Lines l1 and l2 are parallel and l3 is a transversal.



Which statement is true?

A
m∠2+m∠4=180°

B
m∠2+m∠3=180°

C
m∠1=m∠4

D
m∠1=90°

Answer:

There are different kinds of shapes. The shapes have been sorted below:

The term shape is a word that connote the form or dimensions  of an object and also their outline.

It is made up of outer boundary and also outer surface. Most of everything in the world today do have shape.

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Answer:

i think it is 102

Step-by-step explanation:

first u solve the equation to find

then substitute and solve for at a tb

next just add them to find

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Answer:  [tex]\textsf{Slope = 6}[/tex]

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Given:  [tex]\textsf{f(x) = 6x + 7}[/tex]

Find:  [tex]\textsf{The slope of the equation}[/tex]

Solution: Looking at the equation it is in standard form which is y = mx + b where m is the slope and b is the y-intercept.  Looking at our expression we can see that m is equal to 6 which is our slope.

Therefore, the slope of our expression is equal to 6.

You need to use y=mx+c to answer this so basically

gradient/slope (m) is 1.5 and the y-intercept (c) is -2

Hope this helps :)

[tex]\triangleright[/tex]Hii! [tex]\triangleleft[/tex]

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

[tex]\triangleright[/tex] [tex]\stackrel\circ{\rightsquigarrow\circ\boldsymbol{\underbrace{Answer}}}\circ\leftharpoonup[/tex] [tex]\triangleleft[/tex]

[tex]\stackrel\circ{\rightsquigarrow\circ\boldsymbol{\underbrace{Explanation}}}\circ\leftharpoonup[/tex]

[tex]\bullet[/tex] Let's start by examining the equation we are working with more closely

-- ↩

This particular equation is provided to us in "slope intercept form".

--

The slope intercept formula is "[tex]\boldsymbol{y=mx+c}[/tex]"

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In this formula  the letter "m" denotes the slope; the letter "c" denotes the y intercept.

(Remember, variables (letters) represent numbers! ^__^)

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[tex]\bullet[/tex] Above is all the information we need to come up with a solution to the given problem! ^^

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Now it's time we considered this.

"What is the slope & y intercept of the equation y=1.5x-2?"

--

If in the formula y=mx+c, the slope is m, then what is the slope in the equation y=1.5x-2?

The slope is [tex]\large\boxed{\mid \boldsymbol{1.5} \mid}}[/tex].

The y intercept is [tex]\large\boxed{\mid \boldsymbol{-2} \mid}}[/tex]

[tex]\Large\text{Great job!! c:}[/tex]

--

Hope that this helped! Best wishes!

[tex]\textsl{Reach far. Aim high. Dream big.}[/tex]

--

[tex]\underline{\underline{\underline{\overbrace{\boldsymbol{Learn\;More!!}}}}}[/tex]

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Adam can see the horizon at a distance of [tex]\sqrt{6}mi.[/tex]

Given that the height of Pam's eye level above sea level is [tex]324ft[/tex] and the height of adam's eye level above sea level is [tex]400ft[/tex].

The formula used to find the distance they see in miles is [tex]d=\sqrt{\frac{3h}{2}}[/tex].

Let the height of Pam's is [tex]h[/tex] and the height of adam's is [tex]h'[/tex].

The distance of Pam from the horizon can be given as [tex]d=\sqrt{\frac{3h}{2}}[/tex].

Substitute these values,

[tex]\begin{aligned}d&=\sqrt{3\times \frac{324}{2}}\\ d&=\sqrt{486}\\ d&=\sqrt{81\times 6}\\ d&=9\sqrt{6}\end[/tex]

And the distance of adam from the horizon can be given as [tex]d=\sqrt{\frac{3h'}{2}}[/tex].

Substitute these values,

[tex]d'=\sqrt{3\times \frac{400}{2}}\\ d'=\sqrt{600}\\ d'=\sqrt{100\times 6}\\ d'&=10\sqrt{6}[/tex]

The net distance of adam from the horizon is

[tex]\begin{aligned}d_{\text{net distance}}&=d'-d\\ &=10\sqrt{6}-9\sqrt{6}\\&=\sqrt{6}\end[/tex]

Hence, the adam can see the horizon at a distance of [tex]\sqrt{6}mi[/tex].

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Answer:

B

Step-by-step explanation:

it said sooo

Answer:

B

Step-by-step explanation:

Answer:

The correct answer is True

Answer:

True

Step-by-step explanation:

Each branch of a tree diagram is the likelihood of that outcome happening. You multiply as you go along the branch.

option  (B) is correct the graph second represents the line that is perpendicular to the line y = 4x - 2

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

The question is incomplete:

The complete question is:

Consider the equation y = 4x - 2 Which graph shows a line that is perpendicular to the line defined by the given equation?

