Using the Exterior Angle Theorem, solve for the identified angle. WILL MAKE Brainliest!

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Answer:

Equations 1 and 5.

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

We can simply each answer choice to find those which have no solution:

1.  6x + 1 = 3(2x - 4)

6x + 1 = 6x - 12

0 ≠ - 13, NO SOLUTION.

2.  2 - 5x = 7x - 12

14 = 12x

x = 7/6. 1 SOLUTION.

3.  4(3 - x) = 2(6 - 2x)

12 - 4x = 12 - 4x

0 = 0. INFINITE SOLUTIONS.

4.  5(x + 2) = 2(x - 4)

5x + 10 = 2x - 8

3x = -18

x = -6. 1 SOLUTION.

5.  -4(x + 3) = 4(-x - 1)

-4x - 12 = -4x - 4

0 ≠ 8. NO SOLUTIONS.

Therefore, the only equations with no solutions are equations 1 and 5.

Answer:

 x + 1 = 3(2x – 4) and –4(x + 3) = 4(–x – 1).

   Hope this was helpful!

Answer:

AB=62, BC=61, AC=57, PR=75, PQ=52.5, QR=52.5

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Hyperbola is the conic section described by the equation 4x² = 10 +y²

A parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped.

To identify the type of conic section from an equation whether it is circle, or ellipse a let suppose the equation as,

Ax²+By²+Cx+Dy+E=0

The given equation is 4x² = 10 +y²

4x²-y²=10

Divide the whole equation by 10

4x²/10 - y²/10=1

2x²/5- y²/10=1

x²/(1/2)- y²/10=1

The given equation is in the form of hyperbola.

Hence, hyperbola is the conic section described by the equation 4x² = 10 +y²

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Answer:

  -2/3

Step-by-step explanation:

  [tex]\ln{\dfrac{1}{\sqrt[3]{e^2}}}=\ln{e^{-\frac{2}{3}}}=-\dfrac{2}{3}[/tex]

Step-by-step explanation:

I hope i got it right...

Answer:

12.8 gallons of paint

Step-by-step explanation:

Multiply 16 by [tex]\frac{4}{5}[/tex]

16(4/5) = 12.8

So, she will need 12.8 gallons of paint

Answer:

[tex]\frac{1}{2}[/tex] is a rational number

Step-by-step explanation:

Given

[tex]Real\ Number = \frac{1}{5}[/tex]

Required

Determine which set of numbers it belongs to

Analyzing the options one after the other;

1. Whole numbers: 0, 1, 2, 3....

2. Natural numbers: 1, 2, 3, 4... 3.

3. Irrational numbers are numbers that can't be expressed as fractions

The option that answers this question is rational numbers because [tex]\frac{1}{2}[/tex] can be expressed as decimal and fraction interchangeable.

Hence;

[tex]\frac{1}{2}[/tex] is a rational number

Answer:

a) t = 7x + 15

b) Nicole is paid $50 for 5 hours.

Step-by-step explanation:

flat fee = a price that will not change = $15

$7 per hour = a price of $7 for an unknown amount of hours (x) = 7x

Let "x" = amount of hours.

Let "t" = total cost.

Set the equation:

t = 7x + 15

Nicole babysits for 5 hours. Plug in 5 for x in the equation:

t = 7x + 15

t = 7(5) + 15

t = 35 + 15

t = 50

Nicole is paid $50 for 5 hours.

~

Answer:

D

Step-by-step explanation:

Least common denominator of 7 and 8 = 56

[tex]\frac{-1}{8}=\frac{-1*7}{8*7}=\frac{-7}{56}\\\\\\\frac{1}{8}=\frac{1*7}{8*7}=\frac{7}{56}\\\\\\\frac{-1}{7}=\frac{-1*8}{7*8}=\frac{-8}{56}\\\\\\\frac{1}{7}=\frac{1*8}{7*8}=\frac{8}{56}[/tex]

-8/56   , -7/56 , 7/56 ,   8/56  ,

-1/7 , -1/8 , 1/8 , 1/7

Answer:

Step-by-step explanation:

9/5=9*3/5*3=27/15

1/3=5*1/5*3=5/15

27/15-5/15=22/15=(15+7)/15=15/15+7/15

=1+7/15=1 7/15

Answer:

Below

Step-by-step explanation:

[tex]\frac{9}{5} - \frac{1}{3} \\\\\mathrm{Least\:Common\:Multiplier\:of\:}5,\:3:\quad 15\\\\\mathrm{Adjust\:Fractions\:based\:on\:the\:LCM};\\\\\frac{9}{5}=\frac{9\times\:3}{5\times\:3}=\frac{27}{15}\\\\\frac{1}{3}=\frac{1\times\:5}{3\times\:5}=\frac{5}{15}\\\\=\frac{27}{15}-\frac{5}{15}\\\\\mathrm{Since\:the\:denominators\:are\:equal,\\combine\:the\:fractions}:\\\\\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}\\\\=\frac{27-5}{15}\\\\=\frac{22}{15}[/tex]

[tex]22\div 15 = 1 \:remainder\: 7 = \\1 \frac{7}{15}\\[/tex]

Answer:

x² - 1

Step-by-step explanation:

When x - 1 = 3 and x + 1 = 5 we know that x = 4 so (x - 1)(x + 1) = 4² - 1 when x = 4, 5² - 1 when x = 5 and so on. If you look carefully you will notice a pattern, the product is always x² - 1 so the answer to the blank is x² - 1.

Answer:

Bob will spend on ice cream for the team $20.25

Step-by-step explanation:

Hello!!!

In this problem we are expected to solve for the total amount that Bob will spend to buy

8 players ice cream cookies  and

5 players ice cream cones

let us calculate as follows

Cost of ice cream cookies for 8 players = 8*1.75=  $14

Cost of ice cone for 5 players = 5*1.25=  $6.25

Total cost =  $14+ $6.25= $20.25

Anbrysoin hatchr brysonhatcher bryon hat5cher bryson hatcher btys]

Step-by-step explanation:

Answer:

With bar charts, each column represents a group defined by a categorical variable; and with histograms, each column represents a group defined by a continuous, quantitative variable.

Step-by-step explanation:

hope that helps

The answer is C. You just simplify all of the terms.

I think it is C but i'm not entirely sure sorry if its wrong gotta go

Answer:

64 , -128 , 256

Step-by-step explanation:

in each term , -2 is being multiplied.....

Answer:

2922

Step-by-step explanation:

450 + 77 + 2395=

450 + 77= 527

527 + 2395=2922

Hope this helped!!

Answer:

76 and 34

Step-by-step explanation:

See attached

As we see this is a polygon with  sides of AB=BC=AE and CD=DE

Area is the sum of areas of a square ABCE with side 8 and a triangle CDE with base of 8 and height of 3:

Answer:

f(x)⁻¹ = -3x + 15

Step-by-step explanation:

y = -1/3x + 5

x = -1/3y + 5

x - 5 = -1/3y

(x - 5)(-3) = y

-3x + 15 = y

Answer:

x>-6

Step-by-step explanation:

-2x-4>8

-2x>8+4

-2x>12

x>12/-2

x>-6

hope u understand : )

Answer:

F  ( 4 (   [tex]\frac{x}{9}[/tex]  ) +9  ) =  [tex]\frac{16x}{9}[/tex] +  36

Step-by-step explanation:

Answer: Division

Step-by-step explanation: divide both sides by 64

Answer:

B

Step-by-step explanation:

An example of a survey is A. Interviewing college students to find what percentage expects a job immediately after graduation.

A survey is defined as the collection of the data or o=interpretation of the data using a list of questions asked to a particular sample of a population which determines the whole population.

From the given options, we can clearly say that C and D are not an example of a survey since survey doesn't make use of the comparison process.

In both C and D, effectiveness of mouthwash and hair product are done by comparing two groups.

So it is not a survey.

In the case of cholesterol readings, only the elderly people is taken in to account.

So, the best option is A.

Hence the survey example is Interviewing college students to find what percentage expects a job immediately after graduation.

