If the two remote interior angles of a triangle measure 60 degrees and 38 degrees , what is the measure of the exterior angle.

Answers

Answer 1

Answer:x + y + z = 180

Step-by-step explanation:


Related Questions

It takes Daphne 25 minutes to assemble a model plane. During her work
minutes for lunch and one 15 minute break. Which inequality could Daphne use to determine the number
of model planes, p, she can assemble in her 8 hour work day?
A. 25p – 45 > 8
B. 25p + 45 2 8
C. 25p – 45 < 480
D. 25p + 45 < 480

Answers

Answer: 25p+45>= 8

Step-by-step explanation:

Double line graphs are used to compare two sets of data over the same period of time.
-True
-False

Answers

Answer: True

Explanation:

Answer:

the answer is true! :)

Step-by-step explanation:

A model of the American flag was made out of 1,776 colored tiles. The star field took 444 blue tiles. The rest of the tiles were split evenly to form the red and white stripes. Choose the correct answer that represents the number of red or white tiles.

A. 540
B. 444
C. 1,332
D. 666

Answers

Answer:

D

Step-by-step explanation:

The number of red and white stripes = 666

Given, A model of the American flag was made out of 1,776 colored tiles.

The star field took 444 blue tiles.

The rest of the tiles were split evenly to form the red and white stripes.

Number of red or white stripes =  (Total number of colored tiles - number of blue tiles)/2  

= (1776 - 444)/2

= (1332)/2

= 666

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Find each quotient in the table below.
Write your answer as a fraction or a mixed number.
Problem
Quotient
6 1/4 divided by 2
10 1/7 divided by 5
8 1/2 divided by 11

Answers

1) 6 1/4 / 2 = 25/8 or 3 1/8
2) 1/7 / 5 = 1/35
3) 8 1/2 / 11 = 17/22


The area of a parallelogram is 24 square units. One side of the parallelogramis
36 units long. The other side is 4 units long. Which could be the parallelogram's
height? Choose all the correct answers.
A.1/6
B.2/3
C.3/2
D.6
E.9

Answers

In this particular Equationthe answere is c

The required height of the parallelogram is 2/3. Option B is correct.

Given that,
The area of a parallelogram is 24 square units. One side of the parallelogramis 36 units long. The other side is 4 units long. Which could be the parallelogram's height is to be determined.

What is parallelogram?

A parallelogram is a quadrilateral consisting of pairs of parallel side.

Here,
We have given the area of the parallelogram and the measure of its base. So,
Area of the parallelogram = base * height
                                       24 = 36 * height
                                       height = 2 / 3

Thus, the required height of the parallelogram is 2/3. Option B is correct.
 

                           

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Complete the following table with the properties used to solve 4 (x + 3) = 20
#1) 4x + 12 = 20
#2) 4x = 8
#3) x = 2
If it not a good description, I'll put this as an example
4 (x + 3) = 20 is a Given Property

Answers

Answer:

Step-by-step explanation:

4 (x + 3) = 20 Distributive

#1) 4x + 12 = 20 Addition property of equality

#2) 4x = 8 Division Property of Equality

#3) x = 2 Answer

What is the equation of the line of best fit that Samir drew? OA. y = -x + 12 OB. O C. y = - + 18 y = -x + 12 y = -x + 18 OD.​

Answers

Answer:

Answer:  Choice A

y = (-2/3)x + 12

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

Work Shown:

We will only focus on the two points that are on the regression line.

Those two points are (3,10) and (12,4)

Let (x1,y1) = (3,10) and (x2,y2) = (12,4)

Find the slope of the line through (x1,y1) = (3,10) and (x2,y2) = (12,4)

m = (y2 - y1)/(x2 - x1)

m = (4 - 10)/(12 - 3)

m = -6/9

m = -2/3

Plug m = -2/3 and (x1,y1) = (3,10) into the point slope formula

Solve for y.

y - y1 = m(x - x1)

y - 10 = (-2/3)(x - 3)

y - 10 = (-2/3)x + (-2/3)(-3) ... distribute

y - 10 = (-2/3)x + 2

y - 10 + 10 = (-2/3)x + 2 + 10 .... add 10 to both sides

y = (-2/3)x + 12

This matches up with what the graph shows because the regression line intersects 12 on the y axis, so the y intercept is 12.

y = (-2/3)x + 12 is in the form y = mx+b with m = -2/3 as the slope and b = 12 as the y intercept.

help please ?!??!!????

