A pentagon has two exterior angles that measure (3x)°, two exterior angles that measure (2x+22)°, and an exterior angle that measures (x+41)°. If all of these angles have different vertices, what is the measure of the smallest exterior angle? 25°25 degrees 66°66 degrees 75°75 degrees 72°

Answers

Answer 1

Answer:

2(3x)+2(2x+22)+x+41=360°

Step-by-step explanation:

Sum of exterior angles of any polygon is 360°.

So if we add up all five exterior angles of the pentagon, we have


Related Questions

I need help with this worksheet I don't understand from 12-14​

Answers

Answer:

13.jawaban nya

c.

14.jawaban nya

A.

15.jawaban nya

c.

what type of triangle is ️abc as defined by its sides and angles


a. acute scalene
b. obtuse isosceles
c. right scalene
d. acute isosceles

Answers

Answer: d) acute isoceles

Step-by-step explanation:

it has 2 acute angles and it's isoceles because it has 2 sides of equal length

Answer:

d. acute isosceles

Step-by-step explanation:

ABC had two sides that are equal so it is an isosceles triangle

<B = 90-44 = 46

A and C must be equal

A + B + C = 180

A + 46 + B = 180

2A = 180- 46

2A = 134

A = 67  so C = 67

All angles are acute

Anthony save $1 from his first paycheck, $2 from his second paycheck, then $4,
$8, and so on. How much money did Anthony save from his tenth paycheck. *

Answers

Answer:24 dollars hope this helped

Step-by-step explanation:

3(q − 16) + –8 = –14

Answers

Answer:

q = 14

Step-by-step explanation:

3 (q - 16) + -8 = -14

3q - 48 + -8 = -14

3q - 56 = -14

    +56     +56

3q = 42

/3.      /3

q = 14

hope this helps :)

Elena wants to make a scale drawing of her apartment. Her apartment is a rectangle with length 18cm and width 10m. She decides on a scale of 1cm to 2m. What are the dimensions of the scale drawing of Elena's apartment, using a scale of 1cm to 2m. The answer should look like: __cm and__cm)

Answers

Answer:

9cm and 5cm

Step-by-step explanation:

 Note: The unit of the width in the question is suppose to be in cm

     "with length 18cm and width 10m"====>>> "with length 18m and width 10m"

so given that the dimension of the room is

18mx10m

This is a reduction process since we aim to transfer the dimension to paper

we are reducing the dimension by 2

and 1cm---2m

since 2m will represent 1cm

then the dimension will be

9cm and 5cm

Solve for y -x - 2y=8

Answers

Answer:y=4

Step-by-step explanation:

Substitute y=0
0-x-2 x 0= 8
-x-0=8
-x=8
Change the signs on both sides
X=-8

You have inherited a large collection of audio compact discs and decide to purchase a HiFi system to play them. At the retailer you find a choice of 4 CD players, 2 amplifiers and 3 sets of speakers. How many different HiFi systems are available to purchase from this retailer

Answers

Answer:

24

Step-by-step explanation:

Since at the retailer you find a choice of 4 CD players, 2 amplifiers and 3 sets of speakers. We have 4 different ways of selecting the CD players, we also have 2 different ways of selecting the amplifiers and 3 different ways of selecting the 3 sets of speakers.

So, the total number of different HiFi systems are available to purchase from this retailer is 4 × 3 × 2 = 24 .

So we have 24 different HiFi systems are available to purchase from this retailer

June has a savings account with an annual simple interest rate of 2.6%. She hopes to gain $6,500 in interest over a period of eleven years. To accomplish this, June invested $17,801 in the account, but later realized that this was not enough money. To the nearest dollar, how much more money should June have initially invested to reach her goal?

Answers

Answer:

Step-by-step  think she needs 2.73861528462

The amount of money invested in an account with simple interest at an annual rate of 2.6% would be $22,727.27.

What is simple interest?

Simple interest is a method of calculating the interest charge. Simple interest can be calculated as the product of principal amount, rate and time peroid.

Simple Interest = (Principal × Rate × Time) / 100

Given that June has a savings account with an annual simple interest rate of 2.6%. She hopes to gain $6,500 in interest over a period of eleven years.

Rate = 2.6 %

Therefore, Simple Interest = (Principal × Rate × Time) / 100

Simple Interest = P× 2.6% × 3

6,500  = P× 2.6/100 × 3

P = 22,727.27

Hence, the amount of money invested in an account with simple interest at an annual rate of 2.6% would be $22,727.27.

Learn more about simple interest here;

brainly.com/question/1548909

#SPJ1

A thief steals an ATM card and must randomly guess the correct three-digit pin code from a 7-key keypad. Repetition of digits is allowed. What is the probability of a correct guess on the first try? The number of possible code is__?? (Type an integer or fraction. Simplify your answer) The probability that the correct code is given in the first try is __?? (Type an integer or fraction. Simplify your answer.)