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Answer: 1 is 2 rectangles, 4 in a triangle and a rhombus I think.

Step-by-step explanation:

It says what would the shapes be shown as if it was split on the line.

Answer/Step-by-step explanation:

m<MAH = 90° (linear pair. It is also supplementary to m<MAK = 90°)

m<MAL + m<HAL = m<MAH

Which is:

(9x + 1) + (x + 9) = 90°

Solve for x

9x + 1 + x + 9 = 90

Collect like terms

9x + x + 1 + 9 = 90

10x + 10 = 90

Subtract both sides by 10

10x + 10 - 10 = 90 - 10

10x = 80

Divide both sides by 10

x = 8

Find m<MAL

m<MAL = 9x + 1

Plug in the value of x

m<MAL = 9(8) + 1 = 72 + 1 = 73°

Find m<HAL

m<HAL = x + 9

m<HAL = 8 + 9 = 17°

Answer:

y=50x+200 can i get the brainliest?

Step-by-step explanation:

Answer and Step-by-step explanation:

H= {all numbers of the form 3n+1, for n natural number} under multiplication:

Sol: all number of the form 3n+1, for n natural number so, put n=2, 3(2) +1 = 7, which is a natural number. A natural number under multiplication does not form a group because its inverse does not exist.

J= {all number of the form 3n+2, for n natural number} under multiplication:

Sol: all the number of the form 3n+2, n is the natural number does not form a group under multiplication because the identity element does not form in this set, and inverse does not exist.

K= {perfect squares of integers} under addition:

Sol: perfect square of integers under addition does not form a group because the inverse does not exist. For example, for any element x, inverse (-x) does not exist because of a square integer.

L= {perfect squares of integers} under multiplication:

Sol: a set of the perfect square of integers under multiplication is not a set, because it does not have the inverse property

M= {all numbers of the form 2, for n natural number} under addition:

Sol: natural number in the form of 2n, n is a natural number under addition is not a group as it does not have identity property. Identity property, under addition, is zero.

N= {all number of the form 2n, n is natural number} under multiplication:

All number of the form 2n, n is the natural number under multiplication is not a group. Because its inverse does not exist. For example, an element x belongs to a natural number; its inverse (1/x) does not exist in this set.

Answer:

35°

Step-by-step explanation:

Produce BC in the direction of C which intersects DE at any point say P.

AB || ED... (given)

So, BP would be transversal.

[tex] \therefore m\angle DPB + m\angle FBP = 180\degree\\... (By\: interior \: \angle \: Postulate) \\

\therefore m\angle DPB + 125\degree = 180\degree\\

\therefore m\angle DPB = 180\degree - 125\degree \\

\huge \red {\boxed {\therefore m\angle DPB = 55\degree}} \\

m\angle DCP = 180\degree - 90\degree \\

m\angle DCP = 90\degree \\

x = 180\degree - (90\degree + 55\degree) \\

x = 180\degree - 145\degree \\

x = 35\degree [/tex]

The value of x or the angle CDE will be 35 degrees.

The theorem of vertical angles or angles that are vertically opposing According to the theorem, two opposing vertical angles that are created when two lines cross one other are always equal to one another.

Given that the angle CBF is 125 degrees. The value of the angle CDE will be calculated as below:-

Calculate angle ABC by using supplement angle property:-

∠ABC = 180 - 125 = 55

Draw a horizontal line PQ at point C.

Angle PCQ = 35

Angle CDE = 35

Therefore, the value of x or the angle CDE will be 35 degrees.

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Answer:

The correct answer is H. Independent variable.

Step-by-step explanation:

The independent variable, typically represented with the variable x, is the input of the function.  In an experiment, this is the variable that the scientist changes in order to see a change in the dependent variable.  The independent variable is usually plotted along the x-axis and its values represent the domain of the function.

The dependent variable, conversely, is typically represented with the variable y, and represents the output of the function.  In an experiment, the dependent variable would represent that change that occurs due to a change in the independent variable.  The dependent variable is usually plotted along the y-axis and its values represent the range of the function.

Hope this helps!