Solve.

y = 6x − 9
y = x + 1

According to the diagram:-

Exterior angle is equal to the sum of two opposite interior angle

[tex] \angle D + \angle \: E = ext \angle C \\ 6x + 8 + 5x + 8 = 82 \\ 11x + 16 = 82 \\ 11x = 82 - 16 \\ 11x = 66 \\ x = \frac{66}{11} \\ x = \frac{ \cancel{66}^{ \: \: 6} }{ \cancel{11} } \\ x = 6[/tex]

The value of x from the figure is 6

The sum of the interior angles of a triangle is equal to its exterior

Acording to the figure shown;

6x + 8 + 5x + 8 = 82

11x = 82 - 16

11x = 66

Divide both sides by 11

111x/11 = 66/11

x = 6

Hence the value of x from the figure is 6

Learn more on angles of a triangle here: https://brainly.com/question/25215131

Answer:

21

Step-by-step explanation:

Let x = number of t-shirts

Let y = total cost

If the company charges $3 per shirt, plus a $50 flat fee for shipping:

⇒ y = 50 + 3x

If the school spends $113 total, subtitute y = 113 and solve for x:

⇒ 113 = 50 + 3x

⇒ 113 - 50 = 3x

⇒ 63 = 3x

⇒ x = 63 ÷ 3

⇒ x = 21

Therefore, the choir bought 21 t-shirts

Solution:

Note that:

Solve the equation to find out how many shirts did the school choir bought.

The school choir bought 21 shirts.

Answer:

25%

Step-by-step explanation:

ratio is 3B : 1G  (this means, out of 4 sections, 3 are boys and 1 are girls)

this means that 3/4 of class is boys and 1/4 are girls

1/4 equals 25%

An$41 dollars left to spend

Step-by-step explanation:

Answer:

The answer to the logarithm is 2 so inputting this into the equation it would now be 2 ( 4 + 6) - 2(4) = 4 now solving it would be 20 - 8 which is 12/3 which is 4 so the final answer will be 1/4.

Step-by-step explanation:

Explanation:

Divide the distance (750) over the time (10) to get the speed

750/10 = 75

The velocity is made up of the speed and the direction. Therefore, her velocity is 75 meters per minute north. For each minute, she moves another 75 meters north.

Step-by-step explanation:

To find the cost of the tip, we need to find 120% of 39.50.

120% = 100% (order) + 20% (tip)

Let's use fractions. 39.50 can be put over 1, and 120 can be put over 100.

Equation:

[tex]\frac{39.50}{1} \times \frac{120}{100} =?[/tex]

Multiply:

[tex]\frac{39.50}{1} \times \frac{120}{100} =\frac{4740}{100}[/tex]

Divide 4740 and 100 by 100:

[tex]\frac{4740 \div 100}{100 \div 100} = \frac{47.4}{1}[/tex]

The total cost of the food is $47.40.

Answer:  y =  mx+cG =  A100​G =  A100​G =  A100​

Step-by-step explanation:  Solve for c

c=y−mx  

{

m=−

x

c−y

​

,

m∈R,

​

x



=0

y=c and x=0

​

Answer:

y= -2x+1

Step-by-step explanation:

The slope of the line is -4/2, which gets simplified to -2. Then, the line passes through y-intercept (0,1), which becomes +1 as the y-intercept in y=mx+b form. Therefore, the equation is y= -2x+1. I'm 100% sure this is right. Hope that helps :)

Answer:

The amount of region enclosed by a plane-closed figure is called its Area. Hence, correct answer is Area.

FROM

SURAJ SAINI

Answer:

Assuming those triangles are both right, the answer is 5.3

Answer:

123

Step-by-step explanation:

Squaring the given equation gives

[tex]t^2+(2\cdot t \cdot \frac{1}{t} )+ \frac{1}{t^2}=9.[/tex]

The [tex]t[/tex] and [tex]\frac{1}{t}[/tex] terms cancel out nicely, which is one of the reasons for squaring the equation.

Simplifying gives

[tex]t^2+2+\frac{1}{t^2}=9,[/tex]

[tex]t^2+\frac{1}{t^2}=7.[/tex]

The question asks for [tex]t^5+\frac{1}{t^5},[/tex] so we can square the equation again and simplify to get higher powers into the expression:

[tex](t^2+\frac{1}{t^2})^2=49,[/tex]

[tex]t^4+(2 \cdot t^2 \cdot \frac{1}{t^2}) + \frac{1}{t^4}=49,[/tex]

[tex]t^4+2+ \frac{1}{t^4}=49,[/tex]

[tex]t^4+\frac{1}{t^4}=47.[/tex]

Multiplying this expression by [tex]t+\frac{1}{t}[/tex] to try and get a fifth power gives