Please refer to the attached picture.

The given line:

y = 4x - 2

The slope of the line M = 4

The slope of the line which is perpendicular to the above line:

m = -1/4 = -0.25

The graph second has a slope of -0.25

[tex]\rm y\ -2\ =\ \dfrac{\left(2-0.5\right)}{-4-2}\left(x+4\right)[/tex]

y - 2 = -0.25x - 1

y = -0.25x + 1

m = -0.25

Thus, the graph second represents the line that is perpendicular to the line y = 4x - 2 option  (B) is correct.

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Answer: C

Step-by-step explanation:

The value of y when x is equal to zero will be 330.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

The given function is;

y = 330 + 25x

We have to find the value of y when x is equal to zero.

So,

Put x = 0

y = 330 + 25x

y = 330 + 25(0)

y = 330

Hence, the value of y when x is equal to zero will be 330.

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The value of RXV = 35.

A set of equation which have common factor that satisfies them are called system of equations.

It is given that

RXS=15

SXT=3

TXV=7

RXV=??

RX = 15/S

S = 3/XT

XT = 7/V

On solving we get

RX = 15 * XT/3

RX =15 *7/3 V

RXV = 35

Therefore the value of RXV = 35.

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Based on the information given the length of one side of the hot tub is 4. 8 ft. So the correct option is B.

The complete question is given as:-

Ricardo has a square hot tub. He wants to build a square pool next to it that is a dilation of the hot tub using a scale factor of 5. Point Q is the centre of dilation. Square A B C D is dilated to create square A prime B prime C prime D prime. The length of B prime C prime is 24 feet. If the pool is to be 24 ft on each side, what is the length of one side of the hot tub? 4 ft 4.8 ft 6 ft 7.2 ft

The scale factor is defined as the proportion of the new image's size to that of the previous image. decision-making.

Length: Using this formula

Length=B prime C prime length/Scale factor

Where:

B prime C prime length=24 feet

Scale Factor=5

Let plug in the formula

Length=24ft/5

Length=4.8ft

In conclusion, the length of one side of the hot tub is 4. 8 ft.

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5.12 minutes ≈ 5 minutes 7.2 seconds

Distance. The length along a line or line segment between two points on the line or line segment.

Here, The flight path of the airplane is along the line ...

y = -125/135x = -25/27x

The perpendicular line through Mt. Rainier's location is ...

 y = 27/25(x -56) -40

In standard form, these two equations are ...

25x +27y = 0

27x -25y = 2512

The point of closest approach has the coordinates that are the solution to these two equations:

(x, y) = (33912/677, 31400/677)

The distance d from the origin to this point is given by the Pythagorean theorem (distance formula) as ...

d = 1256√(2/677) . . . . . km

This distance can be converted to time using the speed of the airplane:

1256√(2/677) X 60/800 =  94.2√(2/677) ≈ 5.120019 mins

Thus, 5.12 minutes after departing JBLM you will be closest to Mt. Rainier.

The attached graph shows the geometry of the problem.

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Answer:

m=3

b=(0,5)

Step-by-step explanation:

Answer:

[tex]\cfrac{-4}{3} [/tex] and [tex]\cfrac{1}{2} [/tex].

Step-by-step explanation:

Equation:

[tex] \rm \: \: (2x - 1)(3x + 4) = 0[/tex]

Solution:

Set factors equal to zero,that is:

[tex](2x - 1) = 0 \: \: \: \: \: \: \: \: \: \: \: ...(1)[/tex]

[tex](3x + 4) = 0 \: \: \: \: \: \: \: \: \: \: \: \: ...(2)[/tex]

Solving for equation 1:

Solving for equation 2:

Hence,the solutions to the quadratic equation in factored form is [tex]\cfrac{-4}{3} [/tex] and [tex]\cfrac{1}{2} [/tex].

[tex]\rule{225pt}{2pt}[/tex]

Good luck on your assignment!

x=1/2 and x=-4/3 are the solutions of the equation (2x - 1)(3x + 4) = 0

A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .

The given equation is (2x - 1)(3x + 4) = 0

We have to find the solutions of the equation

As the equation is in factored form

We take each factor and solve for solution

2x-1=0

2x=1

Divide both sides by 2

x=1/2

Now 3x+4=0

3x=-4

Divide both sides by 3

x=-4/3

Hence, x=1/2 and x=-4/3 are the solutions of the equation (2x - 1)(3x + 4) = 0

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Range for the given Exponential function [tex]f(x) = 3(16)^{{\frac{3}{4}x}[/tex] is f(x) > 0.

the correction option is a). f(x) > 0

The function given in, the question is exponential function is given by
[tex]f(x) = 3(16)^{{\frac{3}{4}x}[/tex]  Which is an exponential function. The domain of the  give function is (-∞, ∞).