Answers

Answer:

1/343

Step-by-step explanation:

Given that:

Required pass code = 3 digit long

Digit or keypad option / length = 7

What is the probability of a correct guess on the first try? To obtain this,

Probability = required outcome / Total possible outcomes

The required outcome = correct guess; which is a single combination of the right digits = 1

Total possible outcomes = number of available combinations or the number of possible codes = (7^3) = 343

Hence,

P(right guess on first try) = required outcome / Total possible outcomes

= 1/343

What is the slope of the line???
PLEASE HELP!?

Answers

The slope of the line is 3

Which of the equations is graphed below?

A.) Y=X
B.) Y=2X
C.) Y=-2X
D.) Y=-X​

Answers

Answer:

y = -x

Step-by-step explanation:

it is negative slope so -x

The ratio of money in Terry's bank account to Faye's bank account was 3:7.
Terry then put £220 in his account and Faye withdrew £300 from her account.
They now had the same amount in their accounts.
How much did Terry initially have?

Answers

Answer:

£390

Step-by-step explanation:

 The ratio of money in bank:

        Terry  :    Faye

             3      :     7

Terry put £220 in his account

Faye withdrew £300 from her account

 Unknown:

Initial amount Terry had = ?

Solution:

 Let the real amount terry has = 3x

  Faye will have = 7x

Now;

        3x + 220  = 7x -300

 Solving this equation:

         3x + 220  = 7x -300

       3x - 7x = -300 - 220  

           -4x  = - 520

             4x = 520

               x = 130

Originally, Terry has 3x = 3 x 130 = £390


Convert to Standard Form
13-6x-y=0

Answers

I believe this is the answer 6x+y=13

What is the solution to the inequality 5.25 – b ≥ 6.5? A number line going from negative 5 to positive 5. A solid circle appears between negative 1 and negative 2. The number line is shaded from the circle to negative 5. A number line going from negative 5 to positive 5. An open circle appears between negative 1 and negative 2. The number line is shaded from the circle to negative 5. A number line going from negative 5 to positive 5. A solid circle appears between negative 1 and negative 2. The number line is shaded from the circle to positive 5. A number line going from negative 5 to positive 5. An open circle appears between negative 1 and negative 2. The number line is shaded from the circle to positive 5.

Answers

Given:

The inequality is

[tex]5.25-b\geq 6.5[/tex]

To find:

The solution of the given inequality on the number line.

Solution:

We have,

[tex]5.25-b\geq 6.5[/tex]

Subtract 5.25 from both sides.

[tex]5.25-b-5.25\geq 6.5-5.25[/tex]

[tex]-b\geq 1.25[/tex]

Multiply both sides by -1 and change the sign of inequality.

[tex]b\leq -1.25[/tex]

The value of b always less than or equal to -1.25. Since -1.25 included in the solution set, therefore there is a solid circle on -1.25.

-1.25 lies between -2 and -1. It means the solid circle lies between -1 and -2.

[tex]b\leq -1.25[/tex], so the number line is shaded from the circle to negative 5.

A number line going from negative 5 to positive 5 is the required solution if a solid circle appears between negative 1 and negative 2. The number line is shaded from the circle to negative 5.

Therefore, the correct option is A.

Answer:

the correct answer is option C

Step-by-step explanation:

I fixed my mistake from choosing option A

How many 1/3 inch pieces can be cut from 7/15 of an inch long

Answers

Answer:

1.4

Step-by-step explanation:

Claire and Richard are both artists. Claire uses the polynomial 50x^2+250 to decide how much to charge.Richard uses the polynomial 49x^2+350 to charge how much to charge for his painting.In each polynomial x is the height of the paintings feet. To the nearest tenth what height will both Claire and Richard charge for the same amount for a painting?

Answers

Answer:

The height of the painting has to be 10 feet for both Claire and Richard to charge the same amount.

Step-by-step explanation:

The polynomial expression representing the charge for Claire's paintings is:

C = 50x² + 250

The polynomial expression representing the charge for Richard's paintings is:

R = 49x² + 350

Here x represents the height of the paintings feet.

Now compute the value of x such that both Claire and Richard charge the same amount as follows:

C = R

50x² + 250 = 49x² + 350

50x² - 49x² = 350 - 250

x² = 100

x = 100

Thus, the height of the painting has to be 10 feet for both Claire and Richard to charge the same amount.

ben payed $900 for a sofa. The price of the sofa Juana was 2/3 the price ben payed. How much did Juana pay for her sofa?

Answers

Answer: $600

Step-by-step explanation:

Find 2/3 of $900.

To do this, we have to get 9 and divide by 3.

9 ÷ 3 = 3

Multiply 3 by 2. You get 6.

Add two zeros.

You will get $600.

please help am confused

Answers

Answer:

9%

Step-by-step explanation:

432 ÷ 6 = 72

8 = 1% of 800

8 x 9 = 72 = 9%

Step-by-step explanation:

I = P×r%×t

432 = 800 × r/100 × 6

432 = 4800 × r/100

[tex]r = \frac{432 \times 100}{4800} [/tex]

r = 9%

Write an expression for the operation described below.
subtract 6 from s

Answers

I think the expression would be 6-s.