[tex](t^4+\frac{1}{t^4})(t+\frac{1}{t})=t^5+t^3+\frac{1}{t^3}+\frac{1}{t^5}.[/tex]

The only thing left we need is [tex]t^3+\frac{1}{t^3}[/tex] to subtract from this; we know everything else. Since [tex]t^3+\frac{1}{t^3}[/tex] can be written as [tex](t+\frac{1}{t})(t^2-1+\frac{1}{t^2}),[/tex] we can simply plug in the values we know for [tex]t+\frac{1}{t}[/tex] and [tex]t^2+\frac{1}{t^2}:[/tex]

[tex]t^3+\frac{1}{t^3}=(3)(7-1)=18.[/tex]

All that is left is to plug it in our equation here:

[tex](t^4+\frac{1}{t^4})(t+\frac{1}{t})=t^5+t^3+\frac{1}{t^3}+\frac{1}{t^5},[/tex]

[tex](47)(3)=t^5+\frac{1}{t^5}+18,[/tex]

Multiplying and rearranging gives:

[tex]t^5+\frac{1}{t^5}=123.[/tex]

Answer: either -65 or -2.6

Hope this helps

It depends on the way you do the math, but Its one of those.

Answer:

1999 The most points scored in an NHL career is 2,857, achieved by Wayne Gretzky (Canada) while playing for the Edmonton Oilers (Canada), Los Angeles Kings, St Louis Blues and New York Rangers (all USA) from 1979 to 1999. The points total comprises 894 goals and 1,963 assists in 1,487 games.

Step-by-step explanation:

a) Wayne Gretzky's average points per game is approximately 1.9202.

b) Wayne Gretzky would have scored approximately 151.5438 more points if he had played 79 more games.

a) To calculate Wayne Gretzky's average points per game, we divide the total points scored (2857) by the total number of games played (1487):

Average points per game = Total points scored / Total games played

Average points per game = 2857 / 1487 ≈ 1.9202

Wayne Gretzky's average points per game is approximately 1.9202.

b) To find out how many more points Wayne Gretzky would have scored if he had played 79 more games, we can use the average points per game calculated in part (a).

We know that his average points per game is approximately 1.9202. So, to find the additional points in 79 games, we can multiply the average points per game by the number of additional games:

Additional points = Average points per game * Additional games

Additional points = 1.9202 * 79 ≈ 151.5438

Wayne Gretzky would have scored approximately 151.5438 more points if he had played 79 more games.

To know more about average points:

https://brainly.com/question/16699422

#SPJ2

The statement that must be true about the two similar triangles based on the triangle similarity theorem is: option 2 and option 3.

The triangle similarity theorem states when a segment intersects the other two sides of a triangle, and the segment is parallel to the third side, then the two triangles formed are similar, and the corresponding sides are proportional to each other.

Given that line segment BD is parallel to line segment AE, therefore, triangles CBD and CAE are similar triangles, their corresponding angles are congruent, while their corresponding sides are proportional.

Therefore, the statement that must be true about the two similar triangles based on the triangle similarity theorem is: option 2 and option 3.

Learn more about triangle similarity theorem on:

https://brainly.com/question/8242716

The cost price of this television set is equal to $447.87.

Given the following data:

To calculate the cost price:

In this exercise, you're required to determine the cost price of a television set that was sold for $421.

Mathematically, cost price is given by this formula:

[tex]Cost\;price = \frac{Selling\;price \times 100}{100-Percentage\;loss}[/tex]

Substituting the given parameters into the formula, we have;

[tex]Cost\;price = \frac{421 \times 100}{100-6}\\\\Cost\;price = \frac{42100}{94}[/tex]

Cost price = $447.87.

Read more on cost price here: brainly.com/question/933761

Answer:

I think its 4 because the y intercept should be at -5 and it looks like oits going t a slope of 2. SO i think 4 is correct

Step-by-step explanation:

SOLUTION:

=) (4a)² + 18 = 118

=) 16a + 18 = 118

=) 16a = 118 - 18

=) a = 100/16

=) a = 6.25

Answer:

2.5

Step-by-step explanation:

(4a)^2 + 18 = 118

16a^2 = 100

a^2 = 100/16

a^2 = 25/4

a = 5/2 = 2.5

Answer:

26.32

Step-by-step explanation:

50 + 9.5x = 300

9.5x = 250

x = 26.32

Have a good day!

Step-by-step explanation:

these are multiplications.

you could also write

4 + 5×(p - 1)

now, we need to calculate the contents of brackets (if we can), then do the multiplications and divisions, before we can do the then remaining additions and subtractions.

if we cannot do a calculation directly (because there is a variable involved), we need to do and document the single steps for the individual parts involved.

so,

4 + 5×(p - 1) = 4 + 5×p + 5×-1 = 4 + 5p - 5 = 5p - 1

remember, a multiplication of 2 expressions is done by multiplying every term of one expression with every term of the other expression and adding the results up (by considering their individual signs, of course).

Answer:

Volume: 198in³

Step-by-step explanation:

L x W x H

length x width x height

Length = 8in

Width = 4 1/2in or 4.5in

Height = 5 1/2in or 5.5in

8 x 4.5 x 5.5 = 198in³

Answer:

198 inches cubed

Step-by-step explanation:

The formula for volume for a rectangular prism is V=whl or volume equals width x height x length. I'm personally not a huge fan of fractions, so I convert 4 1/2 to 4.5 and 5 1/2 to 5.5. If you multiply 4.5 (the width), 8 (the length), and 5.5 (the height) together, you get 198 inches cubed.

Have an amazing day!

[:

Answer:

slope is 46

Step-by-step explanation:

picture

Answer: (0,1)

Step-by-step explanation:

Coordinates of the points are (-4,-3) and (4,5) so the midpoint is

((-4+4)/2,(-3+5)/2) = (0,1)

Step-by-step explanation:

11/4 or 2¾

easy peasy....

Step-by-step explanation:

[tex]x - 6 < - 4[/tex]

[tex]x - 6 + 6 < - 4 + 6[/tex]

[tex]x < 2[/tex]

When the urn is reflected over x = 1, the new urn becomes a mirror of the old diagram.

From the question, we understand that the new poster design is to be drawn by reflecting the urn (i.e. the red figure) across the line x = 1

The line x = 1 is a vertical line that passes through the x-axis at x = 1.

To reflect the urn across x = 1, we simply flip the urn over the line.

See attachment for the diagram

Read more about reflection at:

https://brainly.com/question/4289712

When the urn is reflected over x = 1, the new urn becomes a mirror of the old diagram.

The new poster design is to be drawn by reflecting the urn (i.e. the red figure) across the line x = 1

The line x = 1 is a vertical line that passes through the x-axis at x = 1.

To reflect the urn across x = 1, we simply flip the urn over the line.

_______|________

\              |              /

 \            |            /

 /            |            \

/______|_______\

             |

(copy and paste for the people that have to "draw" this out on odyssey ware <3) p.p.s just copy the thing. it won't paste correctly.

Using the distance formula, the distance between (-3, 4) and (2, -3) is: 8.6 units.

Distance formula for calculating the distance between two points on a coordinate plane is given as: [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex].

Let,

(-3, 4) = (x1, y1)

(2, -3) = (x2, y2)

Plug in the values

[tex]c = \sqrt{(2 - (-3))^2 + (-3 - 4)^2} \\\\c = \sqrt{74} \\\\[/tex]

c = 8.6 units.

Therefore, using the distance formula, the distance between (-3, 4) and (2, -3) is: 8.6 units.

Learn more about distance formula on:

https://brainly.com/question/661229

Step-by-step explanation:

it is the area of the square minus 4 quarter circles (which means 1 full circle) with radius of 10 ft (the half of a side of the square).

we know how to calculate the area of a square "As"

As = side²

we know how to calculate the area of a circle "Ac"

Ac = pi×radius²

so, the shaded area "Ashade"

Ashade = side² - pi×radius² = 20² - pi×10² =

= 400 - pi×100 = 85.84073464... ft²

I don't know, if you need to round the answer in some way.

if it is to e.g. 2 digits after the decimal point (hundredths), then it would be

85.84 ft²

Answer: I GOT YOU

Step-by-step explanation: The poster says, "Open an account of ​$3,500 and earn at least ​$10 interest in 1​ month!" is correct

He decides to make a poster advertising a simple interest rate of 4.8%.  

We have to find what must the principal be if the bank manager also wants to advertise that one can earn  $10 the first month

So, the statement is correct.

Hence, the amount to be invested is $2500 and the poster says correctly.

Answer: 4,000

Step-by-step explanation: Dont feel like explaining, just trust me.

Answer: x = -5 and y = -5

Step-by-step explanation:

They drew the linear graph for the simultaneous equations on the graph already

The answer the the equations is the intersection of the lines which is (-5,-5) or x = -5 and y = -5

Answer:

-2.1°F

Step-by-step explanation:

We will subtract 28.8°F from 30.9°F and then reverse our answer.

30.9°F - 28.8°F = 2.1°F

= -2.1°F.

Answer: -2.1°F

The correct answer is -2.1°F. You do this by simply subtracting 28.8 by 30.9. When doing this, you get -2.1. So the temperature at midnight was -2.1°F.

Step-by-step explanation:

Hope this helps =)