interior and exterior of angles of triangles
please help !!

Answer:

Width = 25 feet

Step-by-step explanation:

Perimeter of a rectangle = 2L + 2W

W = L - 20

P = 140

Hence,

140 = 2L + 2(L - 20)

140 = 2L + 2L - 40

Collect like terms

140 + 40 = 4L

180 = 4L

L = 180/40

L = 45 feet

Length = 45 feet

Width = L - 20 feet

=( 45 - 20) feet

= 25 feet

Answer:

9 years old.

Step-by-step explanation:

Since the ages of all of these students are being represented in relation to the middle student's age then we can create formulas for each student and then apply them to the formula for the sum of their ages and solve for the middle child's age (M) like so... (oldest child's age is represented by variable O and youngest child's age is represented by variable Y)

O = M + 6

Y = M - 3

30 = (M+6) + M + (M-3)  ... combine like terms

30 = 3M + 3  ... subtract 3 from both sides

27 = 3M  ... divide both sides by 3

9 = M

Now we know that the middle child is 9 years old.

Answer:

x=18

Step-by-step explanation:

Add up all the angles and then equal them to 180

6x+3x+x=180 Simplify!

10x=180

x=18

Answer:

rate of change = first derivative= g'(x)=-2x+6

plug -3 to 5 into that g'(x) equation, it will be your answer

Step-by-step explanation:

9514 1404 393

Answer:

  4

Step-by-step explanation:

The average rate of change of f(x) on the interval [a, b] is computed from ...

  m = (f(b) -f(a))/(b -a)

On the interval [-3, 5] the average rate of change is ...

  m = (f(5) -f(3))/(5 -(-3)) = ((-5^2 +6·5 +12) -(-(-3)^2 +6(-3) +12))/8

     = (-25 +30 +12 +9 +18 -12)/8 = 32/8

  m = 4

The average rate of change on the interval is 4.

__

Alternate solution

The first derivative of the function is ...

  f'(x) = -2x +6

The average rate of change of a parabolic function on an interval is the rated of change at the midpoint of the interval. Here, the midpoint is x=(5+(-3))/2 = 1, so the average rate of change is ...

  f'(1) = -2(1) +6 = 4

Answer:

x=10

Step-by-step explanation:

[tex]6x-14=46\\6x=60\\x=10[/tex]

Answer:

6 1/2

Step-by-step explanation:

Answer:6 1/2

Step-by-step explanation: do the math search it up

Since there are 10 total slices and 2 are red the probability of the dial stopping on a red slice is 2/10. But in simplest form 1/5.

The probability that the dial stops on a red slice is 1/5 or 20%.

The ratio of good outcomes to all possible outcomes of an event is known as the probability. The number of positive results for an experiment with 'n' outcomes can be represented by the symbol x. The probability of an occurrence may be calculated using the following formula.

Probability(Event) = Positive Results/Total Results = x/n

In order to better grasp probability, let's look at a straightforward example. Let's say we need to forecast if it will rain or not. Either "Yes" or "No" is the appropriate response to this query.

Given:

number of total slices = 10

Red slices = 2

Blue slices= 4

Yellow slices= 10- 6 = 4

Now, probability that the dial stops on a red slice

=2/10

=1/5

=1/5 x 100

=20%

Hence, the probability that the dial stops on a red slice is 1/5 or 20%..

Learn more about probability here:

https://brainly.com/question/11234923

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Answer:

A. 3x - 6

General Formulas and Concepts:

Pre-Alg

Step-by-step explanation:

Step 1: Define expression

3(x - 2)

Step 2: Expand

1. x<=20

2. k<0

3. d<-3

4. m<=11

5. a>=3

6. 6<-5

This should help

Problem 4

Note the markings at the top indicate that angle y represents half the angle BAC. In other words, we need 2 copies of angle y to make up angle BAC.

So we know that angle BAC = 2y

Due to the fact that triangle ABC is isosceles, we know that base angles B and C are congruent to 47.

