Mathematics High School

Solve for the unknown angle measure θ.

A. θ=112.5
B. θ=120
C. θ=144
D. θ=150

Solve For The Unknown Angle Measure .A. =112.5B. =120C. =144D. =150

Answers

Answer 1
Solution:-

In the given polygon-

>>Two of the angles are of 90⁰

The sum of all angle in n-sided polygon is given by -

[tex]\green{ \underline { \boxed{ \sf{(n-2)\times180}}}}[/tex]

Here number of sides,n = 8

So ,the sum of all angle = [tex]\sf (8-2)\times 180[/tex]

[tex]\sf \implies 6 \times 180[/tex]

[tex]\sf \implies 1080 \degree[/tex]

>>Since two of the angles are of 90⁰ ,let's subtract them from total angle sum to get angles in term of [tex]\theta[/tex] only.

[tex]\implies \sf 1080- 2\times 90[/tex]

[tex]\implies \sf 1080- 180[/tex]

[tex]\implies \sf 900 \degree [/tex]

Now, Sum of remaining 6 angles = 6[tex]\theta[/tex]

Also, 6[tex]\theta[/tex] = 900⁰

[tex]\theta = \dfrac{900}{6}[/tex]

[tex]\theta = 150 \degree[/tex]

Answer 2

Answer:

heya ^^

let's first see what the question says -

so , we're given an octagon and the figure states that two of the angles of the octagon are of measure 90°.

while , rest of the angles have been named [tex] \bold{\theta }[/tex] and this thing clears that all the other angles are of equal measure.

now , angle sum property of octagon states that the sum of all the angles of an octagon equals 1080.

therefore ,

[tex]\bold{90 \degree + 90 \degree + \theta+ \theta+ \theta+ \theta+ \theta+ \theta = 1080 \degree }\\ \\ 180\degree + 6\theta = 1080\degree \\ \\ 6\theta = 1080\degree - 180\degree \\ \\ 6\theta = 900\degree \\ \\ \theta = \frac{900}{6} \\ \\ \underline\bold\pink{\: \theta = 150\degree}[/tex]

therefore ,

option ( D ) θ=150 is correct.

hope helpful :D

Related Questions

Robert bought a rope that is 28 yards long. He to cut
the rope into 18 inch pieces. How many 18 inch pieces
of rope will he have?

Answers

Answer:

The answer is 56. There would be 56, 18 inch pieces of rope.

Step-by-step explanation:

Give Brainliest if you would like :)

Canada had 12,968,000 visitors while Mexico had 9,807,000 visitors. How many combined visitors did they have?
A. 22,775 visitors
B. 21,775,000 visitors
C. 22,765,000 visitors
D. 22,775,000 visitors

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Answer: D

Step-by-step explanation: Add the two numbers

last time, TO ALL AMAZING MATHMATICIANS PLS HELP ASAP, please do not put links in I won't click them and I know they're not the correct answer. Please these are urgent and I know its kind of tedious but i need help. Thank you so much to the kind smart person who ends up answering this.

Answers

Answer:

I just answered these with your most recent post.

a group of five friends goes to the state fair. each friend pays the entrance fee and buys one booklet of ride tickets and a meal ticket. the entrance fee is d dollars. a booklet of ride tickets cost 2.5 times the entrance fee. a meal ticket costs $4 less than the entrance fee. the expression 5d + 5(2.5d) + 5(d-4) represents the amount the friends pay all together in dollars. which part of the expression represents the total amount the friends pay for meal tickets?

a. d-4
b. 5(2.5d)
c. 2.5d
d. 5(d-4)

Answers

Answer:

d. 5(d - 4)

Step-by-step explanation:

the entrance fee is d dollars

a booklet of ride tickets cost 2.5 times the entrance fee = 2.5d

a meal ticket costs $4 less than the entrance fee = d - 4

One meal ticket costs d - 4.

Five meal tickets cost 5(d - 4).

Answer: d. 5(d - 4)

Jessa has $23 that she wants to divide equally among her 5 children. How much money will each receive?​

Answers

Answer:

23 /5=4.6

4 3/5

4 6/10

Scrooge Mc duck has $16 in savings at the beginning of a month she then decides to save a dollars every week write an inequality in its simplest terms that represents the solution describing how many weeks it takes Scrooge to accumulate at least $120

Answers

Answer:

120 <= 16+(w*d)

108<=d*w

Step-by-step explanation:

let w = weeks and d = dollars saved per week

3. can you subtract a binomial from another binomial and end up with a monomial? explain.

b) can you add monomial and end up with a binomial? explain

Answers

Answer:

Yes

Step-by-step explanation:

Let's pick 2 bionomials for this proof.

(3x+4) and (2x-4)

If we subtract (2x-4) from (3x+4) we will be left with x to the first power, which is a monimal.

So yes, you can subtract a binomial from another binomial and get a monomial.

Hope this helps!

Dose anybody know how to solve this problem

Answers

check the transformation template below, hmmm so to get the graph of "y" move to the right by 1 unit, we can simply make C = -1.

[tex]y=\stackrel{A}{1}\log_2(\stackrel{B}{1}x+\stackrel{C}{0})+\stackrel{D}{0}\qquad \qquad y=\stackrel{A}{1}\log_2(\stackrel{B}{1}x+\stackrel{C}{1})+\stackrel{D}{0} \implies y=\log_2(x-1)[/tex]

now, the x-intercept is simply where the graph touches the x-axis, and when that happens y = 0, so

[tex]\begin{array}{llll} \textit{Logarithm Cancellation Rules} \\\\ log_a a^x = x\qquad \qquad a^{log_a x}=x\leftarrow \textit{let's use this rule} \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{y}{0}~~ = ~~\log_2(x-1)\implies 2^0=2^{\log_2(x-1)}\implies 2^0=x-1 \\\\\\ 1=x-1\implies 2=x~\hspace{10em}\stackrel{x-intercept}{(2~~,~~0)}[/tex]

____________________​

Answers

Answer:

The solution is 215/2

Step-by-step explanation:

2×21,5÷2/5

= 2×43/2×5/2

= 43/2×5

= 215/2

= 107 1/2

Write the number names 438543=
ii)80,100,001​

Answers

Answer:

Four lakhs thirty eight thousand five hundred fourty three.

ii)Eight crore ten lakhs one

Follow me friend

Answer:

i)four hundred thirty eight thousand five hundred forty three

ii) eighty million one hundred thousand one

I need Help Please, I will give brainliest!

Answers

Answer: You do I-ready welp I can help you

Step-by-step explanation:

I think it is 1 whole

Which exponential model best represents the data? O f(x) = 3(1.2) O f(x) = 2(0.3)* O f(x) = 2(3)* O f(x) = 3(0.2)*​

Answers

The exponential model has an initial value of 3

The exponential model of the data is f(x) = 3 * (1.2)^x

How to determine  the exponential model?

From the complete question,we have the following parameters:

Initial value, a = 3Growth rate, r = 0.2

The exponential model is then calculated as:

f(x) = a * (1 + r)^x

Substitute known values

f(x) = 3 * (1 + 0.2)^x

Evaluate the sum

f(x) = 3 * (1.2)^x

Hence, the exponential model of the data is f(x) = 3 * (1.2)^x

Read more about exponential models at:

https://brainly.com/question/7296382

Answer:

f(x)=3(0.2)^x

Step-by-step explanation:

When x=0

f(0)=3

When x =1

f(1)=0.6

3 x 1.2 =3.6,  3 x 0.2=0.6

So then I just chose f(x)=3(0.2)^x and I got it correct on the quiz :)

help me solve please show steps

Answers

There can be several possibilities and causes

y>2x-1

Then line will be dashed and solution region to be shaded.

y<2x-1

Same like before

y≤2x-1

Solid line should be done and shading the solution region

y≥2x-1

Same like before

y=2x-1

A straight line and no shading

Credit: Mister Brainly

There can be several possibilities and causes:

y>2x-1

Then line will be dashed and solution region to be shaded.

y<2x-1

Same like before

y≤2x-1

Solid line should be done and shading the solution region

y≥2x-1

Same like before

y=2x-1

A straight line and no shading

Ada got a new puppy for Christmas. She went to the pet store to buy the
things she needed for her puppy. She bought a collar for $18.37, an
identification tag for $15.67, a chew toy for $8.23, puppy shampoo for
$19.26, and a food and water dish for $21.28. The pet store gave her an
$7.50 discount for spending more than $50.00. How much did Ada spend
altogether?

Answers

Answer:

Hope it helps you.

father will fence a circular garden whose radius is 3.5m.How many meters of fencing material will he use

Answers

Radius=r=3.5m

Circumference:-

2πr2π(3.5)7π7(3.14)21.98m

He need 21.98m fencing material

Answer:

22 m

Step-by-step explanation:

Fencing refers to the border of the garden ⇒ circumferenceCircumference = 2πr and r = 3.5 m

Solving

C = 2 x 22/7 x 3.5C = 2 x 1/2 x 22C = 22 m

Can someone help me with this??

Answers

Answer:

36

Step-by-step explanation:

10+8+6+6+6

Area of the top rectange is 10 (2x5)

Area of the bottom rectange is 8 (2x4)

Area of the right rectangle is 6 (2x3)

Area of both the triangles are 6 (4x3 divided by 2)

PLEASE HELP
You will take a test containing two types of questions, multiple choice and free response. MC questions are worth 4 points each and free response are worth 7 points each. You must answer at least 4 of the MC and no more than 10 you must answer at least 3 FR questions, but no more than 10. Total, you may only answer 18 questions. How many type of each question must you answer to maximize your score.

