The values of RS = 19.625 and ST is 8.375.
What is segment Addition Postulate?The segment addition postulate states that if we are given two points on a line segment, A and C, a third point B lies on the line segment AC if and only if the distances between the points meet the requirements of the equation AB + BC = AC.
Given:
RS= 7y-4, ST= y+5, and RT= 28
Suppose that S is between R and T, then:
RS + ST = RT
Putting the values
7y-4+y+5 = 28
7y+y-4+5 = 28
8y + 1 = 28
Subtract 1 from both sides
8y+1-1 = 28 - 1
8y = 27
y = 27/8
y = 3.375
So, length of RS = 7y - 4 = 23.625 - 4 = 19.625.
and, ST = y+5
ST = 3.375+5
ST = 8.375
Hence, the value of RS = 19.625 and ST is 8.375.
Learn more about segment Addition Postulate here: brainly.com/question/17247176
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4) An art classroom has 5 boxes with sharpie pens and clipboards. Each box has 4 sharpies.
There are 25 supplies in all. How many total clipboards are there?
5 clipboards
4 sharpies times 5 boxes = 20 sharpies
25 total - 20 sharpies = 5
5 clipboards
12.
1/2(4x — 2) – 2/3(6x + 9) <4
Answer: x > -11/2
svdbhtdtgifubhonj
Answer:
x>-11/2
I'm sorry, I did this all on paper and I don't really want to type it out. Please understand.
Hope this helps a little bit, though.
Please help or i am grounded
Answer:
[tex]x=140[/tex]
Step-by-step explanation:
Do not get grounded.
An angle at a point is 360°.
So, [tex]x+120+70+30=360[/tex]
[tex]x+220=360[/tex]
[tex]x=140[/tex]
Remember this All the angles around a point when added gives a 360° !
Thus,
30+ X +70+120 = 360
=> X + 220 = 360
=> X = 140°Which phrase best describes f(x), graphed on the coordinate plane below? On a coordinate plane, a curve goes through two cycles. The first part of the curve approaches x = negative 6, has a maximum at (negative 4, 3), and has a minimum at (negative 2, negative 2). The second part of the curve has a maximum at (1.5, 2.5), has a minimum at (4, negative 3), and approaches x = 6. f(x) is an odd function. f(x) is an even function. f(x) is both odd and even. f(x) is neither odd nor even.
Answer:
It's an odd function.
Step-by-step explanation:
Answer:
a. f(x) is an odd function.
Step-by-step explanation:
solve for y: 3y=35 pls help
Step-by-step explanation:
Because this is a multiplication equation, and we need to find one of the factors, we divide.
So 35/3=y
35/3=11.6666667
or 11.67/11.7
Hope it helps!
Multiply: (x – 4)(x + 5)
(a) x2 + 5x - 20,
(b) x2 - 4x - 20,
(c) x2 - x - 20,
(d) x2 + x - 20.
Answer:
D. x2 + x - 20.
Step-by-step explanation:
(x – 4)(x + 5).
= x(x + 5) -4(x + 5).
= x2 + 5x – 4x – 20.
= x2 + x - 20.
100 POINT QUESTION + BRANLIESt What is 2+2?
Answer:
4
Step-by-step explanation:
Yeah if you don't know this one... you're... special.
The length of a table is given in inches, centimeters, and millimeters. Which unit of measure is the most accurate?
4-2(3x+1) - (4x-3)
Answer: 5-10x
I really hope this helps you, I tried my best to explain it!
A bouquet has 6 roses and 21 other types of flowers. What is the ratio of roses to other flowers?\
Answer:
2:7
Step-by-step explanation:
6:21 /3 = 2:7
AB has a midpoint at (4,6). If A has a coordinates of (0,4), find the coordinates of B
Answer:
Step-by-step explanation:
(x+0)/2 = 4
x + 0 = 8
x = 8
(y+4)/2=6
y+4 = 12
y = 8
(8,8)
A student makes a number of measurements of electrical current in the circuit. The average of the measurements is 12.33 mA. The standard deviation of the sample is 0.14 mA. How should this measurement be written to the correct number of significant figures with error range to show a 95% confidence
Answer:
The way to represent this it is
[tex] 12.33 - \frac{0.27}{\sqrt{n} } < \mu < 12.33 + \frac{0.27}{\sqrt{n} } [/tex]
Step-by-step explanation:
From the question we are told that
The sample mean is
The standard deviation is
Given that the confidence level is 95% then the level of significance is mathematically represented as
[tex]\alpha = (100-95)[/tex]
[tex]\alpha = 0.05[/tex]
The critical value for [tex]\frac{\alpha }{2}[/tex] is obtained from the normal distribution table that value is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Now the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{s}{\sqrt{n} }[/tex]
[tex]E = \frac{0.27}{\sqrt{n} }[/tex]
Now the error range to show a 95% confidence is mathematically represented as
[tex]\= x - E < \mu < \= x + E[/tex]
[tex] 12.33 - \frac{0.27}{\sqrt{n} } < \mu < 12.33 + \frac{0.27}{\sqrt{n} } [/tex]
Here notice that the significant figure is keep to three to match the significant figure of the given values
choose the correct math expression for :36 minus the quotient of a and 4
The first term of an arithmetic sequence is 2 and the fourth term is 11
Answer:
The sequence has common difference 3, and its general nth term can be written as:
[tex]a_n=3\,n-1[/tex]
Step-by-step explanation:
In order to define the sequence, we recall the formula for the nth term of an arithmetic sequence as:
[tex]a_n=a_1+(n-1)\,d[/tex]
where "d" is the common difference for the sequence (our unknown in this case), and the nth term is our fourth term (n = 4) which equals 11, and the first term is 2:
[tex]a_n=a_1+(n-1)\,d\\11=2+(4-1)\,d\\9=3\,d\\d=9/3\\d=3[/tex]
Therefore our sequence has common difference 3, and its general nth term can be written as:
[tex]a_n=2+(n-1)3\\a_n=3\,n-1[/tex]
Use the expressions below to complete the following sentences.
Apples: $(2x) per pound
Grapes: $(6x-5) per pound
Oranges: $(x+2) per pound
A shopper purchases one pound each of apples, grapes, and oranges and spends $10.50.
The shopper spent
dollars on apples.
The shopper spent
dollars on grapes.
The shopper spent
dollars on oranges.
Please help me please
Answer:
the last option
Step-by-step explanation:
every other one adds up to be 10/12 but the last one is 15/10
Answer:
D) 5/12 + 4/12 + 3/12 + 2/12 + 1/12
Step-by-step explanation:
5/12 + 4/12 + 3/12 + 2/12 + 1/12 = 15/12
Mary determined that her father's age is four less than three times her age. If represents Mary's age,
which expression represents her father's age? (A.SSE.1.b)
A) 3x-4
B) (x-4)
C) 4x-3
D) 4-3x
Answer:
B
Step-by-step explanation:
3x-4 represent father's age
Find a counterexample to show that we don't always have equality.
Answer:
Hello your question is incomplete below is the complete question
Let R be a relation from A to B and S a relation from B to C.
(a) Prove that . [tex]Dom(S \circ R) \subseteq Dom(R)[/tex]
(b) Find a counterexample to show that we don’t always have equality.
answer : (b) Dom ( S o R ) = [ 1 ] and Dom ( R ) = [ 1, ∝ ]
hence: Dom ( S o R ) ≠ Dom ( R )
Step-by-step explanation:
Note : R ⊆ A * B and S ⊆ B * C
A) To prove that [tex]Dom(S \circ R) \subseteq Dom(R)[/tex]
we take note that : S o R ⊆ A x C
ATTACHED BELOW IS THE REMAINING PART OF THE SOLUTION
B) A counterexample to show that we don't always have equality
attached below is a assumptions and solution on how we arrived at the value below
Dom ( S o R ) = [ 1 ] and Dom ( R ) = [ 1, ∝ ]
hence: Dom ( S o R ) ≠ Dom ( R )
-1-(-13)
How to simplify the equation
Answer:
12
Step-by-step explanation:
Subtracting a negative is like adding
-1 - (-13)
-1 + 13
Rewriting
13 -1
12
A shipment of 20 DVDs has arrived at a video rental store. Based on past experience, the manager knows that 10% of all new DVDs sent to the store have a visible defect. The manager tells you to begin inspecting the new DVDs one at a time at random until you find the first DVD that has a defect. If 10% of the DVDs have a visible defect in the new shipment, what is the probability that the first DVD that has a defect is the 3rd one that you inspect? (Round your answer to 3 decimal places.)
Answer:
The probability is 0.081
Step-by-step explanation:
Here, we want to calculate the probability that the 3rd inspection will be defective.
What this means is that the first two would
not be defective.
Probability of having a defective DVD = 10% = 10/100 = 0.1
Probability of not having a defective DVD = 1 -0.1 = 0.9
So the probability of third being defective = Probability of first not defective * Probability of second not defective * Probability of third defective
= 0.9 * 0.9 * 0.1 = 0.081
Write an equation of a line that is perpendicular toy-2/3%+2
that passes through the point(2.2)
Answer:
Step-by-step explanation:
perp. 3/2
y - 2 = 3/2(x - 2)
y - 2 = 3/2x - 3
y = 3/2x - 1
which product is negative
Answer:
4th option because the two negatives will become positive and the 3rd will make it negative again
Answer:
the last one which is D (D)
Can someone please solve this equation for me 5.50x=266
Answer:
1463
Hi There!
Remember, when multiplying with decimals never forget to add the decimal!
If a desk is $186with a discount of 50% what is the original retail price for the desk
Answer: $372
Step-by-step explanation:
Let the original retail price be 'x'
Therefore, using the give information, we can form the following equation:
50/100x = 186
Now, solve for x
50/100x = 186
1/2x = 186
x = 186 * 2
x = 372
The original retail price is $372.
Check:
50/100(372) = 186
1/2(372) = 186
186 = 186
Is V'8 greater than, less thar, or equal to 4? Explan
Answer: Less than.
Step-by-step explanation:
[tex]\sqrt{8}[/tex] is less than 4 because [tex]4^{2}[/tex] is 16. And [tex]\sqrt{8} ^{2}[/tex] is 8.
l= 9.25 cm; A = 55.5 cm square
Answer:
shhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
Step-by-step explanation:
I’m having a hard time looking at this figure and I want to make sure I’m looking at it right and understanding it. Any help is greatly appreciated, I know it’s quite a bit
Step-by-step explanation:
1a) The perpendicular bisectors pass through the midpoints of the sides of the triangle and are perpendicular to the sides. They are the red lines.
1b) The angle bisectors pass through the vertices of the triangle and divide the angle into two equal parts. They are the black lines.
1c) The inscribed circle is the circle inside of the triangle. It is the blue circle.
1d) The circumscribed circle is the circle outside of the triangle. It is the green circle.
2a) The circumcenter is the center of the circumscribed circle. It is point H.
2b) The incenter is the center of the inscribed circle. It is point I.
Some movies are profitable and others are not . Understandably , the movie industry would like to know what makes a movie successful . Data from 728 first-run movies released in 2011 suggest that longer movies actually make less profit. Identify the sample .
Answer:
The sample is the 728 first run movies released in 2011
SHOW WORK !!! BRAINLIST !!
Answer:
[tex]x^3y^5[/tex]
Step-by-step explanation:
[tex]\frac{(x^3y^2)^2(xy^2)}{x^4y} = \frac{(x^6y^4)(xy^2)}{x^4y}=\frac{x^7y^6}{x^4y} =x^3y^5[/tex]
Here , the general rules followed are :-
i) [tex]x^m * x^n =x^m^+^n[/tex]
ii) [tex](x^my^n)^z = (x^m^z)(y^n^z)[/tex]
iii) [tex]\frac{x^my^n} {x^ay^b} = (x^m^-^a)(y^n^-^b)[/tex]
Point Bis on line segment AC.Given AB 4. - 6, AC = 2x + 10, and
BC = 4, determine the numerical length of AC.
Answer: AC
Submit Answer
attempt
Answer:
5
Step-by-step explanation:
