The second angle in a triangle is 3° less than twice the first angle. The third angle measure is 8° more than twice the first angle. Find each angle

Answers

Answer 1

Answer: The first angle is 35°, the second angle is 67° and the third angle is 78°.

Step-by-step explanation:

Wee will represent the first angle by f,the second by s, and the third by t.

If gives us the information that the second angle is 3 less than twice the first one, that can be represent by the equation  s= 2f-3  .

The third angle is 8 more than twice the first so it can also be represent by the equation t= 2f + 8 .

Now we know the interior of angles of a triangle adds up to 180 degrees. so see the measures equal 180 to solve for f.

f+ (2f+8) + (2f -3) = 180  Combine like terms on the left side

5f + 5 = 180  

     -5      -5

5f= 175  

f = 35  

So the first angle is 35 degrees.

Second angle.

s=2(35) - 3  

s= 70 -3

s = 67  

The second angle is 67.

Third angle.

t = 2(35) + 8

t= 70 + 8

t= 78

The third angle is 78 degrees.

Now add the angles up to see if they equal 180 degrees.

35 + 67 + 78 = 180  

   180 = 180


Related Questions

7. Chantel Monroe charges $3.75 per page for typing rough drafts and an
additional $0.50 per page for changes and deletions. A manuscript had
212 pages, of which 147 pages had changes and deletions. What was
the total cost of typing the manustript?

Answers

answer

212 - 147 = () times 3.75

147 × 4.25 =

add them together and that's the total amount

Which single transformation can be applied to the graph of y = 72Vx to produce the graph of y = 9Vx?

Answers

Answer:

Horizontal compression

Step-by-step explanation:

Just took a test

Answer: horizontal compression

Step-by-step explanation:

Edge

what is -5 considered as

Answers

A negative Number, Hope this helped.
A negative odd number

Write in standard form.
2.87 x 104

A.28,700
B. 0.000287
C. 2,870
D. 287,000

Answers

Just multiply 10 times 10 times 10 times 10 then multiply 2.87 and it’ll get you A, or just use Siri like me

The general form of the number is 28,700. The correct option is A.

What is a standard form?

Any value between 1.0 and 10.0 that can be expressed as a decimal number and multiplied by a power of 10 is referred to as being in standard form.

The given number is 2.87 x 10⁴. The general form of the number can be written as:-

2.87 x 10⁴ = 2.87 x 10000

2.87 x 10⁴  = 28700

Multiply 2.87 by 10000 we will get the general form 28700 for the number.

Therefore, the general form of the number is 28,700. The correct option is A.

To know more about the standard form of the number follow

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find the area of a rectangle that has a length of 8 inches and a width of 9 inches​

Answers

Answer:

72in

Step-by-step explanation:

area=length x width

a=8x9

Simplify

(2x– 3) (5x4 – 7x3 + 6x2 – 9)



A. 10x5 – 29x4 + 33x3 - 18x2 18x + 27
B. 10x5 - x4-9x3 – 18x2 -18x - 27
C. 10x5 + 29x4 – 33x3 + 18x2 + 18x - 27
D. 10x5 + x4 + 33x3 + 18x2 + 18x + 27

Answers

Answer: (A)=10x5−29x4+33x3−18x2−18x+27

Step-by-step explanation:

How i solved it was by simplifying each answer there was available and (A) was the most compatiable answer!

=(2x+−3)(5x4+−7x3+6x2+−9)

=(2x)(5x4)+(2x)(−7x3)+(2x)(6x2)+(2x)(−9)+(−3)(5x4)+(−3)(−7x3)+(−3)(6x2)+(−3)(−9)

=10x5−14x4+12x3−18x−15x4+21x3−18x2+27

=10x5−29x4+33x3−18x2−18x+27

Answer:

=(2x+−3)(5x4+−7x3+6x2+−9)

=(2x)(5x4)+(2x)(−7x3)+(2x)(6x2)+(2x)(−9)+(−3)(5x4)+(−3)(−7x3)+(−3)(6x2)+(−3)(−9)

=10x5−14x4+12x3−18x−15x4+21x3−18x2+27

=10x5−29x4+33x3−18x2−18x+27

Step-by-step explanation:

What is the direction (angle) of the resultant vector?
Rx = -419
Ry = -253
R = 490
θ = ____ ° counterclockwise from the +x-axis

Answers

Answer:

[tex]\theta = 148.8[/tex]

Step-by-step explanation:

Given

[tex]R_x = -419[/tex]

[tex]R_y = -253[/tex]

[tex]R = 490[/tex]

Required

Determine the value of [tex]\theta[/tex]

Since, [tex]\theta[/tex] is counter clockwise from x axis;

The relationship between [tex]\theta[/tex], [tex]R_x[/tex] and R is

[tex]cos\theta = \frac{R_x}{R}[/tex]

Substitute values for Rx and R

[tex]cos\theta = \frac{-419}{490}[/tex]

[tex]cos\theta = -0.8551[/tex]

Take arccos of both sides

[tex]\theta = cos^{-1}(-0.8551)[/tex]

[tex]\theta = 148.770784108[/tex]

[tex]\theta = 148.8[/tex] (Approximated)

25 pts
Question 5
25 points
Jack and Jill went to the grocery store. They purchased 2 packages of
hamburger buns for $1.10 per package, one pound of hamburger meat for
$3.79, and 3 bottles of soda for $0.95 per soda. If Jack and Jill split the bill
evenly, then how much money did each person pay?

Answers

Answer:

$4.42!

Step-by-step explanation:

Just add all the prices together then divide by 2!

$1.10 * 2 + $3.79 + $0.95 * 3 = $8. 84

$8.84 ÷ 2 = $4.42!

What this person said on top

18. f-g4, if f =3 and g = -5=

Answers

Answer:

23

Step-by-step explanation:

Step 1:

3 - -5 (4)

Step 2:

3 - (-20)

Step 3:

3 + 20

Answer:

23

Hope This Helps :)

PLEASE HELP PRECALC WHAT IS THE SECOND ROW MULTIPLIED BY?

Answers

Answer:

the answer is .5 i think

The answer is D (0.5)

2(x+y) = 2x + 2y
what property is this

Answers

Answer:

Distributive Property.

Step-by-step explanation:

You distribute the 2 to each of the terms.

Please helpppp.

Name the property of it then simplify.

7+n=7+3

Answers

Answer:

I got u

Solve for n by simplifying both sides of the equation, then isolating the variable.

n=3

Step-by-step explanation:

Answer:

communitative property

n=3

Which of the following is most likely the next step in the series

Answers

Answer:

The answer is C

Step-by-step explanation:

You have to find the pattern, in this case it's 4,5,6, then 7

Hope this helps! :)

Answer:

its actualy D

Step-by-step explanation:

Wha t is the surface area of the square pyramid represented by the net below

Question
112
48
64
96

Answers

Answer:64

Step-by-step explanation:multiply the two numbers

rachel is setting up for her birthday . rachel wants to put the same number of chairs around each table . how many chairs will rachel place around each table at her birthday party ?

choices
3
4
5
6​

Answers

Answer:

6 chairs around each table

Step-by-step explanation:

just did it

You buy 2 pairs of shoes for $14 each. You give the cashier $29. Which of the following is a good estimation of the change you will get back?

Answers

Answer:

Hey there!

A good estimation is one dollar.

2 pairs of shoes for 14 dollars= 28 dollars

29-28=1 dollars.

Hope this helps :)

r/4 - 1.4 =1.58 what should be the first step?

Answers

Answer:

R/4 - 1.4 =1.58

R/4 = 1.58 + 1.4

R/4 =2.98

r=11.92

Step-by-step explanation:

Factor the given polynomial.
9z^2 +15z +4
Select the correct choice below​ and, if​ necessary, fill in the answer box within your choice.
A. 9z^2 +15z +4=
B.The polynomial is prime.

Answers

Answer:

(3z + 1)(3z + 4)

Step-by-step explanation:

[tex]9 {z}^{2} + 15z + 4 \\ = 9 {z}^{2} + 3z + 12z+ 4 \\ = 3z(3z + 1) + 4(3z + 1) \\ = (3z + 1)(3z + 4)[/tex]

Consider the following exam question and student solution. Determine whether the solution is correct. If it is not​ correct, write a note to the student explaining why it is wrong and give a correct solution. Exam​ question: You can buy a ​56 pound bag of flour for ​$9 or you can buy a​ 1-pound bag for .39 cents. Compare the per pound cost for the large and small bags. Student​ solution: The large bag price is 56 divided by 9=6.22 ​per​ pound, which is much more than the 39 cent per pound price of the small bag.

Answers

Answer:

actually a 56 pound bag cost =9

so one pound bag cost =9/56=0.16 cents

Step-by-step explanation:

what kind of number is -18 and explain why it is

Answers

Answer:

Step-by-step explanation:

-18 is a integer because it has negative sign

☽------------❀-------------☾

Hi there!

~

-18 is an integer number because of the " - " sign. I hope the picture will explain why -18 is an integer number!

❀Hope this helped you!❀

☽------------❀-------------☾

please solve as fast as possible...
No spams please......​

Answers

Answer:

In ∆ABD and ∆ACD

<BAD =<CAD ( each are half of <A )

<D=<D ( each equal to 90°)

AD = AD ( common)

So ∆ ABD is congruent to ∆ ACD.

Then AB =AC (by C.P.C.T)

Hence,∆ABC is an iso - sceles triangle.

A zoo has 15 Emperor penguins. The Emperor penguins make up 30 percent of all the penguins at the zoo. how many penguins does the zoo have?

Answers

Answer:

50 penguins

Step-by-step explanation:

Let the total number of penguins = x

30% of x = 15

[tex]\frac{30}{100}*x=15\\\\\\x=15*\frac{100}{30}\\\\x=50[/tex]

Answer:

50

Step-by-step explanation:

15 x 100 equals 1500

1500 divided by 30 equal 50

Hopefully this helps you :)

pls mark brainlest ;)

Recall the Survivor: 21 Flags game from the page on backward induction. Assume that you are playingthe same game with the same rules EXCEPT now the team who takes the last flag loses.a) (30 points) What should each team’s strategy be?b) (5 points) What is the best move for the first team to move?c) (5 points) What is the best move for the second team to move?

Answers

Answer:

Given that there are 21 flags, NOW using backward induction we can see that;

If there is only one flag left, whosoever picks up that particular  flag will lose. Therefore, 1 is loosing number.

Now if there are 2 flags left, whosoever's turn it is, can pick 1 flag and leave one for the opponent and win the game. Therefore, 2 is winning number. Similarly if there are 3 flags left then whosoever's turn it is can pick 2 flags and leave one for the opponent and can win the game. Hence 3 is winning number. Similarly when 4 flags left, 3 can be picked up and leave one for the opponent and win the game. So, 4 is also winning number.

Now, if there are 5 flags left, then no matter whichever number you choose among 1,2 or 3 you gonna leave other team with 4,3 or 2 respectively and all 3 are winning number. Therefore, 5 is loosing number.

Similarly, if you have 6,7,8 then by taking 1,2,3 respectively you can leaveyour opponent with number 5 and that is loosing number and you can win certainly. Therefore, 6,7,8 are also winning number.

Following above discussion, we see a pattern among the number that would make sure you win and with other numbers you loose.

we see after 1 if we go in positive direction on number line till 21 then every fourth number is loosing number because no matter what you choose you will leave your opponent with a winning number of flags and if your opponent knows and follows the optimal strategy can win. Therefore,

Loosing Numbers = 1,5,9,13,17 and 21

Winning Numbers = 2,3,4,6,7,8,10,11,12,14,15,16,18,19 and 20

a) STRATEGY

If you are a team that is stuck with any of loosing number that is 1,5,9,13,17 or 21 then no matter what strategy you follow you gonna loose. Therefore, there is n winning strategy in this situation given other team also knows the winning strategy

But if you have any of winning numbers at any point then you can follow the following strategy and can win

- 2 flags = pick up one flag and leave 1 for the opponent, win

- 3 flags = pick up 2 flags and leave 1 for the opponent, win

- 4 flags = pick up 3 flags and leave 1 for the opponent, win

- 6 flags = pick up one flag, then no matter what your opponent chooses you follow either strategy number 1,2 or 3 based on the number of flags left and win

- 7 flags = pick up 2 flags, then no matter what your opponent chooses you follow either strategy number 1,2 or 3 based on the number of flags left and win

- 8 flags = pick up 3 flags, then no matter what your opponent chooses you follow either strategy number 1,2 or 3 based on the number of flags left and win

- 10 flags = pick up one flag, then no matter what your opponent chooses you follow either strategy number 4,5 or 6 based on the number of flags left and win

- 11 flags =  pick up 2 flags, then no matter what your opponent chooses you follow either strategy number 4,5 or 6 based on the number of flags left and win

- 12 flags =  pick up 3 flags, then no matter what your opponent chooses you follow either strategy number 4,5 or 6 based on the number of flags left and win

- 14 flags =  pick up one flag, then no matter what your opponent chooses you follow either strategy number 7,8 or 9 based on the number of flags left and win

- 15 flags =  pick up 2 flags, then no matter what your opponent chooses you follow either strategy number 7,8 or 9 based on the number of flags left and win

- 16 flags =  pick up 3 flags, then no matter what your opponent chooses you follow either strategy number 7,8 or 9 based on the number of flags left and win

- 18 flags =  pick up one flag, then no matter what your opponent chooses you follow either strategy number 10,11 or 12 based on the number of flags left and win

- 19 flags = pick up 2 flags, then no matter what your opponent chooses you follow either strategy number 10,11 or 12 based on the number of flags left and win

- 20 flags = pick up 3 flags, then no matter what your opponent chooses you follow either strategy number 10,11 or 12 based on the number of flags left and win

b)

Since team moving first will have 21 flags left on ground and it is a loosing number, no matter which number it chooses to pick it is gonna loose as it will leave other team with winning number. So, they will be indifferent between choosing 1,2 or 3

c)

