One angle of a triangle measures twice the smallest angle. The third angle measures five more than twice the smallest angle. Find the measure of the smallest angle.

Answers

Answer 1

Answer: The smallest angle is 35°

Step-by-step explanation:

1 angle: 2x

smallest angle: x

third angle: 2x + 5

all angles in a triangle add up to 180 degrees. Therefore,

2x+x+2x+5 = 180

5x+5=180

5x+5(-5)=180(-5)

5x = 175

5x/5 = 175/5

x = 35

The smallest angle is 35°


Related Questions

Adigital option is one in which the payoff depends in a discontinuous way on the asset price. The simplest example is the cash-or-nothing option, in which the payoff to the holder at maturity T is X1{ST>K} where X is some prespecified cash sum. Suppose that an asset price evolves according to the binomial model in which, at each step, the asset price moves from its current value Sn to one of Snu and Snd. As usual, if T denotes the length of each time step, d < erT < u. Find the time zero price of the above option. You may leave your answer as a sum.

Answers

Answer:

[tex]V_{0} = e^{-rt}[/tex] ∑ [tex]uPdx^{(1-p)} *S_{o}[/tex]  

Step-by-step explanation:

The Payoff to the holder at maturity T = X1{ST > K}, where X = pre-specified cash sum.

Current value of asset price = Sn  after evolvement of asset price in reference to binomial model

Hence at every  step value changes to SnU and Snd

where ; d < e^rΔT < u  and Δ T = length of each step

u = ups

d = downs

Determine the time zero price of the above option

First we will find the price after each period

After one period :

when the price goes up, Sn + ΔT = Su

when the price goes down, Sn + ΔT = Sd

After  period two

For Su

when price goes up, Sn +2ΔT = Su2

when price goes down, Sn +2ΔT = Sud

For Sd

when  price goes down, Sn +2ΔT = Sd2

when price goes up, Sn +2ΔT = Sdu

To get the time zero price we will have to apply the same procedure in reverse position den get the sum pf all ups and downs which is

sum of all ups and downs = [tex]e^{-rT}[/tex]∑ [tex]uPd^{(1-p)}[/tex]

[tex]V_{0} = e^{-rt}[/tex] ∑ [tex]uPdx^{(1-p)} *S_{o}[/tex]  

Any help on this?
Y=3x+7
Y=x+1

Answers

Answer:

The answer is (x,y)=(-3,-2)

Step-by-step explanation:

I used the comparison method because I dont know what type of method you needed, sorry. The methods I know would be: the Comparison Method (what I used), the Substitution Method, Elimination Method,Inverse Matrix Method, Cramer's Rule, and the Gauss-Jordan Method.

You can also rewrite this equation to 3x-y=-7 and x-y=-1.

I'm sorry, I dont know what kind of answer you're looking for. I really hope this helps.

A box contains 20 red balls, 25 white balls, and 55 blue balls. Suppose that 10 balls are selected at random one at a time with replacement; that is, each selected ball is replaced in the box before the next selection is made. Determine the probability that at least one color will be missing from the 10 selected balls.

Answers

Answer:

0.164 = 16.4% probability that at least one color will be missing from the 10 selected balls.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Determine the probability that at least one color will be missing from the 10 selected balls.

Red missing:

Each time, there are 55 + 25 = 80 non-red balls, out of 100. So, in each of the 10 trials, 80% = 0.8 probability of not picking a red ball. The probability that no red ball is picked is given by:

(0.8)^10 = 0.1074

White missing:

55 + 20 = 75 non-white balls, out of 100, in each trial. The probability that no white ball is picked is given by:

(0.75)^10 = 0.0563

Blue missing:

45 non-blue balls, out of 100. The probability that no blue ball is picked is given by:

(0.45)^10 = 0.0003

Total:

0.1074 + 0.0563 + 0.0003 = 0.164

0.164 = 16.4% probability that at least one color will be missing from the 10 selected balls.

how many solutions does 3-2x=x+3 have​

Answers

Rezultatul este 1 sa scri 1

Step-by-step explanation:

-2x-x=3-3

{-x=0}×-1

X=0

Prove if 5n+3 is odd, then 7n+4 is even

Answers

n = 2 , then just fill in “2” to where n would go

PLEASE HELP ME! DUE VERY SOON AND I GIVE BRAINLIEST IF U ANSWER!

