The sum of the angle measures of a triangle is 180°. Two angles of a triangle measure 40°and 60°, so Juan concludes that the third angle measures 80°. What do you notice about the how the conclusions were made from the statement above?

Answer:

[tex]g(x)=f(2)[/tex]  for x = 4

Step-by-step explanation:

If [tex]f(x)=3x-1[/tex]

and   [tex]g(x)= 2x-3[/tex]

Then for which value of "x" does [tex]g(x)=f(2)[/tex] ?

So start by evaluating what [tex]f(2)[/tex]  is:

[tex]f(x)=3x-1\,\,\,\,therefore\,\,\,\, f92)=3\,(2)-1=6-1=5[/tex]

Then,we have to find for which value of x [tex]g(x)=5[/tex]

so we write g(x) explicitly:

[tex]2x-3=5\\2x=5+3\\2 x = 8\\x = 8/2\\x=4[/tex]

Answer:

no solution

Step-by-step explanation:

Given

4 + x = 3(x + 2) - 2x ← distribute and simplify right side

4 + x = 3x + 6 - 2x

4 + x = x + 6 ( subtract 4 from both sides )

x = x + 2 ( subtract x from both sides )

0 = 2 ← not possible

This indicates the equation has no solution

Answer:

No solutions

Step-by-step explanation:

Step 1: Write out equation

10 + 5c = 5c

Step 2: Subtract 5c on both sides

10 + 5c - 5c = 5c - 5c

10 ≠ 0

Since 10 doesn't equal 0, we do not have a solution for this equation.

Answer:

no solutions

Step-by-step explanation:

Let's solve your equation step-by-step.

10+5c=5c

Step 1: Simplify both sides of the equation.

5c+10=5c

Step 2: Subtract 5c from both sides.

5c+10−5c=5c−5c

10=0

Step 3: Subtract 10 from both sides.

10−10=0−10

0=−10

Answer:

There are no solutions.

HOPE THIS HELPS!!!!!! :)

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Answer: see attachments

Step-by-step explanation:

Answer:

Rational

Step-by-step explanation:

Rational numbers are numbers that can be written as a ratio of integers.

-25 can be written as -25 / 1.  So it is rational.

Answer:

-i

Step-by-step explanation:

rewrite

one to any power is one

multiply

rewrite

Answer:

-i

Step-by-step explanation:

i^30 × i

(i^2)^15 × i

(-1)^15 × i

-1 × i

-i

Answer:

47

Step-by-step explanation:

Ok first lets do this with small numbers like 10 and 5. How many integers are between 10 and 5? which does not include 10 or 5. You do 10 minus 5 which is 5, but if you count how many integers are between them with your fingers you get 4.

so now you know to get the integers between 2 large numbers you subtract like normal then you mines a 1.

so 63 - 15 - 1 = 47

There are 47 integers between 15 and 63

Hope this helps :)

There have been 47 integer arithmetic in the range of 15 to 63.

Number of integer between two number = Highest number - Lowest number - 1

So,

Number of integer between 15 and 63

63 - 15 - 1

63 - 16= 47

So,

Number of integer between 15 and 63  = 47

Learn more:

https://brainly.com/question/13212492?referrer=searchResults

Answer:

23.8

Step-by-step explanation:

To find the value of QR, look over the information given. R is a point between the points Q and S. Since the value of SR is 44.6, and the value of SQ is 68.4, subtract 44.6 from 68.4 to get 23.8, which will be the answer.

Answer:

0.17

Step-by-step explanation:

0.017 times 10 equals to 0.17

Step-by-step explanation:

let us consider the elevation of the sun is x

then

x=6×6

x=36

Step-by-step explanation:

[tex]\blue\star[/tex]sn = 549

[tex]\blue\star[/tex] d = 3

[tex]\blue\star[/tex]56th term of Ap

[tex]\blue\star[/tex]the sum of 32 tem

Answer:

C

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

r = [tex]\frac{5}{8}[/tex] t - 9 ← is in slope- intercept form

with y- intercept c = - 9

Function 2 has the ordered pair (0, - 9 )

This indicates that when t = 0 , r = - 9

This is the y- intercept at - 9

Thus both functions have the same y- intercept

Answer:

a - right trapezoid

b - isosceles triangle

c - equilateral triangle

d - kite

Answer:

A) [tex]\huge\boxed{Trapezoid }[/tex]

Because of a pair of parallel lines.