If first teams removes 1 flag then best strategy for second team would be to remove 3 flags and again leave first team with loosing number

similarly, If first teams removes 2 flags then best strategy for second team would be to remove 2 flags and again leave first team with loosing number

and If first teams removes 3 flags then best strategy for second team would be to remove only 1 flag and again leave first team with loosing number

Help me pleaseee

The bottom number is a 4 btw it’s 20 points ❤️

Answers

Answer: It is 20 m, multiply each number by 1.25

Determine whether f(x) = 3x + 1 and g(x) = (x-1) / 3 are inverses functions. Group of answer choices There are not inverses since both composition equal x. There are inverses since both composition equal x. There are inverses since both composition equal x + 1. There are not inverses since (f (g(x)) = x + 1

Answers

Answer:

They are inverses since both composition equal x.

Step-by-step explanation:

Given the functions, f(x) = 3x + 1 and g(x) = (x-1) / 3, to check if they are inverses functions, we are to find the inverse of one of the function and check if it will give us the other function.

Let's look for the inverse of f(x).

Given f(x) = 3x+1

Let y = f(x) so that y = 3x+1

Replace y with x

x = 3y+1

Make y the subject of the formula of the resulting equation;

3y = x-1

y = (x-1)/3

The new function of x will be the inverse of f(x)

Hence f^-1(x) = (x-1)/3 = g(x)

Another way to check is to find their composition. Let's find f(g(x) and g(f(x)

F(g(x)) = f((x-1)/3)

Replace x with (x-1)/3 in f(x)

F(g(x)) = 3[(x-1)/3]+1

F(g(x)) = x-1+1

F(g(x)) = x

Similarly for g(f(x));

g(f(x)) = g(3x+1)

Replace x in g(x) with 3x+1

g(3x+1) = (3x+1-1)/3

g(3x+1) = 3x/3

g(3x+1) = x.

Since g(f(x)) = f(g(x)) = x, hence f(x) and g(x) are Inverses functions

write in algebraic expression 15 less than the product of 2 and r

Answers

Answer:

2r - 15

Step-by-step explanation:

product of 2 and r is 2r and then minus by 15. im sorry if this is wrong haha

The algebraic expression for the statement"15 less than the product of 2 and r" will be 2r-15.

What is a mathematical expression?

A phrase is considered a mathematical expression if it contains at least two numbers or variables and one or more mathematical operations. Mathematicians can multiply, divide, add, or subtract. An expression is structured as follows: Number/variable, mathematical operator, and expression.

It is given that the expression is, "15 less than the product of 2 and r."

Let the expression is equated to x in order to represent,

x=15 less than the product of 2 and r

x=2r-15

Thus, the algebraic expression will be 2r-15.

Learn more about the expression here:

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What is the value of f^-1(0)?



Please help! It’ll be greatly appreciated!

Answers

Answer:

[tex]f^{-1}(0)=6[/tex]

Step-by-step explanation:

So, we have the graph y=f(x).

And we want to find:

[tex]f^{-1}(0)[/tex]

Remember that the inverse of a function is simply the x-values and y-values swapped. To see this, let's let our inverse equal y:

[tex]f^{-1}(0)=y[/tex]

This means that we have the point:

[tex](0,y)[/tex]

So, to find our solution, we will swap the x- and y-coordinates. This gives us:

[tex](x,0)[/tex]

So, simply need to find the x-coordinate such that y is 0.

From our graph, we can see the point (6,0). In other words:

[tex]f(6)=0[/tex]

So:

[tex]f^{-1}(0)=6[/tex]

And we're done!

Use completing the square to solve for x in the equation (x + 7) (x minus 9) = 25.

Answers

Answer:

x=1+/- the square root of 89

Answer:

x=1+ (square root of 89)

Step-by-step explanation:

44. Find the total area of the shaded rectangles.
9
х
х
2

Answers

Answer:

(x² + 18) units²

Step-by-step explanation:

Area of a rectangle = l*w

There are two shaded rectangles found inside the large rectangle. Let us represent the smaller shaded one as Rectangle 1, the bigger shaded rectangle as Rectangle 2.

Below are the dimensions and area if each of them:

Rectangle 1 (small shaded rectangle):

l = x

w = x

Area = x * x = x² units²

Rectangle 2 (bigger shaded rectangle):

l = 9

w = 2

Area = 9*2 = 18 units²

Total area of the shaded rectangles = x² + 18 = (x² + 18) units²

Find the size of an angle which is four times its complement.​

Answers

Answer:72°


Step by step explanation:


x° =4(90 - x)° Distribute the 4.

x° = 360° - 4x Add 4x to both sides

5x° = 360° Divide both sides by 5

x° = 72°

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