Find the measure of the exterior angle.

Find The Measure Of The Exterior Angle.

Answers

Answer 1

Answer:

108 degrees

Step-by-step explanation:

From the diagram we are given

Interior angles are 2x + 1 and 63 degrees

Exterior angle = 5x -2

The sum of interior angles is equal to the exterior angle

2x + 1 + 63 = 5x - 2

2x + 64 = 5x - 2

2x - 5x = -2-64

-3x = -66

x = -66/-3

x = 22

Get the exterior angle:

Exterior angle = 5x-2

Exterior angle = 5(22) - 2

Exterior angle = 110-2

Exterior angle  = 108 degrees

Hence the measure of the exterior angle is 108 degrees


Related Questions


What is the value of x in the solution to this system of equations?

Answers

1) u just add one so it goes up by one
2)u just add two so it goes up by two
for example if x went from 5 10 15 20 u would add 5 because your going up by 5

PLEASE HELP! WILL MARK BRAINLIEST!!!!!! The grade student makes an attached varies directly with the amount of time the student spent studying. Suppose a student spends four hours studying make the grade of 65% on a test. what is an equation that relates grade earned on the test G with amount of time spent studying T in hours.

Answers

Answer:

plz give me BRAINLIEST answer

Step-by-step explanation:

For this case we observe that the time varies linearly with the obtained qualification.

The equation of the line can be obtained as follows

g-go = m (t-to)

where (go, to) are points that belong to the line.

To form the equation you need two points. These points are

(g1, t1) = (0,0)

(g2, t2) = (6.5.84)

Then, substituting, the equation of the line is

m = (84-0) / (6.5-0) = 84 / 6.5 = 12.923

g-0 = (12,923) * (t-0)

Rewriting.

g = 12.923t

The slope of the line is

m = 12,923

what is the interior and exterior angle of a regular quadrilateral​

Answers

Answer:

exterior: 90 degrees, interior: 360 degrees

Step-by-step explanation:

A ferris wheel can accommodate 75 people in 15 minutes. How many people
could ride the ferris wheel in 5 hours? What was that rate per hour?


PLEASE HELP!!!!

Answers

Answer:

Step-by-step explanation:

15 minutes = 1/4 hour

Therefore:

75 * 4 = the number of people riding in one hour

Thus:

the # of people riding in 1 hour * 4 = the # of people riding in 4 hours

1,500 people

300 people per hour is the rate

PLEASE ANSWER ASAP!! Simplify the expression (1/x^2 + 2/y)/(5/x - 6/y^2)

Answers

Answer:

y(y+2x²

------------

x (5y²-6x

Step-by-step explanation:

The expression obtained after simplification is written below.

What is an Expression?

An expression is a mathematical statement which consists of variables, constants and mathematical operators.

The expression is

[tex]\rm \dfrac{ \dfrac{1}{x^2} + \dfrac{2}{y}}{\dfrac{5}{x} - \dfrac{6}{y^2}}[/tex]

On simplifying by taking LCM

[tex]\rm = \dfrac{ \dfrac{ y +2x^2} {x^2y}}{\dfrac{5y^2 - yx}{xy^2}}[/tex]

[tex]\rm = \dfrac{ y ( y +2x^2)}{x ( 5y^2 - yx)}[/tex]

To know more about Expression

https://brainly.com/question/14083225

#SPJ5

what is 0.83 x 52 can someone show me how to get it

Answers

Answer:

= 43.16

Step-by-step explanation:

1. 83 x 52

2. = 4,316

3. There are 2 numbers after the decimal

4.  you add the decimal the number of times the decimal is away from the number before

Answer:

43.16

Step-by-step explanation:

Look at the attached image. We multiply 83 and 52. Once we get our answer, we move our decimal point two places to the left (since .83 has its decimal moved two places to the left).

A $450 washing machine is on sale for 15% off.
What is the discount?


What is the sale price?


What is the total price including the 7% sales tax
need help before next semester

Answers

Answer:

15/100 * 450 = 67.5 (discount)

450 - 67.5 = 382.5 (sale price)

7/100 * 382.5 = 26.775 (7% tax)

26.775 + 382.5 = 409.275 (final price)

Step-by-step explanation:

A hotdog stand sells hot dogs for 2.75 each and drinks for $1.50 each. Each person in a group of n people bought two hot dogs and one drink. Which equation gives y, the total cost in dollars

Answers

Answer:

The total cost in dollars, y = $7n.