Answers

Answer:

2 hours 80 miles I believe is the answer   hope this helps

Step-by-step explanation:

The cost to build an amusement park ride by a certain contractor is represented by the function: Cost = 2*x2 – 10/x + 36*y + 25 where x is the number of people able to be on the ride at once. For what value of x would unit cost be minimized? What is the minimum cost for this number of passengers? Show mathematically that the value found is truly a minimum and discuss whether this solution is feasible.

Answers

Answer:

The minimum cost for this number of passengers is Rs.36.05

Step-by-step explanation:

The cost to build an amusement park ride by a certain contractor is represented by the function:

[tex]Cost = 2x^2 - \frac{10}{x}+ 36y + 25[/tex]

x : Number of people able to be on the ride at once.

Differentiate the function w.r.t x

[tex]\frac{\partial cost}{\partial x}=4x-(\frac{-10}{x^2})=0[/tex]

[tex]x^3=\frac{-5}{2}[/tex]

x=-1.3572

Differentiate the function w.r.t y

[tex]\frac{\partial cost}{\partial y}=36=0[/tex]

Minimum cost =[tex]2x^2 - \frac{10}{x}+ 36y + 25[/tex]

Minimum cost = [tex]2(-1.3572)^2 - \frac{10}{(-1.3572)}+ 36(0) + 25[/tex]

Minimum cost = 36.05

Hence the minimum cost for this number of passengers is Rs.36.05

If(2p+3)(p+5)=p2 +p+,whatisthevalueof++?

Answers

Answer:   (p - 1) • (5p + 3)

Step-by-step explanation: Changes made to your input should not affect the solution:

(1): "p2"   was replaced by   "p^2".  

STEP

1

:

Equation at the end of step 1

 (5p2 -  2p) -  3

STEP

2

:

Trying to factor by splitting the middle term

2.1     Factoring  5p2-2p-3  

The first term is,  5p2  its coefficient is  5 .

The middle term is,  -2p  its coefficient is  -2 .

The last term, "the constant", is  -3  

Step-1 : Multiply the coefficient of the first term by the constant   5 • -3 = -15  

Step-2 : Find two factors of  -15  whose sum equals the coefficient of the middle term, which is   -2 .

     -15    +    1    =    -14  

     -5    +    3    =    -2    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -5  and  3  

                    5p2 - 5p + 3p - 3

Step-4 : Add up the first 2 terms, pulling out like factors :

                   5p • (p-1)

             Add up the last 2 terms, pulling out common factors :

                   3 • (p-1)

Step-5 : Add up the four terms of step 4 :

                   (5p+3)  •  (p-1)

            Which is the desired factorization

If the points P(5,2),Q(0,7) and R(-5,2) are drawn on coordinate plane,where must point S be located so that figure PQRS is square.

Answers

Answer:

(0, -7) i think

hope this helps :3

sorry if im wrong

Mark used a number line to model dividing į by 3. He
divided the number line from 0 to 1 in 3 equal sections,
and then divided each of those sections into 2 equal
parts. Mark says ſ = 3 is į
Is his answer correct? Explain why or why not.

Answers

No, he is incorrect. Using a number line to model thirds means that each space that is 1/3 should be divided into 3 parts, not 2 parts. 6 parts divided into 3 groups gives 2 parts out of 9 parts total, so the answer is 2/9.

Answer:

No, he is incorrect. Using a number line to model thirds means that each space that is 1/3 should be divided into 3 parts, not 2 parts. 6 parts divided into 3 groups gives 2 parts out of 9 parts total, so the answer is 2/9.

Step-by-step explanation:

sample responce

Let V be the volume of the pyramid of height 11 whose base is a square of side length 6. Find a formula for the area A of the horizontal cross section at a height y.