* + 86
* + 106
Can you please help

Answers

Answer:x=20

Step-by-step explanation:

Answer:

I think is x=-20

I might have calculated wrong

b) Simplify 2-(3-a) = -4

Answers

Answer:

-1+a

Step-by-step explanation:

2-(3-a) = (2-3-(-a)) = -1+a  

Answer:

a=-3

Step-by-step explanation:

First off subtract 2 from both sides:

-(3-a)=-6

Then distribute the negative:

-3+a=-6

Finally add 3 to both sides:

a=-3

tadah!!

Hope that helps.

There are 420 grams of sodium in 3 cans of soup. Which equation finds the number of grams of sodium, s, in 1 can of soup? A 1s=34201 over s is equal to 3 over 420 B 3s=14203 over s is equal to 1 over 420 C s420=31s over 420 is equal to 3 over 1 D s1=3420s over 1 is equal to 3 over 420

Answers

Answer:

[tex]1\ can = 140g[/tex]

Step-by-step explanation:

Given

[tex]420 g = 3\ cans[/tex]

Required

Determine the number of grams in 1 can

[tex]420 g = 3\ cans[/tex]

Reorder

[tex]3\ cans = 420 g[/tex]

Divide both sides by 3

[tex]\frac{3\ cans}{3} = \frac{420 g}{3}[/tex]

[tex]1\ can = 140g[/tex]

Hence;

There are 140 grams in 1 can

1. Transform pentagon BEARS According to (x,y) → (x + 6, y + 8). Write the coordinates for
pentagon B'E'A'R'S' and sketch pentagon B'E'A'R'S' on the same coordinate plane

Answers

Answer:

2,1

Step-by-step explanation:

Box of 36 rubber bands he used 1/4 of the rubber bands in the box how many rubber bands did use



Pleas help

Answers

Answer:

He used 9 rubberbands.

pls give me brainliest if correct.

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

36 divided by 1 over 4 equals 9

9+9+9+9=36

1+1+1+1=36

-----------

4  4  4  4

sum please help me ASAP on both of themmm

Answers

Answer:

7.d

8.c

Step-by-step explanation:

I looked it up to make sure! Hope this helped!

?×3/4=-6
what does ? equal
please answer asap

Answers

Answer:

-8

Step-by-step explanation:

HELP!!!
This is a geometry question!
Please give reasoning with your answer!
I can and will mark a "real" answer brainliest!

Answers

Answer:

∠ Q = 75°

Step-by-step explanation:

Since PR and PQ are equal then the triangle is isosceles, thus

the base angles R andQ are congruent

The sum of the 3 angles in a triangle = 180°

Sum the 3 angles and equate to 180

x + 2x + 15 + 2x + 15 = 180, that is

5x + 30 = 180 ( subtract 30 from both sides )

5x = 150 ( divide both sides by 5 )

x = 30

Thus

∠ Q = 2x + 15 = 2(30) + 15 = 60 + 15 = 75°

Put a lid on it! The supplier is considering two changes to reduce to 1% the

percentage of its large-cup lids that are too small. One strategy is to adjust the

mean diameter of its lids. Another option is to alter the production process,

thereby decreasing the standard deviation of the lid diameters,

a. If the standard deviation remains at o = 0.02 inch, at what value should the

supplier set the mean diameter of its large-cup lids so that only 1% are too

small to fit?

b. If the mean diameter stays at = 3.98 inches, what value of the standard

deviation will result in only 1% of lids that are too small to fit?

c. Which of the two options in parts (a) and (b) do you think is preferable? Justify

your answer. (Be sure to consider the effect of these changes on the percent of

lids that are too large to fit.)

Answers

Answer:

A) 3.996 inches

B) 0.01

C) option B

Step-by-step explanation:

Note: The diameter of the lid is between : 3.95 and  4.05

A) calculate the supplier set mean diameter

std = 0.02 inch

P( x < 3.95 ) = 1% = 0.01

= P ( Z < [tex](\frac{3.95 - u }{0.02})[/tex] ) = P ( Z < -2.3263 ) = 0.01

therefore :

[tex](\frac{3.95 - u }{0.02})[/tex]  = -2.3263

hence : u = 3.996 inches ( mean diameter )

B) At mean diameter = 3.98 calculate the value of std

P ( X < 3.95 ) = 0.01

= P ( Z < [tex]( \frac{3.95-3.98 }{std } )[/tex] )  = P ( Z < -2.3263 ) = 0.01

therefore

[tex]( \frac{3.95-3.98 }{std } )[/tex] = -2.3263

hence std = 0.01 inch

C) option B is preferable because its mean diameter is smaller and  the percent of lids too large to fit is considered more carefully using option B

Solve absolute value of x-2=4

Answers

Answer:

6

Step-by-step explanation:

2+4=6

you need to do the oppsite opporation and that the answer for example x-2=4 just add 2 and 4 and thats the answer that is aslo the same rule as divsion and multiplecation sorry for spelleng mistakes hope this helps!!!!!!

The absolute value Is 6

stion 2
What is the value for y in the following expression
when x = 20
y= -2x + 8

Answers

See attachment for math work and answer.

The value of y= -32 when x= 20
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