7/14 in its simplist form

Explanation:

Here's one way:

At vertex A, draw the vertical angle to the given angle 4. That is, extend AC, rather than AB to show the exterior angle at that vertex.

Now, collapse triangle to one with zero area, so that vertices A, B, C lie on top of each other. You can do this using a dilation scale factor f such that f→0.

The result is that the exterior angles divide the circular space around point ABC into three parts that sum to 360°. Essentially, we have copied each of the exterior angles to the same vertex.

The sum of the measures of the exterior angles is 360°.

_____

Additional comment

This identical approach can be used to show the sum of exterior angles around any convex polygon is always 360°.

Answer:

i dont know

Step-by-step explanation:

k=72

Explanation:

72/6=12

12+5=17

Answer:

  k = 72

Step-by-step explanation:

This is a 2-step linear equation. It is solved in the usual way.

Step 1: add the opposite of the constant that is on the side with the variable

  k/6 +5 -5 = 17 -5

  k/6 = 12

Step 2: multiply by the reciprocal of the coefficient of the variable.

  (k/6)(6) = (12)(6)

  k = 72

Answer:

x = 19

Step-by-step explanation:

Step-by-step explanation:

6x + 5x - 6 = 32 + 9x

11x - 6 = 32 + 9x

Bringing like terms on one side

11x - 9x = 32 + 6

2x = 38

x = 38/2 = 19

[tex] {x}^{2} - 16x + 64 = [/tex]

[tex] ({x - 8})^{2} [/tex]

Thus :

[tex]C = 64[/tex]

Answer:

g=10

b=1

m=1

Step-by-step explanation:

Answer:

y=-3x^2+2x+201

Step-by-step explanation:

Answer:

b: 8

Step-by-step explanation:

with dilating by 2, the B' figure would be bigger than B

because 4*2 = 8

Answer:

-48

Step-by-step explanation:

-6=x/8

-6×8=x

x=-48

What is the solution to the equation? −6 = x/8 Enter your answer in the box. x = ?


The solution to the equation is: -48

------------Verified Commentry from a K12 Representitive------------

Answer:

t = 6 years

Step-by-step explanation:

Use the simple interest formula:  i = prt, where p is the principal, r is the interest rate as a decimal fraction, and is the elapsed time, in years.

Here we want to know how long it will take for the interest alone to reach $449.40.  We first solve i = prt for t, obtaining t = i/(pr).

Here, the length of time is t = ($449.40) / (0.06*$1498.00).  This works out to

t = 5.9947, or approximately 6 years.

t = 6 years

Answer: What's even the question? It's not asking anything to solve

Step-by-step explanation:

Oh im sorry feel better :( Im here if you need someone to talk to

Answer:

Sorry to hear that. I hope you feel better!

Step-by-step explanation:

Answer:

See image

Step-by-step explanation:

Simple way: The cost of three items is given. Divide by 3 to find the cost of one item.

Next level: write a proportion by comparing like quantities (compare things that are the same in the same order)

Cost/numbers of items = Cost/number of items

We know all but one piece of information:

4.76/3 = x/1

Solve for x to find the price of one carton.

Answer:

D) 8.5

Step-by-step explanation:

because y to b = 4 and it looks a little longer than that so D

Answer:

8.5

Step-by-step explanation:

well from Y to B its 4 so from Y to A its probably 4.5 cuz its a little longer that Y to B so 4+4.5=8.5

Answer:

  b.  f(x) = -2x +2

Step-by-step explanation:

The graph has a negative slope (m < 0) and a positive y-intercept (b > 0). The only equation with those characteristics is ...

  f(x) = -2x +2

_____

Additional comment

The line on the graph appears to fall by 2 grid squares for each 3 to the right. That means it has a slope of ...

  m = rise/run = -2/3

None of the offered equations have that slope. We have to assume the graph is "not to scale". Hence we can only comment on the signs of slope and intercept, and not their values.

You may want to discuss this question with your teacher.

Answer:

4

Step-by-step explanation:

replace x with its value to get

8-2y+3y=12 then combine like terms

8+y=12 subtract 8 from both sides

y=4

Answer:

the answer is numbe 1 which is 0

Step by step explaination:

Answer:

if you mean 12-5=12 this answer is x=144

here is the step by step explanation.

