What is the area of the triangle in the diagram?

We know that the interior angle sum of a polygon is (n − 2) × 180°, where n is the number of sides.

Here, number of sides (n) = 12

So, interior angle sum = (n − 2) × 180°

=> interior angle sum = (12 - 2) × 180°

=> interior angle sum = 10 × 180°

=> interior angle sum = 1800°

So, the interior angle sum of this polygon is 1800°.

Answer:

[tex]7.2b+6.5>4.8b-8.1[/tex]

Multiply both sides by 10

[tex]72b+65>48b-81[/tex]

Subtract both sides by 65

[tex]72b>48b-146[/tex]

Subtract both sides by 48b

[tex]24b>-146[/tex]

Divide both sides by 24

[tex]b>-\frac{73}{12}[/tex]

OAmalOHopeO

Answer: -170

Concept:

When encountering questions that require multiple steps of the calculation, it is suggested to follow the PEMDAS.

Solve:

**Disclaimer** I assume that it is supposed to be (25 + 45). If it was, then you may refer to my answer. If the ")" after 45 is just a typo, you may point it out and I will redo it.

Given expression

 13 + {16 + 2 - [(25 + 45) × 3] + 9}

Do the parenthesis of the inner most

=13 + {16 + 2 - [70 × 3] + 9}

=13 + {16 + 2 - 210 + 9}

Do addition first, then subtraction

=13 + {18 - 210 + 9}

=13 + {27 - 210}

=13 - 183

=-170

Hope this helps!! :)

Please let me know if you have any questions

Answer:

7/12

Step-by-step explanation:

3*4=12. 4/12+3/12=7/12.

Answer:

5/12

Step-by-step explanation:

you find the common factor of 12, divide 12 by the denominator, multiply the numerator by that, add the new numerators, put it on the denominator of 12, subtract it from 12/12

Answer:

Step-by-step explanation:

Answer:

8.5 km

Step-by-step explanation:

The distance is given by sqrt(8^2+3^2)=sqrt(64+9)=sqrt(73)=8.5 km

Answer:

8(h)=96

Step-by-step explanation:

Remember when you are writing a multiplication equation, it's a division backwards.

96/8=h

h×8=96

hope this helps you

goodluck

Answer: 8x=96

Step-by-step explanation:

8X = 96

X = 96/8

X = 12 hours

Answer:

6AJNSDJN

Step-by-step explanation:

Answer:

Deandra completed the first 6 problems at a rate of 3 problems per hour and the last 12 at a rate of 4 problems per hour.

Step-by-step explanation:

6 problems ÷ 2 hours = 3 problems per hour

12 problems ÷ 3 hours = 4 problems per hour

Answer B is the answer

Answer:

Step-by-step explanation:

Let y is the required number.

a/c to question,

y² + greatest three digit prime number + smallest two digit prime number = 32²

we know, greatest three digit prime number = 997

smallest two digit prime number = 11

now, y² + 997 + 11 = 32²

or, y² + 1008 = 1024

or, y² = 1024 - 1008

or, y² = 16

or, y = 4

hence, required number number is one digit even number e.g., y = 4

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

g(x) = 3·sin(x + π/2) - 4

Step-by-step explanation:

The given (general form of a) sin function is g(x) = A·sin(x + C) + D

Where;

A = The amplitude (the vertical stretch) = 3

C = The phase shift, left = π/2

D = The vertical shift = 4 units down = -4

Therefore, given that in the parent function, we have f(x) = sin(x), by substituting the values of A, C, and D to complete the equation modeling the function g, we get;

g(x) = 3·sin(x + π/2) - 4

Answer:

9b /a^5/2

Step-by-step explanation:

9√(a^-5 b^2)

9 sqrt( a^ -5 b^2)

Rewriting sqrt as ^1/2

9 ( a^ -5 b^2)^1/2

9 ( a^ -5) ^1/2 ( b^2)^1/2

we know that  an exponent to an exponent means multiply

9 a^ (-5*1/2)  b^(2*1/2)

9 a^-5/2 b^1

9b a^ -5/2

We know that x^-y = 1/x^y

9b /a^5/2

Answer:

[tex]\frac{9b}{a^{2} }[/tex][tex]\sqrt{\frac{1}{a} }[/tex] should be the answer of the problem that you posted

if you try to solve using [tex]\sqrt{x}[/tex]    as as [tex]x^{\frac{1}{2} }[/tex]

then [tex](a^{-5)} ^{\frac{1}{2} } \\[/tex] =  [tex](a^{-5/2)}[/tex] = [tex]\frac{1}{a^{\frac{5}{2} } }[/tex]

[tex]\frac{1}{a^{\frac{5}{2} } }[/tex] * 9b = [tex]\frac{9b}{a^{\frac{5}{2 } } }[/tex]

Step-by-step explanation:

[tex]9 \sqrt{(a^-5 b^2)}[/tex]

[tex]x^{-1} = \frac{1}{x}[/tex]

[tex]a^{-5} = \frac{1}{a^{5} }[/tex]

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

[tex]a^{4}[/tex] a's can be removed from the radicle (one will be left in because you have a^5)

[tex]\frac{9b}{a^{2} }[/tex][tex]\sqrt{\frac{1}{a} }[/tex]

Answers:

[tex]a = 18\sqrt{2}[/tex]

[tex]b = 18[/tex]

==============================================================

Explanation:

For any 45-45-90 triangle, the two legs are the same length. We consider triangles like this to be isosceles. So we have b = 18 as the vertical leg because the horizontal leg is also 18 units long.

The hypotenuse of these types of triangles is always [tex]\sqrt{2}[/tex] times longer compared to the leg length. So the hypotenuse is [tex]a = 18\sqrt{2}[/tex]

As an alternative, you can use the pythagorean theorem to find the hypotenuse.

Answer:

E

Step-by-step explanation:

(leg of big triangle)² = (part of hypotenuse below it) × (whole hypotenuse)

15² = x × 20

225 = 20x ( divide both sides by 20 )

[tex]\frac{225}{20}[/tex] = x , that is

x = [tex]\frac{45}{4}[/tex] → E

The value of the x in the given triangle is 45/4.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.

Given is right triangle ABC, divided into two more right triangles, ADC and ADB, also, triangle ABD ~ triangle CAD.

Therefore, according to the definition of similar triangles, the corresponding sides are in proportion.

we have,

CA / CB = CD / CA

15/20 = x/15

x = 15²/20

x = 225/20

x = 45/4

Hence, the value of the x in the given triangle is 45/4.

Learn more about similar triangles click;

https://brainly.com/question/14926756

#SPJ7

Answer:

The answer is below

Step-by-step explanation:

The general form of a line is given by:

Ax + By + C = 0

The slope intercept form of a line is give by:

y = mx + b;

where m is the slope and b is the y intercept

Given a line with equation Ax + By + C = 0; the slope of the line can be gotten by representing in slope intercept form, hence it becomes:

By = -Ax - C

y = (-A/B)x - C/B

The slope is -A/B

For a line with equation Bx - Ay + C = 0:

Ay = Bx + C

y = (B/A)x + C/A

the slope is B/A

Two lines are said to be perpendicular if the product of the slopes is -1. Hence:

-A/B * B/A = -1; hence the two lines are perpendicular

Answer:

4/8= 2/4=1/2= 50%

Step-by-step explanation:

4 out of the 8 new cars have a fuel efficiency of less than 27 mpg. that is is 50%

Answer:

1/4

Step-by-step explanation:

2/5 divided by 8/5 is the same as 2/5 * 5/8. we cross out the same 5's to get 2/8. We simplify that to 1/4.

1/4 is our answer.

Answer:

Equivaldría a 45.9 litros de leche de vaca.

Step-by-step explanation:

Esta pregunta se resuelve por proporciones, usando una regla de tres.

Un litro de leche de búfala equivale a 1.7 litros de leche de vaca.

27 litros de leche de buffalo - x litros de leche de cava

1 - 1.7

Aplicando multiplicación cruzada :

[tex]x = 27*1.7 = 45.9[/tex]

Equivaldría a 45.9 litros de leche de vaca.

Answer:

120

Step-by-step explanation:

Since the figures are similar the angles are the same

<A = <F

<B = <E

<C = <C

<D = <G

We know <G = 120 so angle D = 120

W = <D = 120

Answer:

w = 120 degrees

Step-by-step explanation:

ABCD and FECG are the same shapes, which means they also have the same angles.

∠A = ∠F

∠B = ∠E

∠C = ∠C

∠D = ∠G

∠G = 120°, so D = 120°

So, w = 120°

Answer:

1/9

Step-by-step explanation:

Answer:

huh?

Step-by-step explanation:

Answer:

my x is ;

x= -0.6205

this is because for the first equation to be equal to the second equation we need to multiply the second equation with 20

Q) -1 + 5 - (-6) - 5 = ?

→ -1 + 5 + 6 - 5

→ {-1 + 5} + {6 - 5}

→ 4 + 1

→ 5 is the solution.

Answer:

The complete predicate is the following: "is going to a football game tomorrow."

Step-by-step explanation:

A sentence is spit into two main parts, the subject and the predicate. The subject is what the sentence is about and it typically occurs before the verb. Everything before the verb in this case would be the complete subject. What is left is the complete predicate. The complete predicate includes the verb and everything after it until the end of the sentence.

Answer:

The complete predicate is the following: "is going to a football game tomorrow."

Step-by-step explanation:

A sentence is spit into two main parts, the subject and the predicate. The subject is what the sentence is about and it typically occurs before the verb. Everything before the verb in this case would be the complete subject. What is left is the complete predicate. The complete predicate includes the verb and everything after it until the end of the sentence.

Answer:

1. Mean, because there are no outliers that affect the center

Step-by-step explanation:

Second period: 3,2,3,1,3, 4, 2, 4, 3, 1, 0, 2, 3, 1, 2

Sorted values : 0, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4

The mean = ΣX / n

n = sample size, n = 15

Mean = 34 / 15 = 2.666

The median = 1/2(n+1)th term.

1/2(16)th term = 8th term.

The 8th term = 2

The best measure of centre is the mean because the values for the second period has no outliers that might have affected the centre of the distribution.

Both interquartile range and standard deviation are measures of spread and not measures of centre.

Answer:

17

Step-by-step explanation:

8+4+5=17

Answer:

7

Step-by-step explanation:

(+8)-(-4)+(-5)

=8+4-5

=12-5

=7

Answer:

1

-----

(t+4)^2

Step-by-step explanation:

(t+3)

------- ÷ (t^2+7t+12)

(t+4)

Copy dot flip

(t+3)         1

------- * --------------------

(t+4)      (t^2+7t+12)

Factor

(t+3)         1

------- * --------------------

(t+4)      (t+4)(t+3)

Cancel

1         1

------- * --------------------

(t+4)      (t+4)

1

-----

(t+4)^2

Answer:

answer is b

Step-by-step explanation:

Answer:

x=1

Step-by-step explanation:

3x+9 = 12

Subtract 9 from each side

3x+9-9=12-9

3x = 3

Divide by 3

3x/3 = 3/3

x=1

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]x = 1[/tex]

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Calculating the answer...}}\\\\3x + 9 = 12\\-------------\\\rightarrow 3x + 9 - 9 = 12 - 9\\\\\rightarrow 3x = 3\\\\\rightarrow \frac{3x=3}{3}\\\\\rightarrow \boxed{x=1}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

Download gauthmath it will help

Jesus loves u

Answer:

G = 140

Step-by-step explanation:

Linear pairs add to 180

H+G = 180

40+G = 180

G = 180-40

G = 140