The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is three times the measure of the first angle. The third angle is 29 more than the second. Let x, y, and z represent the measures of the first, second, and third angles, respectively. Find the measures of the three angles.

Answer:

m =-7/3

Step-by-step explanation:

[tex]\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(0,\:21\right),\:\left(x_2,\:y_2\right)=\left(9,\:0\right)\\\\m=\frac{0-21}{9-0}\\\\m = \frac{-21}{9} \\\\Use\:3\:to\:divide\:through \\m=-\frac{7}{3}[/tex]

Answer:

What is the cost of a chicken shawarma wrap?

$10.99

What is the cost of one order of spiced potatoes?

$4.99

If x denotes the cost of a chicken shawarma wrap and y denotes the cost of an order of spiced potatoes, what are the equations needed to solve this problem?

3x + 2y = $42.95..........Eq 1

5x + 4y = $74.91..........Eq 2

Step-by-step explanation:

Cost of a chicken sharwarma wrap = a

Cost of an order of spiced potatoes = b

Ms. Ironperson ordered 3 chicken shawarma wraps and 2 orders of spiced potatoes for a total bill of $42.95.

3x + 2y = $42.95 .............Equation 1

Mr. Thoro ordered 5 chicken shawarma wraps and 4 orders of spiced potatoes for a total bill of $74.91.

5x + 4y = $74.91 ................Equation 2

So we have:

3x + 2y = $42.95..........Eq 1

5x + 4y = $74.91..........Eq 2

We use Elimination method

Multiply Equation 1 by coefficient of y in Equation 2

Equation 2 by coefficient of y in Equation 1

3x + 2t= $42.95 .............Equation 1 × 4

5x + 4y = $74.91 ................Equation 2 × 2

12x + 8y = 171.80..............Equation 3

10x + 8y = 149.82..............Equation 4

Subtract Equation 3 from Equation 4

2x = 21.98

x = 21.98/2

x = 10.99

Therefore, x = Cost of Chicken sharwarma wrap = $10.99

Subtitute 10.99 for 9in Equation 1

3x + 2y = $42.95 .............Equation 1

3(10.99) + 2y = 42.95

32.97 + 2y = 42.95

2y = 42.95 - 32.97

2y = 9.98

y = 9.98/2

y = 4.99

y = Cost of an order of spiced potatoes = $4.99

Hence,

The cost of a chicken sharwarma wrap = $10.99

The cost of an order of spiced potatoes = $4.99

Answer:

because 1 is the smallest factor of a multiple and greatest factor of a multiple is the multiple itself

Step-by-step explanation:

hope that help and u can understand it :\

Answer:

Average of 15 students in each Sunday school class.

Step-by-step explanation:

The average (or arithmetic mean) number of students per class, is the total number of students divided by the number of classes. In this case:

225/15 = 15

average of 15 students per Sunday school class.

The factor that influences a consumer when deciding to buy a product is D. External factor.

A consumer is a person or group who intends to order or uses purchased goods, products, or services primarily for personal, social, family, or household needs and is not directly involved in entrepreneurial or business activities.

Consumers consider a variety of factors, including the product's characteristics, the price charged, the product's availability at the required location, and much more. Personal factors include the consumer's age, occupation, lifestyle, social and economic status, and gender.

External factors such as the market economy, culture, social values, fashion, and corporate policies for consumers all have a large impact on consumer perceptions, attitudes, and behavior.

External factors may include family and friend expectations, cultural or gender stereotypes, and family responsibilities. These factors can have an impact on decision-making, either positively or negatively.

Therefore, based on the information illustrated, the correct option is D.

Learn more about consumers on:

https://brainly.com/question/380037

#SPJ1

Answer:

1. y=6

2. x=-2

3. t=-6

Step-by-step explanation:

1.

[tex]4y-9=15\\4y-9+9=15+9\\4y=24\\\frac{4y}{4}=\frac{24}{4}\\y=6[/tex]

2.

[tex]6x+7=-5\\6x+7-7=-5-7\\6x=-12\\\frac{6x}{6}=\frac{-12}{6}\\x=-2[/tex]

3.