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

x/12-5-(7)=0

Step by step solution :

STEP

1

:

x

Simplify ——

12

Equation at the end of step

1

:

x

(—— - 5) - 7 = 0

12

STEP

2

:

Rewriting the whole as an Equivalent Fraction :

2.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 12 as the denominator :

5 5 • 12

5 = — = ——————

1 12

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:

x - (5 • 12) x - 60

———————————— = ——————

12 12

Equation at the end of step

2

:

(x - 60)

———————— - 7 = 0

12

STEP

3

:

Rewriting the whole as an Equivalent Fraction :

3.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 12 as the denominator :

7 7 • 12

7 = — = ——————

1 12

Adding fractions that have a common denominator :

3.2 Adding up the two equivalent fractions

(x-60) - (7 • 12) x - 144

————————————————— = ———————

12 12

Equation at the end of step

3

:

x - 144

——————— = 0

12

STEP

4

:

When a fraction equals zero :

4.1 When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

x-144

————— • 12 = 0 • 12

12

Now, on the left hand side, the 12 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

x-144 = 0

Solving a Single Variable Equation :

4.2 Solve : x-144 = 0

Add 144 to both sides of the equation :

x = 144

One solution was found :

x = 144

Answer:

1-19i

Step-by-step explanation:

Answer:

-44!

Step-by-step explanation:

I’m going to try and explain this the best way possible through a keyboard:

14+(-22)-14-22

I usually work from left to right with these kinda problems, it helps me stay organized.

The rule for adding integers is when the signs are different you always subtract and take the sign of the LARGER number…

With that being said,

14+-22=-8

Then re write the problem

-8-14-22

Subtracting integers with different sign calls for the KCF method (keep the first number the same, change the sign, flip the second number:

Working one step at a time left to right…

-8+-14 (just add normally and keep the sign)

-22-22

Again using the kcf method,

-22+22=

-44

Hope that helps!

Answer:

your grade increased by 14%

Answer:

B is correct

Step-by-step explanation:

adding the amount taken away and then subtracting it is the same as subtracting twice

Answer:

either b or c

Step-by-step explanation:

Answer:

y = 2.5x + 33.4, y = 75.9 miles

Step-by-step explanation:

Equation is y = 2.5x + 33.4

17 = 2.5 x + 33.4

y = 2.5 (17) + 33.4

y = 42.5 + 33.4

y = 75.9 miles

Answer:

[tex]20 {e}^{9} {f}^{11} [/tex]

Show Work:

[tex]5 \times {e}^{3} \times {f}^{3} \times 4 \times {f}^{8} \times {e}^{6} \times {e}^{0} [/tex]

[tex]5 \times {e}^{3} \times {f}^{3} \times 4 \times {f}^{8} \times {e}^{6} \times 1[/tex]

[tex]5 {e}^{3} {f}^{3} \times 4 {f}^{8} {e}^{6} [/tex]

[tex]20 {e}^{9} {f}^{11} [/tex]

[tex]5 \times {e}^{3} \times {f}^{3} \times 4 \times \times {f}^{8} \times {e}^{6} \times {e}^{0} \\ = 5 \times 4 \times {e}^{3 + 6 + 0} \times {f}^{3 + 8} \\ = 20 {e}^{9} {f}^{11} [/tex]

Answer:

[tex]20 {e}^{9} {f}^{11} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

90/360 x 3.14 x [tex]2^{2}[/tex]. (put into calculator)

Step-by-step explanation:

This is a sector of a circle we can see that there is a right angle (90 degrees) so we can say there is 90/360 of a circle.

The formula for the area of a circle is pi times radius squared.

We can use this but also need to use 90/360.

We can say the area of the shape is 90/360 x 3.14 x [tex]2^{2}[/tex].

Answer:

$2580

Step-by-step explanation:

$1500 dollars increased by 9%. In 8 years how much money he will have.

Ok, he has 1500 bucks in there

percents are an amount out of 100 so 9%=9/100

which, 9/100 in decimal form is .09

1500*.09 which is 135

135 dollars every year added

in 8 years, he will have earned 1080 bucks due to interest

1500+1080 which is 2580 dollars

he will have 2580

Answer:

1,616.60

Step-by-step explanation:

we know that

The compound interest formula is equal to

A=P(1+\frac{r}{n})^{nt}A=P(1+

n

r

)

nt

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

\begin{gathered}t=5\ years\\ P=\$1,500\\ r=1.5\%=1.5/100=0.015\\n=4\end{gathered}

t=5 years

P=$1,500

r=1.5%=1.5/100=0.015

n=4

substitute in the formula above

A=1,500(1+\frac{0.015}{4})^{4*5}A=1,500(1+

4

0.015

)

4∗5

A=1,500(1.00375)^{20}A=1,500(1.00375)

20

A=\$1,616.60A=$1,616.60

experimental I think probably

Answer:

Maria's book was 8 days late

Step-by-step explanation:

According to the information given, you can write an equation that states that 15¢ multiply for the number of days that the book was late plus $2 is equal to $3.20:

0.15x+2= 3.20

x= number of days that the book was late

Now, you have to solve for x:

0.15x= 3.20-2

0.15x= 1.20

x= 1.20/0.15

x= 8

The book was 8 days late.

9 / 10 = Total Price: 1.90

2 = Total Price: 3.00

3 1 / 10 = Total Price: 4.10

10 = Total Price: 11.00