what is the length of segment SR?

What Is The Length Of Segment SR?

Answers

Answer 1

ST = ST (Common)

RT = TQ (Given)

∠ RTS = ∠ SQT (Both 90°)

So, ∆ RTS ≅ ∆ QTS (By SAS congruency rule)

So, RS = QS (By C.P.C.T.)

=> 2x + 8 = 8x - 4

=> 8 + 4 = 8x - 2x

=> 12 = 6x

=> 12/6 = x

=> 2 = x

SR = 2x + 8 (Given)

=> SR = 2(2) + 8 (Putting the value of x)

=> SR = 4 + 8

=> SR = 12

Answer 2

Answer:

Step-by-step explanation:


Related Questions

The graph of quadratic function f has zeros of -8 and 4 and a maximum at (-2,18). What is the value of a in the functions equation

Answers

Hello,

Answer D

-8 and 4 are zeros ==> y=k*(x+8)(x-4)=kx²+4kx-32k

(-2,18) is a point of the curve:

18=k*(-2)²-8k-32k

-36k=18

k= - 1/2

Answer:

Have a great rest of ur day :)

Step-by-step explanation:

what is the slope of the line perpendicular to the line through the points (-1,6) and (3,-4)

Answers

Answer:

The slope of the perpendicular line is 2/5.

Step-by-step explanation:

We want to find the slope of the line that is perpendicular to the line that passes through the points (-1, 6) and (3, -4).

Recall that the slopes of perpendicular lines are negative reciprocals of each other.

Find the slope of the original line:

[tex]\displaystyle m=\frac{\Delta y}{\Delta x}=\frac{(-4)-(6)}{(3)-(-1)}=\frac{-10}{4}=-\frac{5}{2}[/tex]

The slope of the perpendicular line will be its negative reciprocal.

Thus, the slope of the perpendicular line is 2/5.

Answer:

The slope of the line perpendicular to the line through the points (-1,6) and (3,-4) is -5/2.

Step-by-step explanation:

We have to find the slope of the line perpendicular to the line through the points (-1,6) and (3,-4).

using the formula;-

m = (y²-y¹) / (x²-x¹)

Where,

m = slope ( y² - y¹) = ( -4 -6 )( x² - x¹) = ( 3 - 1)

plug the value and simplify.

m = ( (-4 ) - 6)/(3 - (- 1)

m = - 10 / 4

m = - 5/2

Hence, The slope of the line perpendicular to the line through the points (-1,6) and (3,-4) is -5/2.

What is the value if X?

A) 16
B) 30
C) 8
D) 15


A step by step analysis would be greatly appreciated but a simple answer will do as well.​

Answers

Answer:

[tex] \large{ \tt{ \bigstar \: {EXPLANATION : }}}[/tex]

Q. What do you mean by circumference ?

Ans : The perimeter of a circle is called its circumference. It is the total length of the curved line of the circle.

Q. What do you mean by chord ?

Ans : The line segment that joins any two points on the circumference of a circle is called the chord of the circle. In the figure , BA and DC are any two chords of the circle.

[ See the attached picture ] Observe the figure , you can see AB = 30 & CD = 15 + 15 = 30 which means chord BA and DC are equal. We know : Equal chords of a circle are equidistant from the centre. Hence, PO = OQ = 16 .

[tex] \large{ \boxed{ \boxed{ \tt{✺ \: OUR \: FINAL \: ANSWER : \boxed{16}}}}}[/tex]

Hope I helped! Let me know if you have any queries regarding my answer and also , Notify me if you need any help! ツ

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

I think the answer is 16 so I hope it help

Factorise 2ab+2ac. Please

Answers

Answer:

2a(b+c)

Step-by-step explanation:

Find HCF (2a)

Then factorise

Answer:

2a(b+c)

.............

In - ABC shown below, side AC is extended to point D with mZ DAB = (180 – 3x) °,

mZ B = (6x – 40) °, and m2 C = (x + 20).

Answers

Answer:

<BAC = 36degrees

Step-by-step explanation:

Find the diagram attached

The sum of the interior angle is equal to the exterior. Hence;

<B + <C = <DAB

6x+40 + x+20 = 180 - 3x

7x+60 = 180 - 3x

7x+3x = 180 - 60

10x = 120

x = 120/10

x = 12

Get <BAC

<BAC = 180 - (180-3x)

<BAC = 180-180+3x

<BAC = 3x

<BAC = 3(12)

<BAC = 36degrees

Which of the following statements is true for the figures shown

Answers

Answer:

no question pls give and I can think

The surface area of the cube shown

Answers

I think it’s 181.5 cm^2, hope this helps

pls help w this

√2x+1 = 4
In the equation above, what is the value of 2x +1?
A) 3/2
B) 2
C) 4
D) 16

Answers

D :) because you have to square both sides of the equation to get the 2x+1 by itself which would equal 16

Answer:

[tex]\boxed {\boxed {\sf D. \ 16}}[/tex]

Step-by-step explanation:

We are given the following equation and asked to solve for 2x+1.

[tex]\sqrt {2x+1}=4[/tex]

We want to isolate the entire expression of 2x+1. Notice that it is under the square root. If we want to isolate it, we have to perform the inverse operation. The inverse of a square root is a square, so we square both sides of the equation.

[tex](\sqrt{2x+1} )^2= (4)^2[/tex]

[tex]2x+1=(4)^2[/tex]

[tex]2x+1=16[/tex]

We could continue solving for x, then plug the answer back into the expression 2x+1. However, hopefully you notice that we already found the answer!

We only had to do one step to find the answer, but you could complete many other steps to get the same answer:

[tex]2x+1-1=16-1\\2x=15\\2x/2=15/2\\x= 7.5[/tex]      (Solve for x)

[tex]2x+1\\2(7.5)+1\\15+1\\16[/tex]                   (Plug the answer in for x)

The value of 2x+1 is 16 and the correct answer is 16.

Which phase best describes the transition from the graph y=2x^2 to the graph of y2x^2+5?
A. 5 units up
B. 5 units down
C. 5 units right
D. 5 units left?

Answers

Answer:

Anything after x determines if it goes up since it's a positive 5 it's 5 units up

Mathematically verify the outlier(s) in the data set using the 1.5 rule.
7, 8, 11, 13, 14, 14, 14, 15, 16, 16, 18, 19

1. 7 & 19 are outliers.
2. 7 & 8 are outliers.
3. 7, 8, & 19 are outliers.
4. There are no outliers.

Answers

Given:

The data values are:

7, 8, 11, 13, 14, 14, 14, 15, 16, 16, 18, 19

To find:

The outliers of the given data set.

Solution:

We have,

7, 8, 11, 13, 14, 14, 14, 15, 16, 16, 18, 19

Divide the data set in two equal parts.

(7, 8, 11, 13, 14, 14), (14, 15, 16, 16, 18, 19)

Divide each parenthesis in two equal parts.

(7, 8, 11), (13, 14, 14), (14, 15, 16), (16, 18, 19)

Now,

[tex]Q_1=\dfrac{11+13}{2}[/tex]

[tex]Q_1=\dfrac{24}{2}[/tex]

[tex]Q_1=12[/tex]

And

[tex]Q_3=\dfrac{16+16}{2}[/tex]

[tex]Q_3=\dfrac{32}{2}[/tex]

[tex]Q_3=16[/tex]

The interquartile range is:

[tex]IQR=Q_3-Q_1[/tex]

[tex]IQR=16-12[/tex]

[tex]IQR=4[/tex]

The data values lies outside the interval [tex][Q_1-1.5IQR,Q_3+1.5IQR][/tex] are known as outliers.

[tex][Q_1-1.5IQR,Q_3+1.5IQR]=[12-1.5(4),16+1.5(4)][/tex]

[tex][Q_1-1.5IQR,Q_3+1.5IQR]=[12-6,16+6][/tex]

[tex][Q_1-1.5IQR,Q_3+1.5IQR]=[6,22][/tex]

All the data values lie in the interval [6,22]. So, there are no outliers.

Hence, the correct option is 4.

A triangle is rotated 90 about the origin. Which rule describes the transformation?

Answers

Answer:

1st option

Step-by-step explanation:

Under a rotation about the origin of 90°

a point (x, y ) → (- x, - y )

Answer:

your answer will be the first option

Step-by-step explanation:

edge 2021

a phrase is shown. seven times the sum of a number ,n, and four . which expression represents the phrase ?

Answers

Answer: 7(n + 4)

Step-by-step explanation:

I'm not sure how to explain this one, but I'll try:

Seven times the sum of a number, n, and four

7 times n + 4   (sum means addition)

calculate the exact value of 1 1/3- 3 5/6+ 5 1/9​

Answers

[tex]\displaystyle\bf 1\frac{1}{3} -3\frac{5}{6} +5\frac{1}{9} =5+1-3+\frac{1^{/6}}{3} +\frac{1^{/2}}{9} -\frac{5^{/3}}{6}\\\\\\\ =3+\frac{6+2-15}{18} =3-\frac{7}{18}=\boxed{2\frac{11}{18} }[/tex]

hello can you help me with this?

Answers

Answer:

x = 25.5

Step-by-step explanation:

suppose RS and MQ are parallel the sum of angle MRS and RMN would be 180 degrees

2x + x + x 78 = 180 add like terms then subtract 78 from both sides

4x = 102 divide both sides by 4

x = 25.5

Choose the correct answer from the given four options: In an AP, if d = –4, n = 7, an = 4, then a is *

6

20

7

28​

Answers

[tex]a = 28.[/tex]

Step-by-step explanation:

[tex] {a}n = a + (n - 1)d[/tex]

[tex]4 = a + (7 - 1)( - 4)[/tex]

[tex]4 = a + 6( - 4)[/tex]

[tex]4 = a + ( - 24)[/tex]

[tex]4 = a - 24[/tex]

[tex]4 + 24 = a[/tex]

[tex]28 = a[/tex]

(OR)

[tex]a = 28.[/tex]

Given: ABCD is a parallelogram.

Prove: ∠A and ∠D are supplementary.

Parallelogram A B C D is shown.

By the definition of a parallelogram, AB∥DC. AD is a transversal between these sides, so ∠A and ∠D are
angles. Because AB and DC are
, the same-side interior angles must be
by the same-side interior angles theorem. Therefore, ∠A and ∠D are supplementary.

Answers

Answer:

By the definition of a parallelogram, AB∥DC. AD is a transversal between these sides, so ∠A and ∠D are  

✔ same-side interior

angles.  Because AB and DC are  

✔ parallel

, the same-side interior angles must be  

✔ supplementary

by the same-side interior angles theorem. Therefore, ∠A and ∠D are supplementary.

Step-by-step explanation:

Answer:

The answer above is correct!

The correct options are:

First box: option D. same-side interior

Second box: option C. parallel

Third box: option D. supplementary

Step-by-step explanation:

Hope this helped - just got it right on edge!

Brainliest would be greatly appreciated :)

What is the system of equations shown in the graph

Answers

Answer: D
If you look at the graph the slopes and y intercepts match up

Answer:

D)

y = - x + 1

y = -1/4 +2

Step-by-step explanation:

The equation of a linear graph: y = mx + b

The red graph is going down, so it would mean the m value is negative (-). This cancels options A) and C). The red graph also moves one unit up the y-axis which means the b is one (1). So the equation would be y = - x + 1.

The blue graph is also going down, so it would mean the m value is negative (-). This means it could be options B) or D). But, the blue graph also moves two units up the y-axis, which means the b is two (2).  So the equation would be y = - 1/4x + 2.

The inverse of the relation y = 2x + 3 can be obtained graphically by:

Answers

The answer is d I just did Tun

The inverse of a function can be determined graphically by reflecting the graph over line y =x, the correct option is D.

What is an Inverse Function?

An inverse of a function can be determined by interchanging variables in the function, y is interchanged by x in an f(x,y) function and then the equation is solved for y to determine the inverse of a function.

The equation is y = 2x+3

The inverse of a function is determined graphically the graph will be reflected in the line y =x.

The graph is attached with the answer.

Therefore, the correct option is D.

To know more about Inverse Function

https://brainly.com/question/2541698

#SPJ2

Determine if the expression – 2 is a
polynomial or not. If it is a polynomial,
state the type and degree of the
polynomial.

Answers

Answer:

strictly speaking ... poly means MANY

3x+ 4 is a binomial (bi = 2 parts)

with only one part it can not be described as a "POLY-nomial"

Step-by-step explanation:

Find the value of the following​

Answers

Answer:

110.01 (aprox)

Step-by-step explanation:

x + (1/x) = 5

x(x + (1/x)) = x(5)

x*x + x*1/x = 5x

x² + 1 = 5x

x² - 5x + 1 = 0

x = {-(-5)±√((-5²) -(4*1*1))} / (2*1)

x = {5±√(25-4)} / 2

x = {5±√21} / 2

x = {5±4.5826} / 2

x₁ = {5-4.5826} / 2 = 0.4174/2 = 0.2087

x₂ = {5+4.5826) / 2 = 9.5826/2 = 4.7913

Comprobación:

x₁

0.2087 + 1/0.2087 = 5

0.2087 +  4.7913 = 5

x₂

4.7913 + 1/4.7913 = 5

4.7913 + 0.2087 = 5

Respuesta:

x₁

(0.2087)³ + 1/(0.2087)³ = 0.0091 + 1/0.0091 = 0.0091 + 110.0101 = 110.019

x₂

(4.7913)³ + 1(4.7913)³ = 110 + 1/110 = 110 + 0.01 = 110.01

What is the product?
(7x^2y^3)(3x^5y^8)
10x^7+y^11
10X^10y^24
21x^7y^11
21x^10y^24

Answers

Answer:

21x^7y^11.

Step-by-step explanation:

:D

What is the equation of the following line?

Answers

Answer:

c. y = -4x

Step-by-step explanation:

use slope formula

A rectangle's width is one-fifth it's length, and it's perimeter is 72m.Find the dimensions of the rectangle

Answers

EXPLANATION:

W = x

L = 5x

x + 5x = 72

6x = 72

x = 12 feet = W

5(12) = 60 feet = L

12 + 60 = 72 feet.

: Cleomenius




Tip: brainliest plz:))

What is the scale factor from ABC to DEF?

Answers

Within similar triangles, the angles are the same. So, we need to look at the side lengths then.

72 to 12

66 to 11

42 to 7

In each pair of corresponding side lengths, the original side length from triangle ABC is divided by 6 (or multiplied by 1/6) to get the smaller side length on triangle DEF.

The scale factor from ABC to DEF is 1/6.

Hope this helps!

If f(n) = 4n + 7 and g(n) = 2n + 3, find (g - f)(n).

2(n-4)
4- 2n
-2n - 4
2n + 4

Answers

Step-by-step explanation:

=(g-f)(n)

=4n+7-2n-3

=2n+4

____________ was designed to tabulate the 1890 census and used cards with designated areas representing data fields.

Answers

Answer:

Hollerith tabulating machine

Step-by-step explanation:

The Hollerith tabulating machine was invented by Herman Hollerith in other to assist in the data processing of the United States 1890 election. This machine was used to read and summarize the information stored on punchcards. This machine paved the way for the development of enhanced models which were employed for accounting and some other aspects related to business management.

Re-write the following expression using ADDITION ONLY:
12- 3+16 - 37 - (-20)

Answers

12- 3+16 - 37 - (-20)
=9+16-37-(-20)
=25-37-(-20)
=-12-(-20)
=8
(therefore ur answer would be 8)

Answer:

12- 3+16 - 37 -( 20)

=8

Step-by-step explanation:

Two negatives are a positive , this really helps

4 Two number cubes are rolled. The faces have the numbers 1-6 on them. The number that shows on top is recorded. What is the probability that
the same number shows on both number cubes?
OF
OS

Answers

Of is a answer isn’t

Why did U.S. leaders decide to create the Federal Reserve?
A. Economic panics showed that the banking system was not stable.
B. The United States needed to have a single type of currency.
C. Small banks requested additional government oversight.
D. State banks needed the power to create their own currencies.​

Answers

Answer:

A

Step-by-step explanation:

A central bank was needed to oversee monetary policy

Answer:A

Step-by-step explanation:

I did the test

Someone help me please

Answers

Answer:

(x + 10)(2x + 5)

Step-by-step explanation:

Given

2x² + 25x + 50

Consider the factors of the product of the coefficient of the x² term and the constant term (ac) which sum to give the coefficient of the x- term (b)

ac = 2 × 50 = 100 and b = 25

The factors are + 20 and + 5

Use these factors to split the x- term

2x² + 20x + 5x + 50 ( factor the first/second and third/fourth terms )

= 2x(x + 10) + 5(x + 10) ← factor out (x + 10) from each term

= (x + 10)(2x + 5)

Other Questions
Fraser Company will need a new warehouse in five years. The warehouse will cost $500,000 to build. Click here to view Exhibit 12B-1 and Exhibit 12B-2, to determine the appropriate discount factor(s) using tables. Required: What lump-sum amount should the company invest now to have the $500,000 available at the end of the five-year period? Assume that the company can invest money at: ( Exercise 1Fill in the blanks with the Past Form of the verbs given in the brackets:1. In the olden days, children(treat) their elders with great respect2. In 1980, we(leave) India to settle down in Canada.3. American planes continually(bomb) Taliban positions in Afghanistan4. He(take) early retirement from the army and(start) apublishing firm in Delhi5. Kailash(try) to persuade his brother to give up his bad habits6. Why(don') you stop the boy from throwing stones at peopleon the road?7. We(look) everywhere but(not) findour little puppy8.(do) you go to the new showroom opened by Marks and Spencers yesterday?9. Last night,(has) a shock when Icar missing10. The smoke(sting) my eyes and I(can't) see where 1(find) my(be) going Find the constant of proportionality (r) in the equation y=rx If $4000 is invested at 2% interest, find the value of the investment at the end of 6 years.An investment of $4000 is deposited into an account in which interest is compounded continuously. Complete the table by filling in the amounts to which the investment grows at the indicated interest rates. t = 5 years Rate per year Amount 1% 2% 3%4%5%6% Translate Which of the two cars does your dad want to buy? (spoken toyour friend) into French in the box below:(use est-ce que) Which of the following statements about inflation is true? A. Inflation is not a problem because it is just another way for the government to collect revenuelong dash an alternative to the income tax or the sales tax. B. Inflation is a tax on spending money. C. Inflation is a tax on holding money. D. Inflation occurs when real GDP grows more rapidly than the quantity of money. can you help me with these algebra problems please A Sound Of ThunderChoose the letter of the word or phrase that matches the word in italics The boxer was resilient-- every time he was knocked down he got back up.Resilient is in italics A. Capable of withstanding shockB. Stubbornly irrational C. Consistently unbeatable D. Capable of using defensive motion PLEASE HELP!!! The frontal lobe helps the body cope with stress and promotes muscle development ? A system of farming that leads to continuous destruction of virgin forest isA. mixed farmingB. mixed croppingC. pastoral farmingD. shifting farming 1. Which of the combinations in the lab activity had indications that a chemical change occured? Defend your argument with evidence.2. Which of the combinations in the lab activity had indications that a physical change occured? Defend your argument with evidence.3. Are all physical changes reversible? Explain your answer using an example you've observed in your everyday life.4. Give an example of something you've observed in your everyday life that is a chemical reaction. How did you know it was a chemical reaction? Determine whether the lines are parallel, perpendicular, or neither.9x + 3y = 1224x + 8y = 35 Mr. McConnley states that he returned four days ago from a convention in Florida where he both lodged and attended conference meetings at the same hotel. Does this support Dr. Miller's suspicions? Why or why not? In documentary making, what do we mean when we say every story has a hero and a villain? FACTOR....x^2 + 10 - 2400 = 0 give me answer please don't skipIf a^2+b^2 = 58 and a-b = 4 then what is the value of ab Which expression has a solution of 11, if m = 1?m - 1111 + m14 - mm + 10 An educational institution has total direct labor and material costs of $1964 per student. Its fixed costs are $352,800. Total revenues for the year were $1,800,000. It had 800 students in the past year. How many students should they accept in the next year to break even assuming the variable cost margins are equal to this year, and assuming fixed costs are to increase by $19,000 due to increased rent for expansion? (round to the nearest whole number). 3c(p-6)+4(p-6)= write the correct expression in factored form. Which choice correctly shows the line y = -x?BNOW-1 2 3 4NH-4 -3 -2 -1 1 2 3 4UN21 2 3 4-4-3-2/4 1 2 3 4-4 -3 -2 -3NA2At2