Answers

Answer:

Base area = 36

Volume of the pyramid = 132

Step-by-step explanation:

Volume of a pyramid = Base Area × Height/3

Base area = Length × Length (since base of the pyramid is a square)

Given the side length of the square = 6

Base area = 6×6

Base area = 36

Given height of pyramid =11

Volume of the pyramid = 36×11/3

Volume of the pyramid = 12×11

Volume of the pyramid = 132

Question 3
65% of 700


Question 4
25% of 84

Answers

Answer:

question 3The answer for 65% of 700 is 455

Answer:

3= 455

4= 21

Explanation:

700 x .65

84 x .25  

ANSWER PLEASE NEED HELP ASAP

Answers

Answer: 43 should be divided into 0.37 to find “x”.

Step-by-step explanation:

Will a fluoride mouthwash used after brushing reduce cavities? Twenty sets of twins were used to investigate this question. One member of each set of twins used the mouthwash after each brushing, the other did not. After six months, the difference in the number of cavities of those using the mouthwash was compared with the number of cavities for those who did not use the mouthwash. This experiment uses:

Answers

Complete Question

The complete question is shown on the first uploaded image

Answer:

The correct option is b

Step-by-step explanation:

The correct option  is  matched pair design the reason for this is because in the experiment individual(elements)  are group into pairs based on a characteristics that they have in common (in this question the characteristics being a twin) and then within each group the subject a placed on different treatment , in the case of this question each twin in each group are placed on different treatment (i.e one is given the mouthwash while the other is not ).

This process which I have explained is how a matched pair design is carried out

Durant and Westbrook are playing a three-point challenge game to improve long
distance shooting. Each time each of them makes a basket, 3 points are added to
their respective scores. Durant has 18 points and Westbrook has 12 points.
Which of the following options has the pair of explicit formulas that represents the
number of points for each player as an arithmetic sequence?
A: Durant: 18 +(n-1)(3)
B: Durant: 18-(n-1)(3)
C: Durant 18+(n-3)
D: Durant 18+3n

Answers

Answer:

I THINK ITS A

Step-by-step explan I TOOK THE TEST TODAY I DONT NOW NOTHING

If L||m find the value of X

Please help me :)

Answers

Answer:

x= 12

Step-by-step explanation:

(9x -4)° +(5x +16)° = 180° (int. ∠s, L//m)

9x -4 +5x +16= 180

14x +12= 180 (simplify)

14x= 180 -12 (-12 on both sides)

14x= 168

x= 168 ÷14 (÷14 on both sides)

x= 12

5 2/3 divided by 2 1/8

Answers

Answer:

[tex]2 \frac{2}{3} [/tex]

Simplify the polynomial, then evaluate for x=-3
-x^2+2x-2x^2-3x+4+x^2

Answers

Step-by-step explanation:

Let's simplify step-by-step.

−x2+2x−2x2−3x+4+x2

=−x2+2x+−2x2+−3x+4+x2

Combine Like Terms:

=−x2+2x+−2x2+−3x+4+x2

=(−x2+−2x2+x2)+(2x+−3x)+(4)

=−2x2+−x+4

Answer:

=−2x2−x+4

Jayden's family watched 8 hours of TV last week. This week, they watchec
25% more than that. How many hours of TV did they watch this week? *

Answers

Answer:

I THINK that it is 10 hours

Step-by-step explanation:

(Sorry if I am wrong)

25% = 1/4 SO 8 divided by 4 = 2

Since they watched 25% MORE you add 2 to 8 and get 10

A number is divided by 4, and the quotient is added to 3. The result is 24. What is the number? (Please show how you got it)
(n/4) + 3 = 24

Answers

Answer:

84

Step-by-step explanation:

(x/4) + 3 = 24

so in this case try and make x the subject or in other words try to leave x on one side of the equation.

(x/4) = 24 - 3

(x/4) = 21

now multiply 21 by 4 using cross multiplication

so x= 84

What is the length of the line segment with endpoints (−3, 8) and (7, 8) ?

Answers

Answer:

length/distance = 10 units

Step-by-step explanation:

Use the distance formula for both points / length / magnitude, d = √((x2-x1)^2+(y2-y1)^2).

Given endpoints (-3,8) [(x1,y1)], and (7,8) [(x2,y2)], plug in the corresponding y, and x values of both coordinates, and simplify.

√((8-8)^2+(7-(-3))^2) = √(0^2+10^2) = √100 = 10

*This may be in units if the unit used is unspecified.*

_______________________________

Also since the y values of both coordinates are the same, you can just subtract the x values in the coordinates, and take the absolute value since distance/length cannot be negative.