Write a fraction in which the numerator and denominator are both greater than 9.

btw im pretty sure that it has to be an improper fraction since it’s over 9 and 9 is a whole number.

Answers

Answer:

Step-by-step explanation:

It does not need to be an improper fraction.

For example, the numerator and denominator of 10/11 are both greater than 9, but 10/11 is not an improper fraction.

Answer:

Remember that a number divided by itself is 1. That means if the numerator and denominator are the same, the fraction is equal to 1. So all of the following are equal to 1: 2/2, 3/3, 4/4, and so on and so forth. so a good one you could do is 9/9

Step-by-step explanation:

write an expression that is equivalent to (x-5)²​

Answers

Answer:

x²-10x+25

Step-by-step explanation:

expand the expression

(x-5)²

(x-5)(x-5) distribute

x²-5x-5x+25

combine like terms

x²-10x+25

if you get x^2-25 then you're only squaring the x and 5, you have to square the whole equation (x-5)(x-5) is doing (x-5)^2. for example, if you just had (5)^2 you would take the whole "equation" which is 5 and times that equation by itself.


How many 1/3 inch cubes does it take to fill a box with width 2 2/3
inches, length 3 1/3 inches, and height 2 1/3 inches?





Answers

Answer:

Step-by-step explanation:

2 Which graph shows a proportional relationship? a b c d ​

Answers

Answer:

x xjjkdjbdnnxuhxnmdujxnxlxuxbx

an enrollment of 200 students and this year enrollment has increased by 118%. What is this year's enrollment ?

Answers

Answer:

436 students

Step-by-step explanation:

Original number of students enrolled = 200students

% increase = 118%

Increment = 118% of 200

Increment = 1.18 * 200

Increment = 236

The year enrollment = 200 + 236

The year enrollment = 436 students

1) Plz help with these 2 questions having a hard time thank you ;)

Answers

Leading coefficient is 7

pa help po dito please need Napo kase ehhh​

Answers

(1) 4/5
(2) 7/9
(3) 6/10
(4) 8/8 or 1 whole
(5) 8/9

Need someone’s help please.

Answers

Answer

220

Step-by-step explanation:

11•10=110

110•2

220

Answer:

440miles

Step-by-step explanation:

She drove 11 miles to school and 11 miles back in the morning = 22 miles

She drove 11 miles to school and 11 miles back in the afternoon = 22 miles

Combined, the total for one day is 44.

For ten days, multiply 44 by ten to get 440 miles.

Which expression represents the algebraic phrase “eleven less than seven times a number”?
11x - 7
7x-11
11 + 7x
11-7x

Answers

11-7x because eleven less than is 11- and seven times a number is 7x

4+ 3/6 + 2/6! It’s zearn!!

Answers

Answer:

=29/6

Step-by-step explanation:

4+3/6+2/6

=4+1/2+2/6

=9/2+2/6

=9/2+1/3

=29/6

Answer:

4 5/6 = 29/6 = 4.833333333

Step-by-step explanation:

4+3/6+2/6

Reduce the fraction 3/6 to lowest terms by extracting and canceling out 3.

4+1/2+2/6

Convert 4 to fraction 8/2

8/2+1/2+2/6

Since 8/2 and 1/2 have the same denominator, add them by adding their numerators.

8+1 / 2 + 2/6

Add 8 and 1 to get 9.

9/2 + 2/6

Reduce the fraction 2/6 to lowest terms by extracting and canceling out 2.

9/2 + 1/3

Least common multiple of 2 and 3 is 6. Convert 9/2 and 1/3 to fractions with denominator 6.

27/6 + 2/6

Since 27/6 and 2/6 have the same denominator, add them by adding their numerators.

27+2 / 6

Add 27 and 2 to get 29.

29/6  

Which of the following are identities? Check all that apply.
A. cos(x+y)+cos(x-y)=cos^2x-sin^2y
B. sin(x-pi)=-sinx
C. sin(x+y)-sin(x-y)=2cosx siny
D. cos(x+y)+cos(x-y)=2cosx cosy

Answers

Answer: B, C, D

Step-by-step explanation:

/\.p.€.x

       Since, tigonometric identities are equal on both the sides (left hand side and right hand side) of the equation, Options (B), (C), and (D) represent the dientities.

Identification of the tigonometric identites: Trigonometric identities are the equalities having two trigonometric expressions equal for all values of the variables on both the sides.To prove the expression as identity prove both the sides of the equation are equal.

Option A

cos(x + y) + cos(x - y) = cos²2x - sin²2y

Left hand side = cos(x + y) + cos(x - y)

                        = cosx.cosy - sinx. siny + cosx.cosy + sinx.siny

                        = 2(cosx.cosy)

But the left side of the equation is (cos²2x - sin²2y).

Hence both the sides are not equal and it's not an identity.

OPtion (B).

sin(x - π) = -sinx

Left hand side = sin(x - π)
                        = -sinx sin(x - π)

                        = sinx.cosπ - cosx.sinπ

                        = -sinx - 0  

                        = -sinx  [Right hand side]

Since, both the sides are equal, it's an identity.

Option (C).

sin(x + y) - sin(x - y) = 2cosx.siny

Left hand side = sin(x + y) - sin(x - y)

                        = sinx.cosy + cosx.siny - sinx.cosy + cosx.siny

                        = 2cosx.siny

                         = Right hand side

Since, both the sides are equal, it's an identity.

Option (D).

cos(x + y) + cos(x - y) = 2cosx.cosy

Left hand side = cos(x + y) + cos(x - y)

                        = cosx.cosy - sinx.siny + cosx.cosy + sinx.siny = 2cosx.cosy                        

                        = Right hand side

Since, both the sides of the equation are are equal.  It's an identity.

       Therefore, Option (B), (C), (D) are the correct options.

Learn more about the trigonometric identities here,

https://brainly.com/question/12526684?referrer=searchResults

What percent of the shaded checker board squares do not have pieces?


VERY URGENT PLEASE

Answers

The 25% of the shaded checker board has pieces on it.

What percent of the shaded checker board squares do not have pieces?

To check that, we need to solve the expression below:

Percent = 100%*(# shaded squares with pieces)/(total # of shaded squares)

There are a total of 32 shaded squares, and in 8 of them we can see pieces, then we can replace these values in the formula above to get:

Percent = 100%*(8/32) = 25%

That is the percent of the shaded checker that has pieces.

Learn more about percentages at:

https://brainly.com/question/843074

#SPJ1

Figure ABCD is a trapezoid. Find
the value of x.
B.
3x + 2
C
13
4x + 3
А"
D
X= [?]

Answers

Answer: 3

Step-by-step explanation:

please help and good night​

Answers

Answer:

(7) n = ⁴/₃

(8) x = -5

(9) d = ³/₂

(10) v = -20

Step-by-step explanation:

(7) [tex]n-\frac{8}{9} = \frac{4}{9}[/tex]

[tex]n-\frac{8}{9} = \frac{4}{9} \\\\Collect \ similar \ terms \ together\\\\n = \frac{4}{9} + \frac{8}{9} \\\\n = \frac{4+8}{9} \\\\n = \frac{12}{9} \\\\n = \frac{4}{3}[/tex]

(8)

[tex]\frac{3}{2} + \ x = -\frac{7}{2}\\\\collect \ similar \ terms \ together\\\\x = -\frac{7}{2} -\frac{3}{2} \\\\x = \frac{-7-3}{2} \\\\x = \frac{-10}{2} \\\\x = -5[/tex]

(9)

[tex]\frac{6}{5} = \frac{d}{(\frac{5}{4} )} \\\\cross \ and \ multiply\\\\5d = 6(\frac{5}{4} )\\\\5d = \frac{30}{4} \\\\d = \frac{30}{4\times 5} \\\\d = \frac{30}{20} \\\\d = \frac{3}{2} \\\\d = 1\frac{1}{2}[/tex]

(10)

[tex]-\frac{1}{8} v = \frac{5}{2} \\\\\frac{-v}{8} = \frac{5}{2} \\\\cross \ and \ multiply\\\\-2v = 40\\\\-v = \frac{40}{2} \\\\-v = 20\\\\v = -20[/tex]

guys i really need help I'm so lost​

Answers

Answer:

5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

2 raised to 4 =2×2×2×2 =16. ; 3 raised to 2 =3×3=9.