[tex]-9t+2=56\\-9t+2-2=56-2\\-9t=54\\\frac{-9t}{-9}=\frac{54}{-9}\\t=-6[/tex]

Answer:

the answer is most likely A

Step-by-step explanation:

Answer:

a - 1/2

Step-by-step explanation:

there are 3 even and 3 odd numbers so the probability is half of them

Answer:

15x3-25x

Step-by-step explanation:

5x(3x2 -5)

step1: distribute 5x to both sides

Step 2: 3x2 would change into 15x3 (because you're multiplying by 5x)

Step3: -5 would turn into -25x (because you are multiplying by 5x also)

Step4: put both answers together and your end product would be (15x3 - 25x)

Answer:

15x3-25x

Step-by-step explanation:

Answer:

0.36

Step-by-step explanation:

We need to solve the first bracket first and then the others,

    Value of  Cos^ - 1(1/3) =70.53°

        Then,  90 - the value of cosine

             =19.47°

Then, put the new in the calculator:

     Tan (19.47°)

and the answer comes 0.3535294237

 then I use the nearest formula and got the answer = 0.36

Answer:

See step by step

Step-by-step explanation:

Answer:

0x²-7xy+10y²

Step-by-step explanation:

4x²-5xy+3y² + 8x²+7xy-6y²

4x²+8x²-5xy+7xy+3y²-6y²

=12x²+2xy-3y²

12x²-5xy+3y² + -2x²-9xy+13y²

12x²-5xy+3y² - 2x²-9xy+13y²

12x²-2x²-5xy-9xy+3y²+13y²

= 10x²-7xy+10y²

Hoped I helped

Answer:

-23

Step-by-step explanation:

Answer:

[tex]\Large \boxed{\mathrm{\bold{B.} } \ x=7, \ y = 4\sqrt{2} }[/tex]

Step-by-step explanation:

We can split the shape into a right triangle and a rectangle.

tan θ = opp/adj

Let c be the missing base for the right triangle.

tan45 = 4/c

c = 4/tan45

c = 4

x = 3 + 4

x = 7

sin θ = opp/hyp

sin45 = 4/y

y = 4/sin45

y = [tex]4\sqrt{2}[/tex]

Answer:

[tex]d=\sqrt{26}\approx5.0990[/tex]

Step-by-step explanation:

To find the distance between any two points, we can use the distance formula.

The distance formula is:

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

Let (2,8) be x₁ and y₁ and let (7,7) be x₂ and y₂. Thus:

[tex]d=\sqrt{(7-2)^2+(7-8)^2}[/tex]

Simplify:

[tex]d=\sqrt{5^2+(-1)^2}[/tex]

Square:

[tex]d=\sqrt{25+1}[/tex]

Add:

[tex]d=\sqrt{26}\approx5.0990[/tex]

And that's our answer :)

Answer:

Simple Linear Regression Correlation

Step-by-step explanation:

When it snows normally the schools continue .But constant snowing affects the schools continuity. As more and more snow falls more schools are closed.

There may be a situation where all the schools are closed at a certain temperature.

So it is a simple linear regression correlation because in it there are two variables and one variable is dependent on the other. In this example the schools are dependent on the average snowfall.

If there's a snow blizzard or extreme weather all the schools are definitely closed .

It can be represented by a graph.

Answer:

The slope of the line given by the equation is two.

Step-by-step explanation:

We are given the equation:

[tex]y+5=2(x+1)[/tex]

Notice that the equation is written in point-slope form. That is:

[tex]y-y_1=m(x-x_1)[/tex]

Where m is the slope.

From our given equation, we can see that m = 2.

Therefore, the slope of the given line is 2.

Answer:

2

Step-by-step explanation:

Put the line into slope intercept form:

y + 5 = 2(x+1)

Distribute the 2

y + 5 = 2x + 2

Isolate y to put into y = mx + b form

y = 2x - 3

So, the slope is 2 because it is the coefficient to x.

