Please answer soon (40 Points)

Answer:

magnitude of PÔS = 60°

magnitude of SÔQ = 120°

note: a straight line has always 180°

solve for x:

m∠POS

m∠SOQ

So to find angle POS and SOQ we have to find value of x first.

[tex] \\ [/tex]

[tex] \rm \angle POS + \angle SOR + \angle ROQ = 180 \degree \\ [/tex]

Reason:-

Sum of angles on same line.

By the way it can be any number of angles but they should meet at same point. And their sum is always 180°. Remember linear pair? It is also same aspect but there will be only two angles.

[tex] \\ [/tex]

So:-

[tex] \\ [/tex]

[tex] \dashrightarrow \sf \angle POS + \angle SOR + \angle ROQ = 180 \degree \\ [/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \sf 3x + 2x+ 80= 180 \degree \\ [/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \sf 5x+ 80= 180 \degree \\ [/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \sf 5x= 180 - 80 \degree \\ [/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \sf 5x= 100 \degree \\ [/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \sf x= \dfrac{100}{5} \degree \\ [/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \sf x= \dfrac{5 \times 20}{5} \degree \\ [/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \sf x= \dfrac{\cancel5 \times 20}{\cancel5} \degree \\ [/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \sf x= \dfrac{1 \times 20}{1} \degree \\ [/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \bf x=20\degree \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \sf 3x + 2x+ 80= 180 \degree \\ [/tex]

Put value of x

[tex] \\ [/tex]

[tex] \dashrightarrow \sf( 3 \times 20) + (2 \times 20)+ 80= 180 \degree \\ [/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \sf60 + (2 \times 20)+ 80= 180 \degree \\ [/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \sf60 + 40+ 80= 180 \degree \\ [/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \sf100+ 80= 180 \degree \\ [/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \bf180= 180 \degree \\ [/tex]

LHS = RHS

HENCE VERIFIED!

[tex] \\ [/tex]

Answer:

[tex] \frac{2}{5} = \frac{6}{15} = \frac{12}{45} [/tex]

Answer:

[tex]\sf \sqrt[3]{27*27*27}[/tex] = 27

solving steps:

note:  

Answer:

315

Step-by-step explanation:

You're welcome
Answer above is rounded btw

Full number is:315.24444

Answer:

(x+3)^3 positive shift 1st then cube it

Answer:

(x - 8)(x + 3)

Step-by-step explanation:

x² - 5x - 24

Consider the factors of - 24 which sum to give the coefficient of the x- term (- 5)

The factors are - 8 and + 3 , since

- 8 × + 3 = - 24 and - 8 + 3 = - 5

Use these factors to split the x- term

x² - 8x + 3x - 24 ( factor the first/second and third/fourth terms )

= x(x - 8) + 3(x - 8) ← factor out (x - 8) from each term

= (x - 8)(x + 3) ← in factored form

Answer:

this are the answers

Step-by-step explanation:

The trigonometric value identity is solved (cos x/1 + sin x) = sec x - tan x

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

To verify the identity (cos x / (1 + sin x)) = sec x - tan x, we need to simplify the right-hand side of the equation using trigonometric identities and see if it matches the left-hand side.

sec x - tan x = 1/cos x - sin x/cos x = (1 - sin x)/cos x

On simplifying , we get

cos x / (1 + sin x) = cos x / (1 + sin x) * (1 - sin x)/(1 - sin x) = cos x * (1 - sin x) / (1 - sin²x)

Using the Pythagorean identity sin²x + cos² x = 1, we can substitute 1 - cos²x for sin²x in the denominator:

So , cos x / (1 + sin x) = cos x ( 1 + sin x ) / cos²x

On further simplification , we get

cos x / (1 + sin x) = cos x / cos²x + cos x ( sin x ) / cos²x

cos x / (1 + sin x) = ( 1/cos x ) + ( sin x / cos x )

From the trigonometric relations , we get

cos x / (1 + sin x) = sec x - tan x

Hence , the trigonometric equation is solved

To learn more about trigonometric relations click :

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#SPJ2

Answer:

$8.99

Step-by-step explanation:

$38.95- $11.98 = $26.97
$26.97 / 3 pizzas = $8.99

Answer:

Amelia has more she has 1/2 and Alex has 1/3

Answer:

u get raised money subtract sold and da answer u get divide wiz raised one and multiply by 100%

Answer:

76

Step-by-step explanation:

Let x = number of pages

Since Charmaine had 16 pages left, subtract 16 from x to indicate that is the number of pages read like this: x - 16

Divide that by 3 like this: (x - 16)/3

Do the same for Bernice: (x - 36)/2

Make them equal to each other

(x - 16)/3 = (x - 36)/2

Cross multiply

2(x - 16) = 3(x - 36)

Distribute

2x - 32 = 3x - 108

Move like terms to the same side by subtracting 2x from both sides

2x - 32 = 3x - 108

- 2x         - 2x

-32 = x - 108

Add 108 to both sides

-32 = x - 108

+ 108    + 108

x = 76

This means there are 76 pages in the book.

Answer: Your answer is -11/21 or -0.523809

Hope this helps!

Answer:

this is so confusing

Step-by-step explanation:

because it cofused

Answer:

40 x 28 x 36 = 40,320. Hope this helped

Answer: Associative property of multiplication as it is showing that the value does not change although you move the parentheses.

Step-by-step explanation:

Answer:

Reflection and then translation

Step-by-step explanation:

It is a reflection because it flips across and then a translation because it moves down. I hope this helps you.

Answer:

Reflection then translation.

Hope this helps!

Answer:D.51

Step-by-step explanation:180-68-61=51

Answer:

68+61+X=180°

129+X=180°

X=180°-129

X=51°

Answer:

{ 14, 30, 33 }

Step-by-step explanation:

for the three sides to form a triangle.

The sum of any 2 sides > third side

{ 7, 22, 29 }

7 + 22 = 29 ← not greater than 3rd side, thus not form a triangle

{5, 7, 12 }

5 + 7 = 12 ← not greater than 3rd side, thus not a triangle

{ 8, 14, 24 }

8 + 14 = 22 < 24 ← sides do not form a triangle

{ 14, 20, 33 }

14 + 20 = 34 > 33

14 + 33 = 47 > 20

20 + 33 = 53 > 14

Thus the sides form a triangle

Answer:

1/3

Step-by-step explanation:

2/5 times 1/3 equals 1/3

Answer:

x= -1

Step-by-step explanation:

1x+4=3x+6

x+4=3x+6

x+4-4=3x+6-4

x=3x+6-4

x=3x+2

x-3x=3x+2-3x

-2x=2

-2x=2

-2/-2=2/-2

x= -1

Answer: See below

Step-by-step explanation:

a) For call duration of 100min. Plan A costs less as we can see from the graph.

Plan A = $12 and Plan B = $18 So, it costs $6 less

b) For call minutes of 250 both plans cost the same.

After this point Plan A becomes costlier

Answer:

radius r = 240 in

diameter d = 480 in

circumference C = 1507.96447 in

area A = 180955.737 in2, so 1507 should be your answer.

Answer:

84 (nearest whole number)

Step-by-step explanation:

If x = 10,

Longest leg = (7 x 10) + 4 = 74

Shortest leg = 4 x 10 = 40

Using Pythagoras' Theorem a² + b² = c² (where a and b are the legs and c is the hypotenuse of a right triangle):

⇒ 74² + 40² = c²

⇒ 7076 = c²

⇒ c = √7076 = 84.11896...

⇒ hypotenuse = 84 (nearest whole number)

Answer:

84

Step-by-step explanation:

[tex] \sqrt{ {(40)}^{2} + {74}^{2} } = 84.1[/tex]

Answer:

16 / 3 = 5.33333....

Step-by-step explanation:

its the accurate answer

pls brainliest

Answer:

Answer is x = -7/6

Step-by-step explanation:

please look at the image

Answer:

810000 is your answer

Step-by-step explanation:

9x9=81 and the 4 0's

For the two parallelogram to be congruent, their corresponding sides must be equal

Two figures are said to be congruent if they are of the same shape and their corresponding sides and angles are congruent to each other. The SSS congruency theorem states that two figures are congruent of all their sides are congruent.

For the two parallelogram to be congruent, their corresponding sides must be equal

Find out more on similar figures at: https://brainly.com/question/26173060

Answer: CPCTC

Step-by-step explanation:

edge 23

Answer:

The Pythagorean theorem just talks about the connection  between the lengths of the sides of right triangles. Something like that i guess

Step-by-step explanation:

Answer:

The perimeter is 32

Step-by-step explanation:

Area of square= a²

square root of 64= 8

Perimeter= 4x the square root

8x4=32