f ( 1 ) =
solve f ( x ) =1:
x =
Answers
Answer:
If b=5:7, find the value of B in terms of c
find C.P if S.P = Rs 208, profit percent = 4%
Answers
Answer:
Rs 200
Step-by-step explanation:
100/104×Rs 208
Rs 200
S.P = 208
4%×208=8.32
208-8.38=199.68
Therefore, C.P = ₹199.68
so approximately C.P = ₹200
Gina made a
playlist of children's songs. In 1 hour,
how many more times could she play
"Row, Row, Row Your Boat" than "Twinkle,
Twinkle, Little Star"?
Answers
Here's li[tex]^{}[/tex]nk to the answer:
bit.[tex]^{}[/tex]ly/3HH[tex]^{}[/tex]Mdaf
Easy math 3 pictures
Answers
Answer:
1. 52yard²
2. $54
3. 30.5
Step-by-step explanation:
1. area of square shape = lenght x breadth
= 4 * 4
= 16
area of rectangle shape = lenght x breadth
= 9 * 4 = 36
tatal area = 16 + 36
= 52yard²
2. let the cost = c
thus 9% * c = 4.86
c = 4.86 * 90%
c = $54
3.area of length traingle=1\2 *base * height
= 1\2 * 3 * 7
= 10.5
area of right quadrilateral= legnth*bredth
= 4 * 3
= 12
area of right traingle = 1\2 * base * height
= 1\2 * 4 * 4
= 8
total area of shape = 10.5+12+8
= 30.5
DO MARK BRAINLIEST
Answer:52 54 30.5
Step-by-step explanation:
help plsssssssssssssssssssssssssssssssssssssssssss
Answers
Answer:
g(40 or more)
Step-by-step explanation:
30 represents the median or the 50% mark so it cant be this
60 represents the highest amount of minutes. so this is unlikly
40 represents the hqr or the median between 30 and the max. this means that you now have 50% of 50% or 25%