Step-by-step explanation:

[tex]|AB | = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2} [/tex]

[tex] = \sqrt{( - 3 - 7)^{2} + (8 - 8)^{2}} \\ = \sqrt{100 + 0} = 10[/tex]

Find the solution for the equation. 3 (n - 4) = -12​

Answers

Answer:

0

Step-by-step explanation:

3n-12=-12

-3n=-0

n=0

Answer:

n=0.0

Step-by-step explanation:

3(n-4) = -12

3n-12 = -12

3n = 0

n = 0

The qoutient of 9 3/4 and 5/8?

Answers

Answer:

do you mean 9 3/4 divided by 5/8, if so, it gives you 78/5

Step-by-step explanation:

answer:

it is 15 3/5

your welcome

resta y suma de valor absoluto​

Answers

Answer:    Éstos son los pasos para usar la estrategia del valor absoluto. Para sumar dos enteros con el mismo signo, suma sus valores absolutos. Luego, coloca el mismo signo de los dos enteros originales a la respuesta. Para sumar dos enteros con signos diferentes, resta el valor absoluto menor al valor absoluto mayor.

Step-by-step explanation: Ojalá esto ayude !

Answer:

El valor absoluto de un número consiste en su valor, sin importar su signo. Cuando tomamos el valor absoluto de un número, éste es siempre positivo o cero. ... Por ejemplo, el valor absoluto de 5 es 5. El valor absoluto de -5 es también 5.

Step-by-step explanation:

Trevor is preparing dinner plates. He has 18 pieces of chicken and 14 rolls. If he wants to make all the plates identical without any food left over, what is the greatest number of plates Trevor can prepare?

Answers

Answer:

split the four extra pieces into smaller pieces to were it will give each plate the same amount.

Step-by-step explanation:

A poker hand consisting of 9 cards is dealt from a standard deck of 52 cards. Find the probability that the hand contains exactly 8 face cards. Leave your answer as a reduced fraction.

Answers

Answer: [tex]\dfrac{9}{66892280}[/tex]

Step-by-step explanation:

Number of combinations of r things from n things = [tex]^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]

Number of combinations of choosing 9 cards out of 52 = [tex]^{52}C_9=\dfrac{52!}{9!(52-9)!}=3679075400[/tex]

Total face cards = 12

Number of combinations of choosing 8 face cards = [tex]^{12}C_8=\dfrac{12!}{8!(12-8)!}=495[/tex]

Required probability = [tex]\dfrac{495}{3679075400}=\dfrac{9}{66892280}[/tex]

Hence, the probability that the hand contains exactly 8 face cards. = [tex]\dfrac{9}{66892280}[/tex]

3. How many solutions are there to the
equation 2x^2 - 3x +12=0? Tell how
you know.

Answers

Answer:

If you're talking about solutions in general (real and imaginary solutions), there is 2, because the fundamental theorem of algebra says that the number of roots of any polynomial is the degree if it's highest power, which is 2.

If you're talking about only real solutions, there is 0. To show that, we can take the discriminant (b^2-4ac) part of the quadratic equation, and plug in the know values. We then get:

(-3)^2-4*2*12

=9-96

=-87

Remember, the discriminant will be taken the square root. Since this is negative, the answer will be imaginary. Therefore, there is no real solution.

he pulse rates of 179 randomly selected adult males vary from a low of 43 bpm to a high of 115 bpm. Find the minimum sample size required to estimate the mean pulse rate of adult males. Assume that we want 90​% confidence that the sample mean is within 3 bpm of the population mean. Complete parts​ (a) through​ (c) belo

Answers

Answer:

97

Step-by-step explanation:

Given that:

Low = 43bpm

High = 115 bpm

Error = 3

α = 90%

To find the range estimate :

Standard destviation = (high - low) / 4

Standard deviation = (115 - 43) / 4

Standard deviation = 72/4 = 18

The sample size,(n) :

n = [(Zα/2 * sd)/E] ²

2 - tail = (Zα/2) = 1.645

[(Zα/2 * sd)/E] ² = [(1.645 * 18) / 3]² = (29.61/3)²

= 97.41

Sample size = 97

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