A side of the triangle below has been extended to form an exterior angle of 158º. Find
the value of x.

Answer:

D. no function

Explanation:

We have a function because this graph passes the vertical line test. It is impossible to draw a single vertical line to have it pass through more than one point on the V shaped curve. Any x input leads to exactly one y output.

Even though we have a function, it is not one-to-one. Note how the curve fails the horizontal line test. It is possible to draw a horizontal line and have it pass through more than one point on the curve.

For example, draw a horizontal line through y = 3 and it passes through (-3,3) and (3,3) simultaneously. A one-to-one function is where any y output corresponds to exactly one x input, and vice versa. The output y = 3 corresponds to two different inputs x = -3 and x = 3 at the same time.

Why do we care about one-to-one functions? Well it's to help set up the inverse. The inverse goes the opposite direction of what the original function does. In this case, this function doesn't have an inverse unless we restrict the domain in some way.

Answer:

[tex](2,8][/tex]

Step-by-step explanation:

Given

The attached piece wise function

Required

The domain

To do this, we simply consider the inequalities that bound the values of x.

The inequalities are:

[tex]2 < x < 4[/tex]     [tex]4 < x < 8[/tex]   and   [tex]x \ge 8[/tex]

Combine the first two inequalities:

[tex]2 < x < 8[/tex]    and   [tex]x \ge 8[/tex]

For the inequality to be true, we must have:

[tex]2 < x \le 8[/tex]

In interval notation, the inequality is:

[tex](2,8][/tex]

Answer:

57%

Step-by-step explanation:

200+245+125 = 570

570/1000 = .57

Answer:

57%

Step-by-step explanation:

First find the total number of families in the sample.

Total = 350 + 200 + 245 + 125 + 66 + 10 + 4

Total = 1000

Next find the number of families that have 3, 4 or 5 people.

Total(3,4 or 5) = 200 + 245 + 125

Total(3,4 or 5) = 570

Now the % = (Total 3,4 or 5) / Total ) * 100

% = 570 / 1000 * 100

% = 57%

Answer:

A. 2a

Step-by-step explanation:

imagine an imaginary 1 in front of the a

3a + 7 – 1a – 7

subtract numbers without variables

3a + 7 – a – 7

3a-1a

subtract 1a from 3a

2a

Answer:

A. 2a

Step-by-step explanation:

3a + 7 - a + 7

= 3a - a + 7 - 7

= 2a + 0

= 2a

Given:

For two events X and Y,

[tex]P(X)=\dfrac{2}{3}[/tex]

[tex]P(Y)=\dfrac{2}{5}[/tex]

[tex]P(X|Y)=\dfrac{1}{5}[/tex]

To find:

The probabilities [tex]P(Y\cap X), P(Y)\cdot P(X)[/tex].

Solution:

Using the conditional probability:

[tex]P(X|Y)=\dfrac{P(Y\cap X)}{P(Y)}[/tex]

[tex]P(X|Y)\times P(Y)=P(Y\cap X)[/tex]

Substituting the given values, we get

[tex]\dfrac{1}{5}\times \dfrac{2}{5}=P(Y\cap X)[/tex]

[tex]\dfrac{2}{25}=P(Y\cap X)[/tex]

And,

[tex]P(Y)\times P(X)=\dfrac{2}{5}\times \dfrac{2}{3}[/tex]

[tex]P(Y)\times P(X)=\dfrac{4}{15}[/tex]

Therefore, the required probabilities are [tex]P(Y\cap X)=\dfrac{2}{25}[/tex] and [tex]P(Y)\times P(X)=\dfrac{4}{15}[/tex].

Answer:

x+y-5=0

Step-by-step explanation:

let eqn Perpendicular to eqn 5y-5x=-20 be -5x-5y+k=0------(1)

eqn (1) passes through (-3,8)

-5×-3-5×8+k=0

15-40+k=0

K=25

since required eqn perpendicular to 5y-5x=-20 is -5x-5y+25=0

x+y-5=0ans.

Answer:

no

Step-by-step explanation:

12 squared plus 5 squared=169

The amount of paper required to cover the toy is 55.86 square inches.

parameters given  are:

Base length, b = 4 inches

Height, h = 3.5 inches

We calculate that the amount of paper required to cover the toy is known as the surface area:

A = (b²√3/2) + 3(b × h)

A = (4²√3/2) + 3(4 × 3.5)

A = 55.86

In conclusion, if she wants to cover the entire pyramid with yellow paper, she would require about  55.86 square inches.

Learn  more about surface areas at:

https://brainly.com/question/76387

#SPJ1

Answer:

a =15

b=70

c=400

d=1500

e=5300

Step-by-step explanation:

it will help u

Answer:

A mammogram is what she would receive

Step-by-step explanation:

Answer:

Option D is correct

Step-by-step explanation:

In the above polynomial, 2 is degree of polynomial because the highest degree of polynomial is 2.