Answer:

Step-by-step explanation:

[tex]-5\left(p+\frac{3}{5}\right)=4\\\\\mathrm{Divide\:both\:sides\:by\:}-5\\\frac{-5\left(p+\frac{3}{5}\right)}{-5}=\frac{4}{-5}\\\\Simplify\\p+\frac{3}{5}=-\frac{4}{5}\\\\\mathrm{Subtract\:}\frac{3}{5}\mathrm{\:from\:both\:sides}\\p+\frac{3}{5}-\frac{3}{5}=-\frac{4}{5}-\frac{3}{5}\\\\Simplify\\p=-\frac{7}{5}\\\\p=-\frac{7}{5}[/tex]

Answer:

x =-1

Step-by-step explanation:

[tex]-2(bx - 5) = 16\\b = 3\\x = ?\\-2(3x -5)=16\\\\\mathrm{Divide\:both\:sides\:by\:}-2\\\frac{-2\left(3x-5\right)}{-2}=\frac{16}{-2}\\\\Simplify\\3x-5=-8\\\\\mathrm{Add\:}5\mathrm{\:to\:both\:sides}\\3x-5+5=-8+5\\\\Simplify\\3x=-3\\\\\mathrm{Divide\:both\:sides\:by\:}3\\\frac{3x}{3}=\frac{-3}{3}\\\\Simplify\\x =-1[/tex]

Answer:

C) 3.03

Step-by-step explanation:

Step(i):-

Given sample size 'n' = 50

The Mean of the population (μ) = 62

The standard deviation of the Population (σ) = 7

Mean of the sample(x⁻) = 65

Z-score

                 [tex]Z= \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }[/tex]

Step(ii):-

               [tex]Z= \frac{65 -62}{\frac{7}{\sqrt{50} } }[/tex]

              Z =  3.03

Final answer:-

The Z-score = 3.03

Answer:

19.4 units

Step-by-step explanation:

The hypotenuse length (c) of the given right triangle, ∆ABC, can be calculated using the Pythagorean Theorem, [tex] a^2 + b^2 = c^2 [/tex],

Where,

c is the longest/hypotenuse, a and b are the length of the other two legs.

Therefore,

[tex] c^2 = (16)^2 + (11)^2 [/tex]

[tex] c^2 = 256 + 121 = 377 [/tex]

[tex] c = \sqrt{377} = 19.4 [/tex] (nearest tenth)

Answer:

3x+10+y

Step-by-step explanation:

5x-y-3x+10+x+2y

5x-3x+x+10-y+2y

3x+10+y

Answer:

3x+y+10

Step-by-step explanation:

Since we are trying to combine like terms, we must rearrange the terms, and  group the terms with an x, together, a y together, and the constants. Doing that, we get

(5x+x-3x)+(2y-y)+10

Now we start with the x terms, and we add 5x+x=6x and then 6x-3x= 3x, so you have 3x, and now for the y terms

we have 2y-y=y and lastly we have a ten, so adding them together, we get

3x+y+10

Answer:

S = 2

Step-by-step explanation:

1st step: Simplify both sides of the equation

4/5 s - 3/4 s = 1/10

4/5 s + -3/4 s = 1/10

(4/5 s + -3/4 s) = 1/10 (combine like terms)

1/20 s = 1/10

1/20 s = 1/10

step 2: multiply both sides by 20

20 * (1/20 s) = 20 * (1/10)

s = 2

Hope this helped!

Answer:

about 15 billion

Step-by-step explanation:

Answer:

2400

Step-by-step explanation:

length times width times height

Answer:

350

Step-by-step explanation:

Area of rectangle = Length * width

Area = 25 * 8

Area = 200

Area of a triangle  = [tex]\frac{h_{b}*b}{2}[/tex]

Area = 150

Area = triangle area + rectangle

Area = 350

Step-by-step explanation:

[tex] {( - 2x {y}^{4} })^{4} [/tex]

[tex] = {( - 2)}^{4} \times {x}^{4} \times { {y}^{4} }^{4} [/tex]

[tex] = 16 {x}^{4} {y}^{16} [/tex]

Answer:

3/20

Step-by-step explanation:

3/5 ÷ 4

Copy dot flip

3/5 * 1/4

3/20

Answer:

Step-by-step explanation:

volume=1/3×area of base×height=1/3×6×6×√7=12√7 cubic units

[tex](1+i)^2-3(2-i)^3=1+2i-1-3(8-12i-6+i)=2i-6+33i=\boxed{-6+35i}[/tex].

Hope this helps.