Step-by-step explanation:

a) Data and Calculations:

Price of hot dogs = $2,75 each

Price of drinks = $1.50 each

Cost of hot dogs bought by one person = 2*2.75 = 5.5

Cost of drinks bought by one person = 1.50

Number of people in a group = n

y = total cost in dollars

y= n($5.5 + 1.50)

y = n * $7

y = $7n

b) Each person's purchase of hot dogs will cost $5.5 (2*2.75).  When the cost of hot dogs per person is added to the cost of drinks per person, we have $7 ($5.50 + 1.50).  This implies each person will consume hot dogs and drinks worth $7.  The total cost will then be $7 multiplied by n, the number of people ($7n).  

HELP ME PLS! Word Document.
What is 58% of 18?
Have to show your work!

Answers

Answer:

10.44

Step-by-step explanation:

To find 58% of 18, multiply 18 by 0.58

18(0.58)

= 10.44

So, 10.44 is 58% of 18

I need the simplified expression for this please ​

Answers

Not a hundred percent sure but this what I got

Answer:

9x-3

Step-by-step explanation:

3(2x-1)+3x

The first thing you would want to do is to distribute 3(2x-1) or in other words to get rid of the parenthesis.

3(2x-1) = 6x-3

The expression so far is : 6x-3+3x

Now you would add like terms which are the 6x and 3x = 9x

Expression now: 9x-3

The final answer is 9x-3.

If you are wondering why this is the answer because you can’t solve an (x) from a number because they are not like terms.

Hope this helps!

look at the geometry question and solve for X.

Answers

Answer:

The value of x = 24.4 units.

Step-by-step explanation:

Given

a = 14b = 20c = x

For a right-angled triangle with sides a and b, the hypotenuse  c is defined as

[tex]c=\sqrt{a^2+b^2}[/tex]

substituting c = x, a = 14 and b = 20

[tex]c=\sqrt{14^2+20^2}[/tex]

[tex]c=2\sqrt{149}[/tex]

[tex]c = 24.4[/tex] units

Therefore, the value of x = 24.4 units.

Can anyone help me with this

Answers

Answer:

B: 10n⁵ + 11n³ - 6

Step-by-step explanation:

(-3 + 3n⁵ + 6n³) + (7n⁵ + 5n³ - 3)

To add the variables, you can only combine the variables with the same degree.

Because you are adding the polynomials, you can remove the parentheses.

-3 + 3n⁵ + 6n³ + 7n⁵ + 5n³ - 3

Now you can combine the variables that are raised to the same degree.

(-3 - 3) + (3n⁵ + 7n⁵) + (6n³ + 5n³)

Now simplify within the parentheses.

(-6) + (10n⁵) + (11n³)

Now reorder the variables from greatest to least degree.

10n⁵ + 11n³ - 6

let f(x)=4x+1 and g(x)3x+k find value of k if fog(x)=gof(x)​

Answers

Answer:

[tex]\huge\boxed{k=\dfrac{2}{3}}[/tex]

Step-by-step explanation:

[tex]f(x)=4x+1\\\\g(x)=3x+k\\\\(f\circ g)(x)=f\bigg(g(x)\bigg)=4(3x+k)+1=(4)(3x)+(4)(k)+1=12x+4k+1\\\\(g\circ f)(x)=g\bigg(f(x)\bigg)=3(4x+1)+k=(3)(4x)+(3)(1)+k=12x+3+k\\\\(f\circ g)(x)=(g\circ f)(x)\iff12x+4k+1=12x+3+k\qquad|\text{cancel}\ 12x\\\\4k+1=3+k\qquad|\text{subtract 1 from both sides}\\\\4k=2+k\qquad|\text{subtract}\ k\ \text{from both sides}\\\\3k=2\qquad|\text{divide both sides by 3}\\\\k=\dfrac{2}{3}[/tex]

solve the question below

Answers

Answer:1212.08 ft

Step-by-step explanation:

Given

Height of Della=5.5 ft

Height of Tower H=1450

angle of elevation [tex]50^{\circ}[/tex]

Effective height of building for Della=1450-5.5=144.5 ft

From the figure we can write

[tex]\tan 50^{\circ}=\dfrac{1444.5}{x}\\x=\dfrac{1444.5}{\tan 50^{\circ}}\\x=1212.079\approx 1212.08\ ft[/tex]

Multiple choices
Help me to finish this​

Answers

Answer:

ADCBADBCCAB

Step-by-step explanation:

If you traveled 2,500 meters over the weekend, how many kilometers is that?

Answers

Answer:

25 kilometers

Step-by-step explanation:

Determine whether each quadrilateral is a parallelogram. Justify your answer. Yes/No? Reason... opposite side congruent, opposite angles congruent, opposite sides parallel, diagonals bisect each other, one pair of parallel and congruent sides, not enough information? (look at the image)

Answers

Answer:

Yes! The given quadrilateral represents Parallelogram.

Reason:  The given quadrilateral has opposite angles congruent.

Step-by-step explanation:

Given the quadrilateral with the angles

118°62°62°118°

We know that the sum of the angles of a quadrilateral is 360.

so

118°+62°+118°+62° = 360°

Thus, the given figure is indeed a quadrilateral.

Now in order to determine whether the given quadrilateral is a parallelogram or not, we need to check whether the opposite angles are congruent or not.

If the angles opposite of each other will have the same measurement, then the quadrilateral will represent Parallelogram.

It is clear that the given quadrilateral has two pairs of equal opposite angles.

i.e. The angle 118° has the same opposite angle 118° and the angle 62° has the same opposite angle 62°.

Therefore, the given quadrilateral represents Parallelogram.

Hence,

Yes! the given quadrilateral represents Parallelogram.

Reason: The given quadrilateral has opposite angles congruent.

what multiples to -64 and adds to -12

Answers

Answer:

Sum :-    -76   Product :-    768

Step-by-step explanation:

how do i answer this ?

Answers

Answer:

1

for each 2 inches you get 2 feet so its 2 to 2 divide that down and its 1 to 1

Step-by-step explanation:

solve this equation
3y-6/9 = 4-2y/-3

Answers

Answer:

y=2

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable. Hope this helps!

Answer:

y=2

Step-by-step explanation:

Multiply the numbers

3

Cancel terms that are in both the numerator and denominator

4

Combine multiplied terms into a single fraction

5

Multiply the numbers

6

Add

2

3

\frac{2}{3}

32​

to both sides of the equation

7

Simplify

8

Multiply all terms by the same value to eliminate fraction denominators

9

Simplify

10

Subtract

2

2y

2y

from both sides of the equation

11

Simplify

12

Divide both sides of the equation by the same term

13

Simplify

Solution y=2

E
Learning Task 2: Solve each proportion. Write your answer in your notebook
=
1) 5/12 = 35/n
2) n/52 = 180/ 120
3) 18/n = 21/28
4) n/4 = 24/6
5) 10/16 = n/56
11
PIVOT 4A CALABARZON Math G6​

Answers

Answer:

1) [tex]n = 84[/tex]

2) [tex]n = 78[/tex]

3) [tex]n = 24[/tex]

4) [tex]n = 16[/tex]

5) [tex]n = 35[/tex]

Step-by-step explanation:

To solve each proportion, we apply cross multiplication.

Question 1:

[tex]\frac{5}{12} = \frac{35}{n}[/tex]

[tex]5n = 35*12[/tex]

Simplifying both sides by 5

[tex]n = 7*12 = 84[/tex]

Question 2:

[tex]\frac{n}{52} = \frac{180}{120}[/tex]

[tex]120n = 52*180[/tex]

Simplifying both sides by 20

[tex]6n = 52*9[/tex]

Simplifying by 3

[tex]2n = 52*3[/tex]

Simplifying by 2

[tex]n = 26*3 = 78[/tex]

Question 3:

[tex]\frac{18}{n} = \frac{21}{28}[/tex]

[tex]21n = 18*28[/tex]

Simplifying both sides by 7

[tex]3n = 18*4[/tex]

Simplifying both sides by 3

[tex]n = 6*4 = 24[/tex]

Question 4:

[tex]\frac{n}{4} = \frac{24}{6}[/tex]

[tex]\frac{n}{4} = 4[/tex]

[tex]n = 16[/tex]

Question 5:

[tex]\frac{10}{16} = \frac{n}{56}[/tex]

[tex]16n = 56*10[/tex]

Simplifying by 2, both sides

[tex]8n = 56*5[/tex]

Simplifying by 8, both sides

[tex]n = 7*5 = 35[/tex]

The given expressions can be evaluated by using the arithmetic operations in order to find the value of 'n' in each case.

1) 5/12 = 35/n

Cross multiply in the above expression.