=16-9-2

=5

That's it , Very easy

A firm’s liquidity level increases when

Answers

A company's liquidity ratio is a measurement of its ability to pay off its current debts with its current assets. Companies can increase their liquidity ratios in a few different ways, including using sweep accounts, cutting overhead expenses, and paying off liabilities.

Carsen loves to run. She runs 4 miles each day. If she wants to run a total of 56 miles how many days should she run? Write an equation to show this problem along with the answer. *Please click on "show your work" to set up the problem and show your work. Then, enter your answer in the box to the right. You must complete both of these steps.​

Answers

Answer:

56 dived by 4. answer would be 14. so she would need to run two weeks

Step-by-step explanation:

Answer:

14  need to run two weeks

Step-by-step explanation:

I need help please HeLp

Answers

Answer:

The triangle is 1, since 10 - 1 is 9.

Hope that helps!

Step-by-step explanation:

An angle measures 170°. Through what fraction of
a circle does the angle turn?

Answers

My answer: i need a graph

Mika rides his bike 3 miles each way to his friend's house. He leaves his house at 4 p.m. How many miles does he ride his bike there and back? What information is extra?​

Answers

Answer:

How many miles does he ride his bike there and back?

6 miles.

What information is extra?​

The hour at which he leaves his house.

Step-by-step explanation:

We know that he rides 3 miles each way.

Then he rides 3 miles from his house to his friend's house, and another 3 miles from his friend's house to his house.

So he rides 3 miles both times, if we add that, we get:

3 miles + 3 miles = 6 miles

So:

How many miles does he ride his bike there and back?

6 miles.

And to answer the other question, we need to look at the given information that we did not use in this calculation. In this case, is the hour at which he leaves his house.

Notice that we never did use the fact that he leaves his house at 4 p.m.

Then:

What information is extra?​

The hour at which he leaves his house.

A circle of a radius r,cm inside a square, so that the circle touches the sides of the square.
a) calculate the area of the shaded region when r=6

Answers

Answer:

30.9 square cm

Step-by-step explanation:

subtract area of circle from area of square

Area of square = 12² or 144  

(each side is twice the radius)

Area of circle = 6²π or 113.1


Rectangle A is a scaled version of rectangle B. The dimensions of rectangle A are four times the dimensions of rectangle B. The
area of rectangle A is 288 sq cm.
What is the area of rectangle B?

Answers

Answer:

1152

Step-by-step explanation:

288 x 4=1152

help me pls asap!!!!!

Answers

The graph Does match the values in the table.

Have a great day!

Answer:

Check x values and Y values along axis'.  It does match

Step-by-step explanation:

que pasa si un objeto imparable choca con uno inabobible​

Answers

English Answer: No object can resist an irresistible force. No force can move an immovable object. So if an immovable object meets an irresistible force it will move and not move.English:

Spanish Answer: Ningún objeto puede resistir una fuerza irresistible. Ninguna fuerza puede mover un objeto inamovible. Entonces, si un objeto inamovible se encuentra con una fuerza irresistible, se moverá y no se moverá.

Step-by-step explanation:

¿Qué pasaría si una fuerza imparable chocara contra un objeto inamovible? Las respuestas comunes a esta paradoja recurren a la lógica y a la semántica.

Lógica: Si existe una cosa tal como una fuerza imparable, entonces no puede existir un objeto inamovible y viceversa. Es lógicamente imposible la existencia de los objetos (una fuerza imparable y un objeto inamovible) en un mismo universo al mismo tiempo.

Semántica: Si existe una cosa tal como una fuerza imparable, entonces hablar de un objeto inamovible no tendría sentido en ese contexto y viceversa, con lo cual el asunto vendría a ser algo así como preguntar, por ejemplo, por un triángulo de cuatro lados.

I need help please.

Answers

Answer:

Not a function.

Step-by-step explanation:

The vertical line test is when you run a line -vertical or AKA: up and down- through the path of a graph if the line runs through the path more than once, it has failed the vertical line test, and therefore is not a function. The graph in question fails this test, and cannot be a function.

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