B) [tex]\huge\boxed{Isosceles \ Triangle}[/tex]

Because of two equal sides.

C) [tex]\huge\boxed{Equilateral \ Triangle}[/tex]

Because of three equal sides.

D) [tex]\huge\boxed{Kite}[/tex]

Having 2 pairs of equal adjacent sides.

Answer:

[tex]\mathbf{r = \dfrac{400p }{ 500 -p}}[/tex]

Step-by-step explanation:

Given that:

Last Sunday a certain store sold copies of Newspaper A for $1.00 each

A = 1

and copies of Newspaper B for $1.25 each,

B = 1.25

and the store sold no other newspapers that day. If r percent of the store's revenue from newspaper sales was from Newspaper A and if p percent of the newspapers that the store sold were copies of Newspaper B.

Then ;

[tex]r = \dfrac{A}{A+1.25B} \times 100[/tex]  --- (1)

[tex]p = \dfrac{A}{A+B} \times 100[/tex]        --- (2)

From (2)

[tex]A+B = \dfrac{A}{p} \times 100[/tex]

[tex]B = \dfrac{A}{p} \times 100-A[/tex]

[tex]B = \dfrac{A( 100-p)}{p}[/tex]

Substituting the value of B into equation (1), we have:

[tex]r = \dfrac{A}{A+1.25 \times { \dfrac{A( 100-p)}{p}}} \times 100[/tex]

[tex]r = \dfrac{A}{A+1.25 \times { A( 100-p)}} \times 100p[/tex]

[tex]r = \dfrac{100p}{p+125 -1.25 p}[/tex]

[tex]r = \dfrac{100p}{125 -0.25 p}[/tex]

multiplying both numerator and denominator by 4; we have

[tex]r = \dfrac{4(100p) }{ 4(125 -0.25) p}[/tex]

[tex]\mathbf{r = \dfrac{400p }{ 500 -p}}[/tex]

Answer: 2

Step-by-step explanation: 16/8=2

Answer:

-19-3x= -1(x+4).

-19-3x= -5(x+4).

-19-3x= -5x-1.

-19+1= -5x+3x.

-18= -2x.

x=9.

Answer:

She would have 130 dollars

Step-by-step explanation:

There are 52 weeks in a year. So multiply 2.50 by 52. She would have 130 dollars.

Ashley can expect to save $130 for the trip in exactly one year.

Ashley decided to stop eating chocolate for one whole year to save some spending money for her senior class trip to Mexico.

The amount Ashley typically spends a week on chocolate =  $2.50.

We have to find how much Ashley can save in one year if we can save $2.50 per week.

There are 365 days in a year and we have 7 days in a week.

If we divide 365 by 7 we get,

365 / 7 = 52.14.

which means 52 weeks.

So in one year, we have 52 weeks.

We can write this statement "Ashley typically spends $2.50 a week on chocolate" as :

1 week = $2.50

Multiply by 52 on both sides.

we get,

52 x 1 week = 52 x $2.50

52 weeks = $130

Thus, we can say that in one year Ashley can save around $130 if she saves $2.50 in a week.

Learn more about savings word problem here:

https://brainly.com/question/24647187

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Answer:

[tex]\boxed{10}[/tex]

Step-by-step explanation:

-32 - (-42)

→ Remember that 2 minuses cancel to make a plus

-32 + 42 = 10

Answer:

[tex] - 32 - ( - 45) \\ = - 32 + 45 \\ = 10[/tex]

Note :

Minus Minus -(-) = plus (+)

Answer:

a = -3, b = 6

Step-by-step explanation:

ax + 6 = -3x + b

If a = -3 and b = 6, then the equation would be -3x + 6 = -3x + 6, which would have infinitely many solutions.

If we isolate x, we have (a + 3) x = b - 6. We want the equation to be 0 = 0 for infinitely many solutions, so a has to be -3 and b has to be 6.