Answer:

V=πr2h /3

V=πr2h /3=π·2.52·8 /3≈52.35988

so the volume is 52.36 inches

Answer:

number a

Step-by-step explanation:

its a

Answer: the first graph

x          y

12        6

15        9

18        12

Step-by-step explanation:

Given:

Prime numbers can be expressed as a sum and difference of 2 prime numbers.

To find:

The prime numbers that can be expressed as a sum and difference of 2 prime numbers.

Solution:

Prime numbers are the positive integers which are greater than 1, divisible by only 1 and itself.

Prime numbers are 2, 3, 5, 7, 11, 13, 17, 19,... .

Only 2 is the even prime number.

The sum and difference of two odd integers is always an even number. So, we need to take one even prime number and one odd prime number to add and subtract the numbers to get a prime number.

[tex]2+3=5[/tex]

[tex]7-2=5[/tex]

Therefore, 5 is the only prime number that can be expressed as a sum and difference of 2 prime numbers.

3:5

Step-by-step explanation:

change the kilogram into gram and then divide it

Answer:

3 : 5

Step-by-step explanation:

The quantities must have the same units

1 Kg = 1000 g , then

600 : 1000 ( divide both parts by 200 )

= 3 : 5 ← in simplest form

Answer:

Step-by-step explanation:

Answer:

RQ = 9 units

Step-by-step explanation:

Answer:

1. x = 54, y = 114,

missing angles => 66° and 114°

2. x = 42, y = 14,

Missing angles => 84°, 86°

3. x = 40, y = 50

Missing angles => 105°, 75°

Step-by-step explanation:

1. y° = 114° (corresponding angles are congruent)

(x + 12)° + y° = 180° (linear pair angles)

Substitute

x + 12 + 114 = 180

x + 126 = 180

Subtract 126 from each side

x = 180 - 126

x = 54

✔️Find the missing angles by plugging in the values of x and y in each case

(x + 12)° = 54 + 12 = 66°

y = 114°

2. ✔️Find x:

(2x)° + 96° = 180° (consecutive interior angles are supplementary)

Subtract 96 from each side

2x = 180 - 96

2x = 84

x = 84/2

x = 42

✔️Find y:

(3y + 44)° + 94° = 180° (consecutive interior angles are supplementary)

3y + 44 + 94 = 180

3y + 138 = 180

3y = 180 - 138

3y = 42

y = 42/3

y = 14

✔️Missing angles:

(2x)°

Plug in the value of x

= 2(42) = 84°

(3y + 44)°

Plug in the value of y

3(14) + 44 = 86°

3.

✔️Find x:

3x - 15 = 105 (corresponding angles are congruent)

3x = 105 + 15

3x = 120

x = 120/3

x = 40

✔️Find y:

(3x - 15)° + (y + 25)° = 180° (linear pair angles are supplementary)

Plug in the value of x to solve for y

3(40) - 15 + y + 25 = 180

120 - 15 + y + 25 = 180

Add like terms

130 + y = 180

y = 180 - 130

y = 50

✔️Missing angles:

(3x - 15)°

Plug in the value of x

3(40) - 15 = 105°

(y + 25)°

Plug in the value of y

50 + 25 = 75°

Given:

AB formed by (-2,13) and (0,3).

CD formed by (-5,0) and (10,3).

To find:

Whether the segments AB and CD are parallel, perpendicular, or neither.

Solution:

Slope formula:

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

AB formed by (-2,13) and (0,3). So, the slope of AB is:

[tex]m_1=\dfrac{3-13}{0-(-2)}[/tex]

[tex]m_1=\dfrac{-10}{2}[/tex]

[tex]m_1=-5[/tex]

CD formed by (-5,0) and (10,3). So, slope of CD is:

[tex]m_2=\dfrac{3-0}{10-(-5)}[/tex]

[tex]m_2=\dfrac{3}{10+5}[/tex]

[tex]m_2=\dfrac{3}{15}[/tex]

[tex]m_2=\dfrac{1}{5}[/tex]

Since [tex]m_1\neq m_2[/tex], therefore the segments AB and CD are not parallel.

[tex]m_1\times m_2=-5\times \dfrac{1}{5}[/tex]

[tex]m_1\times m_2=-1[/tex]

Since [tex]m_1\times m_2=-1[/tex], therefore the segments AB and CD are perpendicular because product of slopes of two perpendicular lines is always -1.

Hence, the segments AB and CD are perpendicular.

Answer:

AB is perpendicular to CD.

Step-by-step explanation:

AB formed by (-2, 13) and (0, 3)

CD formed by (-5, 0) and (10, 3)

Slope of a line passing through two points is

[tex]m= \frac{y''-y'}{x''- x'}[/tex]

The slope of line AB is

[tex]m= \frac{3- 13}{0+2} = -5[/tex]

The slope of line CD is

[tex]m'= \frac{3 -0 }{10+5} = \frac{1}{5}[/tex]

As the product of m and m' is -1 so the lines AB and CD are perpendicular to each other.