Focusing on triangle ABC we have

So,

A+B+C = 180 .... for any triangle, the angles always add to 180

2y+47+47 = 180

2y+94 = 180

2y = 180-94

2y = 86

y = 86/2

y = 43

Turn your attention to triangle ABD.

Here we have

We'll use the same idea as above, that all angles add to 180, to get...

A+B+D = 180

y+47+x = 180

43+47+x = 180

x+90 = 180

x = 180-90

x = 90

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

Problem 5

Let x be the angle formed by the diagonal sides and the horizontal ground. This is considered the base angle because this triangle is isosceles.

We have two base angles x and the third angle up top is 34

x+x+34 = 180

2x+34 = 180

2x = 180-34

2x = 146

x = 146/2

x = 73

Answer:

48 days

Step-by-step explanation:

Given that :

Sumiko runs bleachers every 6 days

Jandella runs bleachera every 16 days

The soonest they will see each other again is in days can be obtained by getting the lowest common multiple of 6 and 16

Multiples of

6 : 6, 12, 18, 24, 30, 36, 42, 48, 54,...

16 : 16, 32, 48, 64,...

Lowest common multiple of 6 and 16 = 48

Hence, the soonest they'll see each other again is in 48 days

Answer: B

Step-by-step explanation:

Answer:

x=5 I think

Step-by-step explanation:

just search it up online

Answer:

The function rule be 100 × x

The independent variables i.e. (2, 3, and 4) are considered to be the domain

The dependent variable (200,300,400) are considered to be the range

Step-by-step explanation:

The computation is shown below:

As we know that

1 m = 100 cm

So

2 m = 200 cm

3 m = 300 cm

4 m = 400 cm

The function rule be 100 × x

The independent variables i.e. (2, 3, and 4) are considered to be the domain

The dependent variable (200,300,400) are considered to be the range

Answer:

The graph is a straight line.

The line does not pass through the origin.

The y-intercept of the line is 2.

Step-by-step explanation:

I know that it's a straight line because the equation is written in this format; y=mx+b (this is a linear equation meaning that it must be a straight line).  In that equation, m is our slope and b is our y-intercept with this information. I know that the y-intercept is 2 since this equation is this y= –12x+2 (the 2 replaced the b which is our y-intercept). The line does not pass through the origin because its y-intercept is 2 which means it's impossible for the line to pass through the origin. (I hope this makes sense)

Hope this helped you

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Credit card balance = $34

Amount of sandwich purchased = $40

The cost of sandwich purchased us added to the Initial credit card balance as the balance in a credit card is amount owed.

Hence it could be interpreted as though Joe has made purchases which amounts to $34 with his card before purchasing sandwich that costs $40

Hence; new card balance :

(Intial card balance + cost of sandwich)

$34 + $40 = $74

Answer:

The amount of Soyabean = 608.82 pounds.

The amount of Oats  = 900-608.82 = 291.18 pounds.

Step-by-step explanation:

Given that the Soybean Meal has 46% CP and Oats has 12% CP.

The total amount of ration is 900 lbs of 35% CP.

Let x pounds of Soyabean has been used, so,

the amount of Oats = 900-x lbs.

The CP amount in 900 lbs mixture will be equal to the sum of CP amounts in x lbs Soyabean and 900-x lbs Oats, i.e

35% of 900 = 46% of x + 12% of (900-x)

[tex]\Rightarrow \frac{35}{100}\times 900=\frac{46}{100}\times x+\frac{12}{100}\times (900-x)[/tex]

[tex]\Rightarrow 35\times 900 = 46x + 12\times 900 - 12 x[/tex]

[tex]\Rightarrow 34x= 900(35-12)[/tex]

[tex]\Rightarrow x = (900\times 23)/34[/tex]

[tex]\Rightarrow x = 608.82[/tex] lbs.

So, the amount of Soyabean = 608.82 pounds.

The amount of Oats  = 900-608.82 = 291.18 pounds.

Answer:

14... since all of it is equal

Step-by-step explanation:

The pickup truck travels 19[tex]\frac{2}{7}[/tex] Miles in gallon.

A unit rate means a rate for one of something.

Given that a pickup truck travels 45 miles on 2[tex]\frac{1}{3}[/tex] gallons of gas,

Since there are 45 miles in 7/3 gallons

So, 45*3/7 in one gallon = 19[tex]\frac{2}{7}[/tex] Miles in one gallon

Hence, The pickup truck travels 19[tex]\frac{2}{7}[/tex] Miles in gallon.

For more references on unit rate, click;

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Awnser:

1/2 as m, and -3 as b

Step-by-step explanation:

To find the equation of any line, you use the formula: mx+b=y, where m is the slope, y is the y coordinate, b is the y intercept, and x is the x coordinate.  However, it only asks for b and m.

You'll need to first find 2 points.

I chose: (6,0) and (0,-3).

The formula to find the slope is: y2-y1/x2-x1.

0-(-3)/6-0

0+3/6

3/6

1/2

Now we need to find the y intercept. However, the graph already tells you what it is. The y intercept always has to have 0 as x.

So the awnser is 1/2 as m, and -3 as b.

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In the lower triangle, one of the angles of which is 45 degrees, we know:

In the triangle, the side facing the angle 45° is √2 / 2 times the hypothenuse.

Thus ;

[tex]10 = hypothenuse \times \frac{ \sqrt{2} }{2} \\ [/tex]

[tex]hypothenuse \times \frac{ \sqrt{2} }{2} = 10 \\ [/tex]

Multiply sides by 2

[tex]hypothenuse \times \sqrt{2} = 2 \times 10[/tex]

Divide sides by √2

[tex]hypothenuse = \frac{2 \times 10}{ \sqrt{2} } \\ [/tex]

[tex]hypothenuse = \frac{ \sqrt{2} \times \sqrt{2} \times 10 }{ \sqrt{2} } \\ [/tex]

[tex]hypothenuse = 10 \sqrt{2} [/tex]

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The common side of the triangles is hypothenuse for both.

[tex]hypothenuse \times \cos(60) = x[/tex]

[tex]10 \sqrt{2} \times \frac{1}{2} = x \\ [/tex]

[tex]x = \frac{2 \times 5 \sqrt{2} }{2} \\ [/tex]

[tex]x = 5 \sqrt{2} [/tex]

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The correct answer is the Third Option .

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Answer:

1.78

Step-by-step explanation:

7 is repeating but i rounded to the tenths its this. also, i just divided it by three because he cuts into three parts.

Answer:

The first month new members have to pay 188 dollars for the membership.

The equation is 160x+28=y

x stands for the number of months and y stands for the total cost.

For the first month (membership starts) the total cost is 188$. For the second month the total money paid would be 348$. For the third month the total money paid would be 508$. And so on you can use the equation to solve for more months. Just substitute x for the number of months you are solving for.

can you writ the answe in a sheet on paper

Step-by-step explanation:

Make t the subject of the formula (5÷ t) -2 = s

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all the questions is on my page there is more 4

Answer: 11.5

Step-by-step explanation:

It’s delta y over delta x so you would take any two combination of coordinates and subtract and divide. I used 57.50-23 over 5-2... this gets you 34.5 over 3. This is also equal to 11.5 :)

Answer:

250

Step-by-step explanation:

Pretty much every time it asks for the abasloute value it just asks how much to get the zero on the number line. It will ALWAYS be positive. For example -5 will be 5 to get to zero on the numberline. Same thing with a positive 5.

Answer:

corresponding I believe

Step-by-step explanation:

if I'm wrong someone tell me and I'll go in the corner

Answer:

D) Alternate interior

Step-by-step explanation:

Its a bit hard to explain for me, since I did this stuff in 5th grade and now I'm in 10th.

P.S: Please mark my answer as brainliest, I need it to rank up.

Answer:

La ecuación simplificada es  [tex]a = \frac{11}{19}[/tex].

Step-by-step explanation:

Tenemos la siguiente ecuación simultánea: [tex]16\cdot a - [3\cdot a - (6-9\cdot a)] = 30\cdot a +[-(3\cdot a+2)-(a+3)][/tex]. El procedimiento consiste en destruir los paréntesis desde dentro hacia fuera, agrupar los términos semejantes y simplificar. Presentamos el proceso paso por paso:

1) [tex]16\cdot a - [3\cdot a - (6-9\cdot a)] = 30\cdot a +[-(3\cdot a+2)-(a+3)][/tex] Dado

2) [tex]16\cdot a -\{3\cdot a + (-1)\cdot [6+(-1)\cdot 9\cdot a]\} = 30\cdot a +\{(-1)\cdot (3\cdot a +2)+(-1)\cdot (a+3)\}[/tex]  [tex]-b = (-1)\cdot b[/tex]

3) [tex]16\cdot a -\{[(-1)\cdot (6)+(-1)\cdot (-1)\cdot 9\cdot a]\}= 30\cdot a +\{\left[(-1)\cdot (3\cdot a) + (-1)\cdot (2)\right] +[(-1)\cdot a +(-1)\cdot (3)] \}[/tex] Propiedad distributiva

4) [tex]16\cdot a -(-6+9\cdot a) = 30\cdot a +(-3\cdot a -2-a-3)[/tex] [tex]-b = (-1)\cdot b[/tex]/ [tex](-b)\cdot (-c) = b\cdot c[/tex]

5) [tex]16\cdot a +(-1)\cdot (-6+9\cdot a) = 30\cdot a -4\cdot a-5[/tex] Propiedad distributiva/Definiciones de adición y sustracción/[tex]-b = (-1)\cdot b[/tex]

6) [tex]16\cdot a +[(-1)\cdot (-6)+(-1)\cdot (9\cdot a)] = 26\cdot a -5[/tex] Propiedad distributiva/Definiciones de adición y sustracción/Propiedad modulativa.

7) [tex]16\cdot a +6-9\cdot a = 26\cdot a - 5[/tex]  [tex]-b = (-1)\cdot b[/tex]/ [tex](-b)\cdot (-c) = b\cdot c[/tex]

8) [tex]7\cdot a +6 = 26\cdot a - 5[/tex] Propiedad distributiva/Definiciones de adición y sustracción.

9) [tex]6+5 = 26\cdot a -7\cdot a[/tex] Compatibilidad con la adición/Definición de sustracción.

10) [tex]11 = 19\cdot a[/tex] Propiedad distributiva/Definiciones de adición y sustracción.

11) [tex]19\cdot a = 11[/tex] Simetría de la igualdad.

12) [tex]a = \frac{11}{19}[/tex] Compatibilidad con la multiplicación/Existencia del inverso multiplicativo/Propiedad modulativa/Definición de división/Resultado.

La ecuación simplificada es  [tex]a = \frac{11}{19}[/tex].

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

Work Shown:

Solve the second equation for f(b)

2f(b) = 28

f(b) = 28/2

f(b) = 14

----------

Plug in x = b and solve for b

f(x) = 3x-1

f(b) = 3b-1 ... replace every x with b

14 = 3b-1 ..... plug in f(b) = 14

3b-1 = 14

3b = 14+1

3b = 15

b = 15/3

b = 5

-----------

f(x) = 3x-1

f(2b) = 3(2b)-1 .... replace every x with 2b

f(2b) = 3(2*5)-1 .... plug in b = 5

f(2b) = 3*10-1

f(2b) = 30-1

f(2b) = 29

Answer:

6/5 or 1 1/5

Step-by-step explanation:

2/5 + 2/5 + 2/5 = 6/5 or 1 1/5

This is the same as multiplying 3 x 2/5 = 6/5 or 1 1/5

Answer:

6/5 or 1 1/5

Step-by-step explanation:

2/5 + 2/5 + 2/5 = 6/5 or 1 1/5

This is the same as multiplying 3 x 2/5 = 6/5 or 1 1/5

Step-by-step explanation: