find the value of x
PLS HELP

[tex]\huge\bold{To\:find:}[/tex]

✎ The value of [tex]x[/tex].

[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]

[tex]\sf\purple{The\:value\:of\:x\:is\:10°. }[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

Since it is right angle,

[tex]Sum \: of \: angles \: = 90° \\ ⇢ 2x °+ 7x° =90 ° \\ ⇢9x° = 90° \\ ⇢x° = \frac{90°}{9} \\ ⇢x° = 10°[/tex]

[tex]\sf\blue{Therefore,\:the\:value\:of\:x\:is\:10°.}[/tex]

[tex]\huge\bold{To\:verify :}[/tex]

[tex]2x° + 7x° = 90° \\ ➡ \: 2 \times 10° +7 \times 10° = 90° \\ ➡ \: 20° + 70° = 90° \\ ➡ \: 90° = 90° \\ ➡ \: L.H.S.=R. H. S[/tex]

Hence verified.

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.ඞ}}}}}∘[/tex]

Answer:

It diverges; it does not have a sum.

Step-by-step explanation:

3, 9, 27, 81, ..

ratio = r = 9/3 = 3

since |r| ≥ 1, it diverges and doesn't have a sum

The solution is, the given series is divergent and it has a sum infinity.

Option (A) is CORRECT. i.e. It diverges; it does not have a sum.

A geometric series is a series in which the division of any consecutive two terms will be the same.

here, we have,

We are given to check whether the following infinite geometric series diverge or converge :

given that,

3 + 9 + 27 +81 +....

We know that

an infinite geometric series diverges if the modulus of the common ratio is greater than 1.

For the given geometric series, the common ratio r is given by

r = 9/3

 = 3

So, we get

r = 3 > 1

Therefore, the given infinite geometric series diverges.

Also, we know that the sum of a divergent infinite geometric series with first term a and common ratio r is given by,

the sum will be infinity.

For the given series,

it does not have a sum.

Therefore, the required sum will be infinity.

Thus, the given series is divergent and it has a sum infinity.

Option (A) is CORRECT. i.e. It diverges; it does not have a sum.

For more about geometric series

brainly.com/question/4617980

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Step-by-step explanation:

Go to the Indian Brainly.

I am Indian.

Answer:

Bar graph

Step-by-step explanation:

is the right answer for mine

Answer:

x = 0.2

Step-by-step explanation:

Distribute the 5 to (2 + x) to make it 10 + 5x = 11. You can rewrite it to make it 5x + 10 = 11 to make it easier if you want but you dont have to. Subtract the ten from both sides to make it 5x = 1. Divide both sides by 5 to get 0.2. If you want to double check your answer you can substitute 0.2 in for x in (2 + x)5 = 11 or in 5x + 10 = 11. It doesn't matter which.

Answer:its A or C

Step-by-step explanation:i hope this helps

Given:

A vector from (-3.7,2) to (-4, -5).

To find:

An ordered pair that represents the vector

Solution:

If [tex](x_1,y_1)[/tex] is the initial point and [tex](x_2,y_2)[/tex] is the terminal point of a vector, then ordered pair that represents the vector is:

[tex](x_2-x_1,y_2-y_1)[/tex]

A vector from (-3.7,2) to (-4, -5). So, the ordered pair that represents the vector is:

[tex](x_2-x_1,y_2-y_1)=(-4-(-3.7),-5-2)[/tex]

[tex](x_2-x_1,y_2-y_1)=(-4+3.7,-7)[/tex]

[tex](x_2-x_1,y_2-y_1)=(-0.3,-7)[/tex]

Therefore, the correct option is b, i.e., (-0.3,-7).

Answer:

x = 12

Step-by-step explanation:

An exterior angle of a triangle is equal to the sum of its opposite interior angles in a triangle

∠CBV is an exterior angle and ∠BCD and ∠CDB are ∠CBV's opposite interior angles

This means that ∠BCD + ∠CDB = ∠CBV

If we are given that ∠CBV = 9x - 3, ∠BCD = 5x + 15 and ∠CDB = 30

Then 9x - 3 = 5x + 15 + 30

                    ^ (Note that we just created an equation we can use to solve

                        for x )

We then use the equation we created to solve for x

9x - 3 = 5x + 15 + 30

step 1 combine like terms

30 + 15 = 45

we now have 9x - 3  = 5x + 45

step 2 add 3 to each side

-3 + 3 cancels out

45 + 3 = 48

we now have 9x = 5x + 48

step 3 subtract 5x from each side

9x - 5x = 4x

5x - 5x cancels out

we now have 4x = 48

step 4 divide each side by 4

48 / 4 = 12

4x / 4 = x

we're left with x = 12

Answer:

30+5x+15=9x-3

9x-5x =45+3

4x=48

x =12

Answer:

52

Step-by-step explanation:

If JK bisects the angle, the two angles are equal

6x+2 = 8x-6

Subtract 6x from each side

6x-6x+2 = 8x-6x-6

2 = 2x-6

Add 6 to each side

2+6 =2x-6+6

8 =2x

Divide by 2

8/2 =2x/2

4 =x

Now find angle LJM, which is the sum of the two angles

6x+2 + 8x-6

14x -4

14*4-4

56-4

52

Answer:

D) 52

Step-by-step explanation:

since htere is an angle bisector that means that (6x+2) and (8x-6) are equal to each other

so

(6x+2)=(8x-6)

-6x         -6x

2=2x-6

+6    +6

8=2x

/2 /2

x=4

no you plug x back into one of the equations so

6(4)+2=26

now 26x2=52

The probability of 3 sunny days in a row is P = 0.512, so the correct option is C.

We know that the probability of rain each day is 20%. Then the probability of a sunny day is 100% - 20% = 80%.

Writing this probability in the decimal form we get 0.8.

Now, to get 3 sunny days in a row, we need to have the probability 0.8 3 times (and remember that the probabilities multiply between them) so the joint probability is:

[tex]P = (0.8)^3 = 0.512[/tex]

To get it in percentage form, we multiply it by 100%.

P = 0.512*100% = 51.2%

So the correct option is C.

If you want to learn more about probability:

https://brainly.com/question/25870256

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Answer:113

Step-by-step explanation:

Answer:

12 units2

Step-by-step explanation:

(6x4) /2 =12

Answer:

11/12 should be the correct answer!

Step-by-step explanation:

Let's make the denominator the same!

Lcm of 3 and 4 is 12

sooo... multiply

2/3 x 4/4 = 8/12

1/4 x 3/3 = 3/12

8/12 + 3/12 = 11/12

Answer:

a)   c)   d)    e)

Step-by-step explanation:

a) cross-products are equal; 24 = 24

c) cross-products are equal; 18 = 18

d) cross-products are equal; 30 = 30

e) cross-products are equal; 24 = 24

Answer:

A. 4/3 = 8/6 C. 3/2 = 9/6 D. 5/3 = 10/6 E. 4/2 = 12/6

P = 64 cm

2(( x + 14) + x) = 64

2x + 28 + 2x = 64

4x + 28 = 64

4x = 64 - 28

4x = 36

x = 36/4

x = 4

width = 4

lenight = 18

area = l x b

area = 18 x 4

area = 72

Answer:

38

Step-by-step explanation:

Complement means that the 2 angles add up to 90 so:

x + 52 = 90

x = 90 - 52

x = 38

Answer:

find AC and BC then check multiply their slopes

Answer:

sorry buddy i dont know the answer hope this helps

Step-by-step explanation:

Isn't this what u did to me when i needed help and took my points away.

Answer:

$1,140

Step-by-step explanation:

Step 1: Set up a fraction and solve (We are doing this to make it simpler to solve. So let us use "x" to represent how much he paid in taxes. )

[tex]\frac{30}{100}=\frac{x}{3680}[/tex]

Step 2: Solve; Divide the given values (The given values are 100 over 30. We are doing this because we need to know the difference between those two figures.) (Trick: For this case, all you need to do is cancel both zeros and the answer is 0.3 once divided)

[tex]\frac{30}{100}[/tex]

Cancel both zeros

[tex]\frac{30}{100}\\\\= \frac{3}{10}[/tex]

Divide

[tex]\frac{3}{10}\\\\= 3 \div 10\\\\= 0.3[/tex]

Step 3: Multiply the result to the last value (Since we've found the difference between them by division, we will have to do the opposite operation in order to find the answer.)

[tex]0.3\\\\0.3 \times 3680\\\\=1140[/tex]

Therefore, George paid 1140 dollars in taxes last summer.

Answer:

D/#4 represents a quadratic that is a perfect square trinominal. :-D

Answer:

y = 3x + 40

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 3 , then

y = 3x + c ← is the partial equation

To find c substitute (- 12, 4 ) into the partial equation

4 = - 36 + c ⇒ c = 4 + 36 = 40

y = 3x + 40 ← equation of line

Answer:  sorry i dont know this

Step-by-step explanation:

Answer:

heyy sorry i dont really know what is the 'standard deviation' but as for the mean you go to add all the numebers together and divide them by the amount of numbers there are (7 in this scenario)

Step-by-step explanation:

21 + 29.5 + 38 + 46.5 + 55 + 63.5 + 72 = 325.5

then you divide 325.5 by the number of numbers present in the question

325.5 / 7 = 46.5

hope it helped :)

I think it would be a and f :)

Answer:

The cost of the paint will be $123.75.

Step-by-step explanation:

Since Pranav paints a wall of area 53m ^ 2, and one liter of paint covers an area of 4.5m ^ 2, and paint is sold in 2.5 liter tins, each costing $ 24.75, if Pranav buys the least number of tins to paint this wall, to determine the cost of the paint, the following calculation must be performed:

(53 / 4.5) = liters of paint needed

11.77 = liters of paint needed

11.77 / 2.5 = tins of paint needed

4.71 = tins of paint needed (rounds to 5)

5 x 24.75 = Total cost

123.75 = Total cost

The cost of the paint will be $123.75.

Answer:

The answer is below

Step-by-step explanation:

Let B represent those that like badminton, F represent those that like football and V represent those that like volleyball. Let x represent the total number of people.

n(B) = (1/3)x, n(F) = (3/4)x, n(V) = (5/6)x

n(B∩F∩V) = 20% of x = 0.2x

n(B∩F) = 17, hence n(B∩F∩V') = 17 - 0.2x

n(V∩F) = 60, hence n(B'∩F∩V) = 60 - 0.2x

n(B∩V) = 65, hence n(B∩F'∩V) = 65 - 0.2x

n(B∪F∪V)' = 8

n(B∩F'∩V') = (1/3)x - 0.2x - (17 - 0.2x) - (65 - 0.2x) = 0.533x - 82

n(B'∩F∩V') = (3/4)x - 0.2x - (17 - 0.2x) - (60 - 0.2x) = 0.95x - 77

n(B'∩F'∩V) = (5/6)x - 0.2x - (60 - 0.2x) - (65 - 0.2x) = 1.033x - 125

Therefore:

x = n(B∩F'∩V') + n(B'∩F∩V') + n(B'∩F'∩V) + n(B∩F∩V) + n(B∩F∩V') + n(B'∩F∩V) + n(B∩F'∩V) + n(B∪F∪V)'

x = (0.533x - 82) + (0.95x - 77) + (1.033x - 125) + (0.2x) + (17 - 0.2x) + (60 - 0.2x) + (65 - 0.2x) + 8

x = 2.1166x - 134

1.1166x = 134

x = 120

Therefore there was 120 students

Answer:

t = -50/(2 * (-16))

Step-by-step explanation:

For quadratics of the form

y = ax^2 + bx + c

the x coordinate of the vertex is

x = -b / 2a

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

h = -16t^2 +50t + 8

a = -16

b = 50

t at Vertex

t = -50/(2 * (-16))

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

Explanation:

If the diameter is d = 18, then the radius is half that at r = d/2 = 18/2 = 9

Then that radius is plugged into the circle area formula below

A = pi*r^2

A = pi*9^2

A = pi*81

A = 81pi

If you were to use an approximation like pi = 3.14, then the approximate area would be 81*pi = 81*3.14 = 254.34 mm^2; however, your teacher wants you to write the exact area.

Answer:

4kg

Step-by-step explanation:

Mr Sharma packed 42 kg of tea into one big bag and sox small bags each of the same size

The first step is to calculate the quantity in the big bag

= 3/7 × 42

= 3×6

= 18

The amount left in the remaining bags is

= 42-18

= 24

Therefore the kg of tea in the small bags can be calculated as follows

= 24/6

= 4

Hence there are 4kg of tea in the small bags