Answer:

(5, -5)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

2x - 3y = 25

5x + 3y = 10

Step 2: Solve for x

Elimination

Step 3: Solve for y

Answer:

(5,-5)

Step-by-step explanation:

Hi there!

We are given this system of equations:

2x-3y=25

5x+3y=10

and the question asks to solve it by elimination

To solve by elimination, we will add the equations together to clear one variable, solve for the variable that wasn't cleared, then use the value of the variable that wasn't cleared to solve for the variable that was cleared earlier

Before we clear a variable, the coefficients  in front of the variable that we want to clear need to be opposites (ex. if we wanted to clear x, the coefficients of x in the systems have to be -2 and 2, as that would equal 0).

In this case, the coefficients in front of y in the equations are -3 and 3 respectively. That equals 0, so y would be cleared if we added the equations together

so we don't have to multiply or divide by anything prior to clearing

Let's add the equations together. Remember that y will be cleared, as (-3y+3y=0)

2x-3y=25

+

5x+3y=10

______________

7x+0=35

subtract 0 from both sides

7x=35

divide both sides by 7

x=5

we found the value of x

now we need to find the value of y

substitute 5 as x into either one of the equations to solve for y

if we were to do it into 2x-3y=25 for instance,

2(5)-3y=25

multiply

10-3y=25

subtract 10 from both sides

-3y=15

divide both sides by -3

y=-5

So the answer is x=5, y=-5, or as point (5,-5)

Hope this helps! :)

Answer:

Step-by-step explanation:

Given:

Use point slope form:

So the equation is:

Step-by-step explanation:

went to a calculator

it said

Side a = 20.66803

Side b = 13

Side c = 17

Angle ∠A = 86°

Angle ∠B = 38.863°

Angle ∠C = 55.137°

Answer:

B. b=3a+2

Step-by-step explanation:

I just substituted all of the a values in and I got the b values.

Answer:

Your answer is B, b = 3a+2

Step-by-step explanation:

for example:

3(2) + 2 = 8

Insert a number from column a into the variable and it will come out as the number in column b if it's the correct equation.

9514 1404 393

Answer:

Step-by-step explanation:

1. The parentheses are gone and the factor outside parentheses has multiplied each term inside parentheses. The distributive property says you can do that.

__

2. 12+2 has been replaced by 14, and 2-20 has been replaced by -18. This is the result when you combine like terms.

__

3. 3x has disappeared from the left side, and the x-term on the right has been reduced by 3x from 5x to 2x. This is the result of subtracting 3x from both sides of the equation. The subtraction property of equality says you can do that. (Note that subtracting 3x is the same as adding -3x.)

__

4. -18 has disappeared from the right side, and the constant on the left has been increased by 18 from 14 to 32. This is the result of adding 18 to both sides of the equation. The addition property of equality says you can do that.

__

5. Both sides of the equation are 1/2 of what they previously were. This is the result of dividing both sides of the equation by 2. The division property of equality says you can do that (provided the divisor is not zero.)

Answer:

5√2

Step-by-step explanation:

Finding distance :-

Answer:

0.8536

0.29933

Step-by-step explanation:

Given :

Mean amount spent, μ = $230

Standard deviation, σ = $19

1.)

Probability of spending atleast $210

P(x ≥ 210)

The Zscore = (x - μ) / σ = (210 - 230) / 19 = - 1.052

P(Z ≥ -1.052) = 1 - P(Z ≤ - 1.052) = 1 - 0.1464 = 0.8536

2.)

Probability that between $240 and $300 is spent:

P(x < $240) = Zscore = (240 - 230) / 19 = 0.526

P(Z < 0.526) = 0.70056

P(x < 300) = Zscore = (300 - 230) / 19 = 3.684

P(Z < 3.684) = 0.99989

P(Z < 3.684) - P(Z < 0.526)

0.99989-0.70056 = 0.29933

Answer:

Programmed

Step-by-step explanation:

Programmed Decisons may be classified as those actions which are routinely carried out or performed based on existing rules and protocol. In programmed decision making, the rules are in place, therefore once the criteria or requirement for which the rule or routine is to be enforced arises, programmed Decisons are made. In the scenario, the superintendent required that a programmed Decison be made in cases or situations where enrollment increases by 35 student beyond capacity, Hence, with this, every time this occurs the additional teachers will be hired.

Answer:

ok so on the left ill put minutes and on the right ill put dollars

150=7.50

220=11.00

250=12.50

275=13.75

so now lets break this down by dividing the smallest numbers by 2 a couple times

75=3.75(2)

25=1.25(3)

1=0.05(25)

so for every minute on the phone you pay 5 cents

Hope This Helps!!!

Answer:

for every minute on the phone you pay 5 cents, add brainly plz.

Step-by-step explanation: