Given: ∠N ≅ ∠S, line ℓ bisects at Q.
Prove: ∆NQT ≅ ∆SQR

Which statement belongs in Step 4?

Given: N S, Line Bisects At Q.Prove: NQT SQRWhich Statement Belongs In Step 4?

Answers

Answer 1

Answer:

angle NQT equals angle STR

Step-by-step explanation:

You already have two angLes, you just need a side to be able to say the AAS Theorem. The answer is the remaining side to figure that out


Related Questions

the perimeter of equilateral triangle is 21m. Find the area. Using Heron's Formula


plzzz answer fast i will mark brainliest.

Answers

Answer:

A ≈ 21.22 m²

Step-by-step explanation:

The area (A) of a triangle using Heron's formula is

A = [tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex]

where s is the semi perimeter and a, b, c the sides of the triangle.

Here the perimeter of the equilateral triangle is 21 m , then

a = b = c = 21 ÷ 3 = 7 m

s = 21 ÷ 2 = 10.5

Then

A = [tex]\sqrt{10.5(10.5-7)(10.5-7)(10.5-7)}[/tex]

   = [tex]\sqrt{10.5(3.5)(3.5)(3.5)}[/tex]

   = [tex]\sqrt{450.1875}[/tex]

   ≈ 21.22 m² ( to 2 dec. places )

8x square + 1 + 3square - 2​

Answers

Answer:

8x^2-1+3^2

Step-by-step explanation:

Which term can be used in the blank of 36x3−22x2−__ so the greatest common factor of the resulting polynomial is 2x? Select two options.

2
4xy
12x
24
44y

Answers

Answer:

[tex]4xy[/tex][tex]12x[/tex]

-------------

[tex]36x^3,\:22x^2,\:4xy[/tex]

Factor 36x³

[tex]2\cdot \:2\cdot \:3\cdot \:3\cdot \:x\cdot \:x\cdot \:x\\[/tex]

Factor 22x²

[tex]11\cdot \:2\cdot \:x\cdot \:x[/tex]

Factor 4xy

[tex]2\cdot \:2\cdot \:x\cdot \:y[/tex]

Common factor

[tex]2x[/tex]

---------------------

[tex]36x^3-22x^2-12x[/tex]

Factor 36x³

[tex]2\cdot \:2\cdot \:3\cdot \:3\cdot \:x\cdot \:x\cdot \:x[/tex]

Factor 22x²

[tex]11\cdot \:2\cdot \:x\cdot \:x[/tex]

Factor 12x

[tex]2\cdot \:2\cdot \:3\cdot \:x[/tex]

Common factor

[tex]2x[/tex]

OAmalOHopeO

Can someone explain this

Answers

Answer:   28

=========================================================

Explanation:

Let x be the unknown angle we want to find. This angle is in degrees.

The diagram shows 19 is the opposite of this angle, and the side 35 is adjacent to the angle.

We use the tangent ratio to tie the two sides together

[tex]\tan(\text{angle}) = \frac{\text{opposite}}{\text{adjacent}}\\\\\tan(x) = \frac{19}{35}\\\\x = \tan^{-1}\left(\frac{19}{35}\right)\\\\x \approx 28.4956386\\\\x \approx 28\\\\[/tex]

Note: The notation [tex]\tan^{-1}[/tex] refers to the inverse tangent, or arctangent.

Geometry, please answer question ASAP

Answers

Answer:

D

Step-by-step explanation:

The median goes from the vertex to the midpoint of the opposite side, so

LN = NM , that is

3x - 7 = 5 ( add 7 to both sides )

3x = 12 ( divide both sides by 3 )

x = 4

Then

KL = 2x + 3 = 2(4) + 3 = 8 + 3 = 11 → D

PLEASE ELP ME ITS URGENT!!! 25 POINTS!!!!!
Write 2.4 × 1012 in standard notation.

Answers

Answer:

2,400,000,000,000

Step-by-step explanation:

2.4 x 10^12 means that the decimal point is moved 12 places to the right (hence the power of 12)

So by moving the decimal point 12 times you get this: 2,400,000,000,000

The reason why there are only 11 zeroes is because the 4 was a decimal place  to the right of 2, thus losing a zero.

The tens digits of a certain two-digit number is 1/3 of the units digit. When the digits are reversed, the new number exceed twice the original number by 2 more than the sum of the digits. Find the original number.

Answers

Answer:

The orginal number is 26.

Step-by-step explanation:

So the units digit can be 3 6 or 9

The tens digit can be 1 2 or 3

So the original number can be 13

31 = 2*13+ (1+3) + 2

31 =? 26 + 4 + 2    

This doesn't work. The right side is 32

26

62 = 2*26 + 8 + 2

62 = 52 + 8 + 2

This is your answer.

3 and 9 won't work because 39 is odd and so is 93. The result has to be even.

I need help pls pls pls pls

Answers

Answer:

1. -18x+6

multiply everything inside with the number outside the bracket

2. -18x-6

same as number one

3. 18x-12

same as number one

4. -18x-6

same as number one

for 5 I can't see it well but it should be similar

you just need to substitute what's outside the bracket to what Is inside the bracket

Answer: -6 (3x+1)

Step-by-step explanation:

Factor the polynomial -18x-6−18x−6 by it's GCF: -6−6

2. Give an example of a rational number that is not a whole number.

Answers

This are a few of Rational numbers are not whole numbers: 8,−3,32,7−5.

Step-by-step explanation: Hope this helps

PLZZZZ HELPPPPPP!!!!!!!!!!!

Answers

Answer:

5/8 boxes

Step-by-step explanation:

1/3 ⋅ 1 7/8 = ?

1/3 ⋅ 15/8 = 15/24

15/24 = 5/8

5/8 boxes

Write the quadratic expressions in the numerator and the
denominator in factored form
4x^2-14x+6/
X^3-7x^2+12x

Answers

I have to give 2 Ans form my question so sorry

Answer: in photo.

Explanation:

The table shows values for a quadratie function
What is the average rate of change for this function for the interval from 1
Please see
Pic

Answers

Answer:

B

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here [ a, b ] = [ 1, 3 ] , then

f(3) = 18 ← value of y when x = 3

f(1) = 2 ← value of y when x = 1

Then

average rate of change = [tex]\frac{18-2}{3-1}[/tex] = [tex]\frac{16}{2}[/tex] = 8 → B

Need help ASAP!!!!Make sure you can explain your answer

Answers

Answer:

see below

Step-by-step explanation:

point A(x,y) becomes A'(-x,-y).

So point E (-3,-5) becomes  E'( 3,5)

F (-1,-1) becomes F'(1,1)

and G (0,-5) becomes G'( 0,5)

A line with slope 3 intersects a line with slope 5 at the point (10, 15). What is the distance between the x-intercepts of these two lines?​

Answers

Answer:

2

y = 3x-15

y=5x-35

x1=5

x2=7

distance between = 7-5 = 2

Step-by-step explanation:

Draw the graphs of the pair of linear equations : x + 2y = 5 and 2x - 3y = -4 Also find the points where the lines meet the x - axis .

Answers

Answer:

(1, 2)

Step-by-step explanation:

Given the equation of the lines x + 2y = 5 and 2x - 3y = -4

First we need to make x the subject of the formulas

For x+2y = 5

x = 5 - 2y ... 1

For 2x - 3y = -4

2x = -4+3y

x = (-4+3y)/2 ... 2

Equate 1 and 2

5 - 2y =  (-4+3y)/2

2(5-2y) = -4+3y

10 - 4y = -4+3y

-4 -3y = -4-10

-7y = -14

y = 14/7

y = 2

Substitute y = 2 into 1

x = 5 = 2y

x = 5 - 2(2)

x = 5 - 4

x = 1

Hence the point where the lines meet will be at (1, 2)

PLEASE HELP WILL MARK BRAINLIEST!!!! You work for a consumer advocate agency and want to find the mean repair
cost of a washing machine. As part of your study, you randomly select 40
repair costs and find the mean to be $120.00. The sample standard deviation
is $17.50. The 99% confidence interval for the population mean repair cost is? A.(112.86, 127.14) B.(114.58, 125.42) C. (115.43, 124.57) D. (111.57, 128.43)

Answers

Answer:

The correct answer is - A.(112.86, 127.14)

Step-by-step explanation:

Given:

mean = $120

sd = $17.50

n = 40

Solution:

Confidence interval for a populationcan be express as mean +/- margin of error (E)

degree of freedom = n-1 = 40-1 = 39

confidence level (C) = 99% = 0.01

significance level = 1 - C = 1 - 0.01 = 0.99 = 99%

 by margin of error E = t×sd/√n = 2.58*17.50/√40

= 2.58*2.76

= 7.138 or 7.14

then the lower limit of mean = mean - E = 120 - 7.14 = $112.86

and, the upper limit of population mean = mean + E = 120 + 7.14 = $127.14

Identify one similarity and one difference between the graph of 2x + 4 and the graph of y= -1/2x + 4

Answers

Answer:

Similarity: Both graphs have same y-intercepts.

Difference: Graph 2x + 4 has a slope of 2 while the graphic -½x + 4 has a slope of -½

Step-by-step explanation:

[tex]{ \sf{y = mx + b}}[/tex]

m is the slope

b is the y-intercept

Help me solve this please!

Answers

Answer Should be 45

Answered by Gauthmath must click thanks and mark brainliest

Find the missing number.

____ × 7 = 91

please help me

Answers

91 divided by 7 is 13.
13 is the missing number

Answer: 13

Step-by-step explanation:

Take 7 to the other side and divide 91 by 7, the answer will be 13.

Check all that apply

Answers

Answer:

all of them are REAL numbers

1. is also RATIONAL

2. is also IRRATIONAL

3. is also IRRATIONAL

4. is also NATURAL, WHOLE, INTEGER and RATIONAL

5. is also INTEGER and RATIONAL

6. incorrect, because integer is just the whole numbers extended by their additive counterparts (the negative natural numbers). in other words, their absolute values are whole numbers. 5.5 as well as -5.5 are not fitting that criteria.

7. incorrect, because this pattern does not fit the definition of a radical number, where the number eventually begins to repeat the same finite sequence of digits over and over. in this example the pattern is not based on a finite sequence of digits.

Value of the boat after 3 years?

Answers

after each year it's 83% of it's value from last year (100%-17%=83%)

the function in 19000 * (0.83) ^x

3 will be filled in for x

19000 * (0.83) ^3= 10863.953

$10863.95

Answer:

$10,863.95

Step-by-step explanation:

y = 19,000[tex](.83)^{t}[/tex]

y = 19,000[tex](.83)^{3}[/tex]

y =$10,863.95

Please explain, thank you

Answers

Answer:

C. 2.

Step-by-step explanation:

The graph descends from the left  so the coefficient of the leading term is negative. It is also a cubic equation with zeros of -20, about 6.5 and about 13. so we can write the equation as below.  The last 2 values can only be guessed because the x axis only shows values which are multiples of 5.

f(x) = a(x + 20)(x - 6.5)(x - 13)   where a is  a negative constant.

(This is only an approximation).

By the Remainder theorem, when the expression is divided by (x + 10):

f(-10) = -20 so we have

-20 = a (-10 + 20)(-10-6.5)(-10 - 13)

(10)(-16.5)(-23)a = -20

a = -20 / (10)(-16.5)(-23)

a = -0.0053

When  the equation is divided by (x - 10) then f(10)  is the remainder so substituting we have as the remainder:

-0.0053(10+20)(10-6.5)(10 -13)

-0.0053 * 30 * 3.5 * -3

= 1.7 approximately.

Looks like the answer is 2.

Help please URGRENTTTTT
The graph below shows a company’s profit f(x), in dollars, depending on the price of pens x in dollars sold by the company:
Part A: what do the x-intercepts and maximum value of the graph represent? What are the intervals where the function increasing and decreasing, and what do they represent about the dale and profit?
Part B: what is an approximate average rate of change of the graph from x=3 to x=5, and what does this rate represent?
Part C: describe the constraints of the domain

Answers

Answer:

Part A

The x-intercepts are reflecting zero-profit: (0, 0) and (6, 0).

The maximum value of the graph is at vertex (3, 120): maximum profit when the price is $3.

The function is increasing until the vertex, between x-value of 0 to 3 and is decreasing once it reached the vertex, between x-value of 3 to 6.

In the first interval the sale and profit increases, in the second interval the sale and profit decreases.

Part B

Average rate of change from x = 3 to x = 5 is:

(f(5) - f(3))/(5 - 3) = (60 - 120)/2 = -30

This represents the profit drop of $30 per $1 price increase when price changes from $3 to $5.

Part CThe domain is representing the price. It should be profitable so it is between $0 and $6.

The surface area of a cylinder is given by the formula

S = 30πr + 2πr2

How many times greater is this compared to a circle with A = πr2

Answers

Answer:

[tex] x = \frac {30}{r} + 2 [/tex]

Step-by-step explanation:

Given the following data;

S.A of cylinder = 30πr + 2πr²Area of circle = πr²

To find how many times greater is the S.A compared to the area, we would have to divide the surface area (S.A) of the cylinder by the area of circle.

Let the unknown variable be x.

[tex] x = \frac {30 \pi r + 2 \pi r^{2}}{\pi r^{2}} [/tex]

Factorizing the numerator, we have;

[tex] x = \frac {\pi r(30 + 2r)}{\pi r^{2}} [/tex]

Dividing both sides by πr, we have;

[tex] x = \frac {30 + 2r}{r} [/tex]

Simplifying further, we would have;

[tex] x = \frac {30}{r} + 2 [/tex]

Geometry, please answer question ASAP

Answers

BECAUSE ACCORDING TO THE PERIMETER (TRIANGLE ) FORMULA = B * H / 2.

B = BASE.

H = HEIGHT.

THE HEIGHT IS A VARIABLE VLAUE NEEDED IN ORDER TO ONTINUE TO SOLVE AND EVENTUALLY LEADING TO THE ANSWER (TRIANGLE PERIMETER.

if an object is bought for rupees 90 and then sold for a loss of 15% how much was it sold for​

Answers

Answer:

76.50

Step-by-step explanation:

We are given the fact that you bought an object for 90 dollars, and in which you sold said object for a loss of 15%, we are then asked how much would that object be sold for.

To find the answer, we need to subtract the original amount by the percent loss, so :

90 - 15%

15% of 90 is 13.5, therefore :

90 - 13.5

76.5

What is the slope of the line that passes through the points (-20, 18) and (30, 14)?

Answers

Answer:

-2/25

Step-by-step explanation:

Use the slope formula: rise/run to find the slope

Answer:

slope = - [tex]\frac{2}{25}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 20, 18) and (x₂, y₂ ) = (30, 14)

m = [tex]\frac{14-18}{30-(-20)}[/tex] = [tex]\frac{-4}{30+20}[/tex] = [tex]\frac{-4}{50}[/tex] = - [tex]\frac{2}{25}[/tex]

Two similar pyramids have similarity ratio 3:5 find the ratio of the areas and the ratio of the volume

Answers

Answer:

Area=9:25 Volume=81:625

Step-by-step explanation:

Should be squared, might be wrong.

Find the ordered pair $(s,t)$ that satisfies the system
\begin{align*}
\dfrac{s}{2} + 5t &= 3,\\
3t - 6s &= 9.
\end{align*}

Answers

Answer:

[tex]\left(\dfrac{8}{7} , \ \dfrac{17}{35} \right)[/tex]

Step-by-step explanation:

The given system of equations is presented as follows;

[tex]\dfrac{s}{2} + 5 \cdot t = 3[/tex]

3·t - 6·s = 9

Making t the subject of both equations, gives;

In the first equation; t = (3 - s/2)/5

In the second equation; t = (9 + 6·s)/3

Equating both values of t to find the the values that satisfies both equations, gives;

(3 - s/2)/5 = (9 + 6·s)/3

3 × (3 - s/2) = 5 × (9 + 6·s)

9 - (3/2)·s = 45 + 30·s

45 - 9 = (30 + (3/2))·s

36 = (63/2)·s

s = 36/(63/2) = 8/7

t = (3 - s/2)/5

∴ t = (3 - (8/7)/2)/5 = 17/35

Therefore, the ordered pair is (8/7, 17/35)

question 22 , the triangle one

Answers

9514 1404 393

Answer:

  9.1 cm

Step-by-step explanation:

Corresponding sides of similar triangles are proportional.

  PQ/PR = AB/AC

  PQ/21.7 = 5.2/12.4 . . . . . . . . . . . . . . fill in the given values

  PQ = 21.7(5.2/12.4) . . . . . multiply by 21.7

  PQ = 9.1 . . . cm

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