The function which is in format f(x) =  [tex]a^{x}[/tex] where, a is constant and x is variable,  the domain of this exponential function  lies   (-∞, ∞).  

the Question seems to be incomplete. And options could be
a) f(x) > 0              c) f(x) ≤ 0
b) f(x) < 0              d) f(x) ≥ 0

Simplification of the given equation
[tex]f(x) = 3(16)^{{\frac{3}{4}x}[/tex]      
[tex]f(x) = 3(2^4)^{{\frac{3}{4}x}[/tex]
[tex]f(x) = 3(8)^{x}[/tex]

clearly, the range of the exponential function is f(x) > 0.

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The question was incomplete. Below you will find the missing content.
The square root function f(x) is x <= 7

Options are :

A. 7 is subtracted from the x-term inside the radical.
B. The radical is multiplied by a negative number.
C. 7 is added to the radical term.
D. The x-term inside the radical has a negative coefficient.

Option D is correct, which is : The x-term inside the radical has a negative coefficient.

Given, the domain of the square root function f(x) is x <= 7
Consider the function y = √x.
The domain of this function is x ≥ 0 and the range is y ≥ 0.
The expression inside the radical must be greater than or equal to zero.
Now, if x ≤ 7
x - 7 ≤ 0
7 - x ≥ 0
And the function y = √(7-x) will have the domain x ≤ 7.
This implies that the x-term inside the radical has a negative coefficient.
Therefore, the statement that the x-term inside the radical has a negative coefficient must be true.

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Answer:

x=20

Step-by-step explanation:

80^1/4x

or,80/4=x

or,20=x

•°•x=20

ans

Answer:

17.50 × 0.35 = 6.13

Step-by-step explanation:

Answer:

That would be $11.37

Step-by-step explanation:

First Multiply the discount and the original price

17.50(0.35)=  6.125 = 6.13

Use that answer and subtract it from the original price

17.50 - 6.13 = 11.37

Answer:

  a) positive real zeros: 2 or 0; negative real zeros: 2 or 0; complex zeros: 0, 2, or 4. (rule of signs)

  b) ∪-shaped, as for an even-degree polynomial with positive leading coefficient. See attached.

  c, d) See attached

Step-by-step explanation:

Descarte's rule of signs gives bounds on the number of positive and negative real roots. The numbers it gives may be reduced by multiples of 2, as complex roots will come in conjugate pairs. The total number of roots of all kinds will match the degree of the polynomial.

Synthetic division is essentially polynomial long division with some modifications:

__

The signs of the terms of the given polynomial are + - - - +. There are two sign changes, so 2 possible positive real roots.

When the signs of the odd-degree terms are changed, the signs become + + - + +. There are still two sign changes, so 2 possible negative real roots.

Either or both of these numbers can be reduced by 2 if the roots include a conjugate pair. That is, there may also be 0 possible positive real roots, and 0 possible negative real roots.

The number of non-real (complex) zeros may be any multiple of 2 up to the degree of the polynomial. The may be 0, 2, or 4 possible non-real zeros.

__

The graph is the first attachment. It shows 4 real zeros: x = -4, -2, 1, 6.

Since the polynomial is of even degree (4) and has a positive leading coefficient (+1), we expect the general shape to be ∪-shaped. It is.

__

The second attachment shows synthetic division using x = -4. (The binomial divisor is (x+4).) The remainder (lower right value in the tableau) is the value of y when x=-4. The third attachment shows synthetic division using the value x=3. (y is -210 when x=3.)

Maybe this is the table you want:

  [tex]\begin{array}{|c|c|c|}\cline{1-3}x&-4&3\\\cline{1-3}y&0&-210\\\cline{1-3}\end{array}[/tex]

__

The second attachment shows synthetic division by the factor (x+4).

_____

Additional comment

The synthetic division attachments show instructions for carrying out the synthetic division and interpreting the results. As we said above, "the entry on the left" is the opposite of the constant in the binomial divisor. It is the actual value of x you want to use to evaluate the function.

The equations shown are merely for the purpose of indicating the operations that are used. An actual synthetic division tableau is simply a 3-row table of numbers, with the bottom row being the quotient coefficients and remainder.

Answer: f(-2) = 8

Step-by-step explanation: On the graph there’s a point (-2,8), so f(-2), which just means -2’s y value on the graph, is 8.