Answers

Answer:

I think the answer is 16 to maximize the score

In a group of 42 students, 10 study both Art and Biology.
13 study Biology but not Art.
7 study neither subject.
Given that a randomly selected student studies Art, what is the probability the student studies Art and Biology?

Answers

given:

in a group of 42 students 10 students study both, 13 study only biology and 7 study neither of the subject.

to find:

the probability of the students who studies art and biology.

solution:

A= students study art

B= students study biology

N=42

n (ANB)= 10

n (A'NB)= 13

n (A'NB')= 7

the number of students who study only art:

n (ANB')= N- n(ANB) - n(A'NB) - n(A'NB')

= 42.10 - 13 - 7

= 12

the number of students who study only art:

= 16

p (ANB)= n (ANB)/N

= 10/40

= 0.238

probability the student who studies art and biology is 0.238.

what is the slope of y = 15x + 5

Answers

Answer:

15

Step-by-step explanation:

from equation y= mx+c

we can equate m (slope/gradient) to 15

Each grass square measures 1 foot by 1 foot. How much fence is needed to go around the garden?

Answers

Answer:

  42 feet

Step-by-step explanation:

The length of fence is equal to the perimeter of the shape. That can be found by adding the lengths of the edges.

__

Clockwise from the upper left corner, the sum of edge lengths is ...

  2 +6 + 3 + 6 + 2 + 7 + 1 + 1 + 5 + 1 + 1 + 7 . . . . feet

  = 8 + 9 + 9 + 2 + 6 + 8 . . . . added pairwise

  = 17 + 11 + 14

  = 28 + 14 = 42 . . . feet

42 feet of fence is needed to go around the garden

f g(x) = 2x + 2, find g(a + h) - g(a).

Answers

Answer: 2h

Step-by-step explanation:

How many angles are formed by intersecting roads? Number the angles

Answers

Answer:

there are about 8 angles ,God bless you

Answer:

I count 4 angles

Step-by-step explanation:

See the attached image.

Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)

Answers

Answer:

24 :)

Step-by-step explanation:

Pythagorean theorem: a^2 + b^2 = c^2

Lets solve!!

7^2 + b^2 = 25^2

49 + b^2 = 625

Now we subtract!!

625 - 49 = b^2

576 = b^2

Now we neeed to find the square root!!

[tex]\sqrt{576}[/tex] = 24

Have an amazing day!!

Please rate and mark brainliest!!

Steven and his family ordered a meal that cost $136.50. Steven paid 14% sales tax and left a 20% tip on $136.50. What was the total cost?

Answers

Answer:

$182.91

Step-by-step explanation:

136.50 times 0.14 (14%) is 19.11

136.50 times 0.2 (20%) is 27.30

13650+19.11+27.30=182.91

Aline passes through the points (3,18) and (8,23). Write a linear function rule in terms of x and y for
this line.
The linear function rule is y=

Answers

Answer:

y= x+15

Step-by-step explanation:

I am pretty sure this answer is right

M= slope

B= the Y-intercept

I used a graphing calculator to figure this out

The slope is 1/1 with equals 1

and the y intercept is at (0,15) whitch we just use 15

plug them in and you get

y= x+ 15

(Don't need the 1 is frount of x)

65%of 320+?=686
Options are:
a) 480
b) 452
c) 461
d) 475
e) none of these​

Answers

Answer:

e) none of these​

Explanation:

65% * 320 + ? = 686

208 + ? = 686

? = 686 - 208

? = 478

Answer:

e) None of these.

Step-by-step explanation:

Let the unknown number be x, then:

0.65*320 + x = 686

208 + x = 686

x = 686 - 208

= 478

factor each completely

n^2 - 11n + 10

Answers

[tex] {n}^{2} - 11n + 10 = [/tex]

[tex](n - 1)(n - 10)[/tex]

.................................................

Use the relationship between the angles in the figure to answer the question.

Which equation can be used to find the value of x?

Answers

Given↷Two angles ,'52°' & ,'x'To find↷The value of 'x'Answer↷52°Solution↷

We know that,

two angles which are formed by the intersection of two lines ,are equal and are called vertically opposite angles.

ATQ,

angle x lies on a line same as the other given angle which is intersected by an another line ,

hence,

x = 52°

A windowpane is 12 inches by 5 inches. What is the distance between opposite corners
of the windowpane? ( it’s the pythagorean theorem )

Answers

12^2+5^2=144+25=169
x=13

What is the volume of the right prism

A. 1275
B. 600
C. 1020
D. 680

Answers

Answer:

B

Step-by-step explanation:

The face of the prism is the right triangle closest to us.

The area of the right triangle is 15 * 8 = 120 / 2 = 60 The general formula for a triangle's area is 1/2 * B * h.

B = 8

h = 15

The volume in general is B*h.

The height in this case is 10 (the height in this case is perpendicular to the surface containing the right triangle).

Volume = B * h

Volume =60 * 10

Volume = 600

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