Answer:

Step-by-step explanation:

4x² - 2y

when

x = - 2 and y = - 1

Substitute the values of x and y into the expression and simplify

That's

[tex]4( - 2)^{2} - 2( - 1) \\ = 4(4) + 2 \\ = 16 + 2[/tex]

We have the final answer as

Hope this helps you

Answer:The answer will be -18 because you are subtracting 2 two times!!

Step-by-step explanation:Simply step by step by step answer Hope this helps!️.

Answer:it’s ask me in Jakes class we’re numbered in Order from 1 to 24 jake was asked to choose classmates numbered with 5 to be in his group witch numbered could be the number of classmates in his group

Step-by-step explanation:

Answer: (8.5, 8)

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. Given that the total number of points is  50

2. Each question is worth 5 points

We can now calculate the number of questions by dividing the total points by the worth of each question

the number of question is  = 50/5= 10

hence there are 10 questions available

if he misses 2  questions, which will amount to 10 points his score will be

50-10 = 40 points

Hence if he got x questions wrong his score will be

50-x points

Answer:

2⋅(x  3  −5)

________

      5

​  

Step-by-step explanation: I hope this really help!

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x3"   was replaced by   "x^3".  

STEP

1

:

           x3

Simplify   ——

           5  

Equation at the end of step

1

:

      x3      

 (2 • ——) -  2

      5      

STEP

2

:

Rewriting the whole as an Equivalent Fraction

2.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  5  as the denominator :

        2     2 • 5

   2 =  —  =  —————

        1       5  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

2x3 - (2 • 5)     2x3 - 10

—————————————  =  ————————

      5              5    

STEP

3

:

Pulling out like terms

3.1     Pull out like factors :

  2x3 - 10  =   2 • (x3 - 5)  

Trying to factor as a Difference of Cubes:

3.2      Factoring:  x3 - 5  

Theory : A difference of two perfect cubes,  a3 - b3 can be factored into

             (a-b) • (a2 +ab +b2)

Proof :  (a-b)•(a2+ab+b2) =

           a3+a2b+ab2-ba2-b2a-b3 =

           a3+(a2b-ba2)+(ab2-b2a)-b3 =

           a3+0+0+b3 =

           a3+b3

Check :  5  is not a cube !!

Ruling : Binomial can not be factored as the difference of two perfect cubes

Polynomial Roots Calculator :

3.3    Find roots (zeroes) of :       F(x) = x3 - 5

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  1  and the Trailing Constant is  -5.

The factor(s) are:

of the Leading Coefficient :  1

of the Trailing Constant :  1 ,5

Let us test ....

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        -6.00      

     -5       1        -5.00        -130.00      

     1       1        1.00        -4.00      

     5       1        5.00        120.00      

Polynomial Roots Calculator found no rational roots

Final result :

 2 • (x3 - 5)

 ————————————

      5      

Answer:

2⋅(x  3  −5)

________

     5

Step-by-step explanation:

Answer: The value of x=1.

Measure of CD =1 unit.

Step-by-step explanation:

Given: Segment EC bisects segment AD at C.

That means , EC divided AD into two equal parts AC and CD,

i.e. [tex]AC=\dfrac{AD}{2}[/tex]  

Also it is given that [tex]AD = 6x - 4[/tex] and [tex]AC = 4x - 3.[/tex]

then, we have

[tex]4x-3=\dfrac{6x-4}{2}\\\\\Rightarrow\ 4x-3= 3x-2\\\\\Rightarrow\ 4x-3x=-2+3\\\\\Rightarrow\ x= 1[/tex]

So, the value of x=1.

Now,  CD = AC = 4(1)-3 =4-3 =1 unit.

Hence, Measure of CD =1 unit.

AMSWER

F=m×a

this implies that

a=F/m

a=49/5

a=9.8 m/s^2

(i)F=(m×9.8)N

(ii)F=14×9.8=137.2

(iii)m=F/a

m=215.6/9.8

m=22kg

Answer:

15a

Step-by-step explanation:3times3times3times3times3