5n = 35 [tex]\times[/tex] 12

Further, simplify the above expression.

n = 84

2) n/52 = 180/120

Cross multiply in the above expression.

180n = 120 [tex]\times[/tex] 52

180n = 6240

Divide 180 by 6240 in the above expression.

n = 34.67

3) 18/n = 21/28

Cross multiply in the above expression.

18 [tex]\times[/tex] 28 = 21n

504 = 21n

Divide 504 by 21 in the above expression.

n = 24

4) n/4 = 24/6

Cross multiply in the above expression.

6n = 24 [tex]\times[/tex] 4

6n = 96

Divide 96 by 6 in the above expression.

n = 16

5) 10/16 = n/56

Cross multiply in the above expression.

10 [tex]\times[/tex] 56 = 16n

560 = 16n

Divide 560 by 16 in the above expression.

n = 35

For more information, refer to the link given below:

https://brainly.com/question/13101306

Which is the graph of the given function?
F(t)=4sin(3t)

Answers

Answer:

It's D or A

Step-by-step explanation:

Help! Marking Brainliest!

Answers

Step-by-step explanation:

By using the Pythagoras' Theorem,

Height of Kite

= √[(50m)² - (35m)²]

= 35.71m.

Answer:

wowwowowowowowowowow

On what interval(s) of x does f have positive concavity?


On what interval(s) of x does f have negative concavity?

Answers

Answer:

-5 that oneeksssoossdos

20 - (3 2/3 + 2 1/4 + 2 1/3) = ?

Answers

Answer:

20-5 11/12= 9 11/12

Step-by-step explanation:

we do (3 2/3 + 2 1/4+ 2 1/3 )which is

           3 8/12.    2 3/12    2 4/12 (common denominator)

then add 3 8/12 and 2 3/12 and 2 1/3 to get 10 1/12 then we get 20- 10 1/12 to get a final answer of 9 11/12

Can you please help me

Answers

Answer:

In ΔECD

<E = <C = <D

using angle sum property of triangle

<E + <C + <D = 180°

<E + <E + <E = 180° ( As <E = <C = <D )

3<E = 180

<E = 60°

NOW

<BCA + <ACE + <ECD = 180 (L. P. A.)

50° + <ACE + 60° =180

110 + <ACE = 180

<ACE = 70°

NOW as

AC = AE

So using property of triangle that angle opposite to equal sides are equal we get

<ACE = <AEC = 70°

In triangle ΔAEC

Now using Angle sum property of triangle

<ACE + <AEC + <CAE = 180°

70° + 70° + x = 180

140 + x = 180

x = 40°

Now in ΔABC

AB = AC

using property of triangle that angle opposite to equal sides are equal

So <ACB = <ABC = 50°

Now using angle sum property of triangle in ΔABC

<ACB + <ABC + <CAB = 180

50 + 50 + y = 180

100 + y = 180

y = 80°

so x = 40° and y = 80°

Mand Shane both started to work on a math problem and were comparing their work in math class. Are both of the representations correct? Explain, and finish the math problem correctly to Prive at the correct answer. METOD are Jesska's friend lent herss. tathm dydavau friend back 1 dollars Which rational number repre amb the worse change tothe amount of money esterende? Mariah started the problem as follows Shane barted the problem as followers -13) --5+1- .​

Answers

Answer:

13

Step-by-step explanation:

Evaluate 2xcubed if x= 3/4

Answers

9514 1404 393

Answer:

  27/32

Step-by-step explanation:

2x³ for x = 3/4 is ...

  2(3/4)³ = 2·3³/4³ = 2·27/64 = 27/32

A set of numbers having 4 in the unit place from 1 to 50​

Answers

Answer: {4, 14, 24, 34, 44}

Step-by-step explanation:

A general number can be written as:

aₙ*10ⁿ + ... + a₂*10² + a₁*10¹ + a₀*10⁰ + a₋₁*10⁻¹ ...

Where the a₁ coefficient is the "unit" of a number.

For example, the number 145.2 can be written in this form as:

1*10² + 4*10¹ + 5*10⁰ + 2*10⁻¹

Then the numbers having a 4 in the unit place, will be the numbers that have the digit 4 just at the left of the decimal point.

the set of natural numbers having 4 in the unit place, that also are between 1 and 50 are:

{4, 14, 24, 34, 44}

Write a multiplication expression that has the value -3/4

Answers

Answer:

-3/4 x 1

Step-by-step explanation:

anything times 1 is itself

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