Part (a)

[tex]247 \approx 200\\\\201 \approx 200\\\\\implies 247 \times 201 \approx 200 \times 200=\boxed{40000}[/tex]

Part (b)

[tex]756 \approx 800\\\\8674 \approx 9000\\\\\implies 756 \times 8674 \approx 800 \times 9000 =\boxed{7200000}[/tex]

Part (c)

[tex]3025 \approx 3000\\\\2007 \approx 2000\\\\\implies 3025 \times 2007 \approx 3000 \times 2000=\boxed{6000000}[/tex]

Answer:

4800

Step-by-step explanation:

If a question is asking for the "sum" of numbers, this just means we have to add them altogether.

975+983+923+913+985 = 4779

To find the hundredth place, we use our place value. 4 is in the thousands column, and 7 is in the hundreds. Once we find the hundreds, we need the number to the right of it (7).

7 > 5 so we round up. 7 becomes 8.

4800.

Answer:

x = 11.5

Step-by-step explanation:

Formula

a^2 = b^2 + c^2 - 2*b*c * cos(A)                     Substitute givens in formula

Givens

Solution

a^2 = 31^2 + 26^2 - 2 * 31 * 26 * cos(21)       Find -2*31*26*cos(21)

a^2 = 961 + 676  -1504.93                             Combine

a^2 = 1637 -1504.93                                      Combine again

a^2 = 132.07                                                   Take the √ on both sides

√a^2 = √132.07

a = 11.5 Rounded.

Answer

x = 11.5

Answer:

Part A: The appropriate design for the study includes;

Treatment used; Chamomile oil treatment

Method of treatment; Application of the chamomile oil to the cervical region of patients experiencing pain due to pinched nerves

Treatment assignment; Treatment should be assigned to patients with pinched nerves

Variables that should be measured; Reduction or relief of pain as reported by the patients

Part B; The study should be administered equally to both male and female as the symptoms can be experienced by both male and female

Part C; The design could be double blind by replacing the chamomile administered by placebo, thereby preventing bias from both researcher and participants in the results of the research.

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

15-8+-9

bodmas

15-8=7

7-9

=-2

Answer:

C

Step-by-step explanation:

using the rule of exponents

[tex](\frac{a}{b}) ^{m}[/tex] = [tex]\frac{a^{m} }{b^{m} }[/tex] , then

[tex](\frac{-2}{3}) ^{3}[/tex]

= [tex]\frac{(-2)^{3} }{3^3}[/tex]

= [tex]\frac{-8}{27}[/tex]

= - [tex]\frac{8}{27}[/tex]

Definition:

[tex]a^2=a\cdot a\\\\a^3=a\cdot a\cdot a\\\\a^4=a\cdot a\cdot a\cdot a\\\vdots\\a^n=\underbrace{a\cdot a\cdot a\cdot...\cdot a}_{n}[/tex]

also

[tex]a^1=a\\\\a^0=1[/tex]

We have

[tex]\left(-\dfrac{2}{3}\right)^3=\left(-\dfrac{2}{3}\right)\cdot\left(-\dfrac{2}{3}\right)\cdot\left(-\dfrac{2}{3}\right)=-\dfrac{2\cdot2\cdot2}{3\cdot3\cdot3}=-\dfrac{8}{27}[/tex]

[tex]\huge\boxed{C:\ -\dfrac{8}{27}}[/tex]

Answer:

the cost price is Rs. 4500 and the sale price is Rs. 5040.

Step-by-step explanation:

Let the cost price of the compute be Rs. x.

The profit earned is, Rs. 540.

The profit percentage is, 12%.

The formula to compute profit is:

Profit = SP - CP

\begin{gathered}540=x[1+\frac{12}{100}]-x\\540=1.12x-x\\540=0.12x\\x=\frac{540}{0.12}\\x=4500\end{gathered}540=x[1+10012]−x540=1.12x−x540=0.12xx=0.12540x=4500

Compute the selling price as follows:

SP = CP + profit

     = 4500 + 540

     = 5040

Thus, the cost price is Rs. 4500 and the sale price is Rs. 5040.

Answer:

The answer is the second choice: 2, 3, 6, 13, 16.

Step-by-step explanation:

Which set of numbers that has an average of 8. To find the mean, which is the same as average, we have to add the number and divide by how many numbers there are. Let's check the first set of numbers:

3+5+7+8+12=35. 35/5=7. So, we can cross out the first choice.

Let's check the second one:

2+3+6+13+16=40. 40/5=8.

The answer is the second choice: 2, 3, 6, 13, 16.

Hope this helps!

If not, I am sorry.

Answer:

Its B

Step-by-step explanation:

If you add up all the numbers and divide by the number of numbers their is your answer

Step-by-step explanation:

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