If Lines M And N Are Parallel, And The Measure Of Angle 1 Is 130, What Is The Measure Of Angle 8? (2023)

Answer:

40% are boys

900 are girls.

To get the total number of boys, that will be number of boys, divided by hundred multiply by total number of girls

i.e 40÷100 * 900= 360, we have 360 boys, to know the number of student add 900 to the number of boys which gives you 1,260.

the total number of students in the school is 1,260

Answer:

d

Step-by-step explanation:

1+1=2

2+2=4

4+3=7

7+4=11

11+5=16

you just add the number by 1-20 and you'll hey the pattern

It cost $5 for his brother's ticket.

Step-by-step explanation:

Let,

Micheal's ticket price= x

His brother ticket price = y

According to given statement;

x+y=12 Eqn 1

y = x-2 Eqn 2

Putting value of y from Eqn 2 in Eqn 1

Dividing both sides by 2;

Putting x=7 in Eqn 2

It cost $5 for his brother's ticket.

Keywords: linear equation, substitution method

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Answer:

True

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

Answer:

x = 3.576 and x = - 3.076

Step-by-step explanation:

Two functions are given to be, g(x) = 2x² + 3x + 10 and k(x) = 2x + 16.

Now, we have to solve the equation g(x) = 2k(x)

⇒ 2x² + 3x + 10 = 4x + 32

⇒2x² - x - 22 = 0

The expression in the left hand side can not be factorized and therefore we have to use Sridhar Acharya formula which gives the solutions of the equation in the form ax² + bx + c = 0 are given by

and

Therefore, the solutions of the given equation are

and (Answer)

Answer:

It’s a

Step-by-step explanation:

Answer:

The are infinite

Step-by-step explanation:

some are 1,-1

2,-2

3,-3

10000,-10000

Answer:

-311

Step-by-step explanation:

Using PEMDAS:

first add (-378 + 3) --> -375

then multiply 8 and 8 --> 64

then add 64 and -375

this equals -311

Hope this helped!!

Answer:

45

Step-by-step explanation:

(6 + 3i)(6 − 3i) =6 (6 − 3i)+ 3i(6 − 3i)

= 36 -18i +18i-9

if

36 -18i +18i-9 = 36-9(-1)

=36+9

=45

=36-9i^2

=6^2 - (3i)^2

Answer:

Step-by-step explanation:

Extended Information on the Complex Number System

I am joyous to assist you anytime.

The radian measures of the given degree measures are 3π / 4 Rad, π Rad, 3π / 2 Rad and 2π

What is radian measures?

One radian is the measure of a central angle subtended by an arc that is equal in length to the radius of the circle. When no symbol is used, radians are assumed. When degrees are the unit of angular measure, the symbol "°" is written. Note that the radian is a derived unit in the International System of Units (SI).

Given are some degree measurements, 135° 180° 270° 360°, we need to convert them into radians.

Since, we know that,

1 Rad = 1 Deg × π / 180

Therefore,

1) 135° = 135 × π / 180

= 3π / 4 Rad

2) 180° = 180 × π / 180

= π Rad

3) 270° = 270 × π / 180

= 3π / 2 Rad

4) 360° = 360 × π / 180

= 2π

Hence, the radian measures are 3π / 4 Rad, π Rad, 3π / 2 Rad and 2π

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Because of the answers that you gave I'm going to assume the radians were 3pi/4. That would be A, 135 degrees.

If this is the wrong amount of radians please let me know.

Value of ring after four years with appreciation of 4 % each year is 4445.46

Solution:

Given that

Tom bought his fiancée Marie a 3800 diamond engagement ring

Marie discovers that the value of the ring appreciates 4% each year

Need to determine value of ring after four years

Initial value of the ring = 3800

Appreciation of 4% in value means 4% increase

After 1 years , value increases by 4% which means

Value after 1 year = Initial value of the ring + 4% of Initial value of the ring

After 2 years, value increases by 4% of Value after 1 year which means

Value after 2 years = Value after 1 year + 4% of Value after 1 year

After 3 years, value increases by 4% of Value after 2 years which means

Value after 3 years = Value after 2 years + 4% of Value after 2 years

After 4 years , value increases by 4% of Value after 1 year which means

Value after 4 years = Value after 3 years + 4% of Value after 3 years

Value of ring after four years with appreciation of 4 % each year is 4445.46

Answer:

Step-by-step explanation:

Given measures of 2 angles of a triangle :

m∠A = 69°

m∠C = 79°

Find m∠B.

We know that sum of angles of a triangle =180°

So, we have

Substituting the vales of m∠A = 69° and m∠C = 79°

Adding like terms.

Subtracting both sides by 146°.

∴ (Answer)

Answer:

Step-by-step explanation:

Extended Information on the Complex Number System

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Answer:

y+3=-4(x-5)

Step-by-step explanation:

m=-4

y-(-3)=-4(x-5)

y+3=-4(x-5)

Answer: B

Step-by-step explanation:

b) 8%= 50 x 0.08 = 4

10%= 50 x 0.1 = 5

5+4=9

50-9 = $41

Answer:

The price of a senior ticket is $12.

Step-by-step explanation:

Given:

Mr. Smith purchased 8 senior tickets and 5 child tickets for $136. Mr. Jackson purchased 4 senior tickets and 6 child tickets for $96.

Now, to get what is the price of a senior ticket.

Let the senior ticket be and the child ticket be :

So, according to question

.........(1)

...........(2)

Now, we have system of equations:

Multiplying the equation (2) by -2 we get:

.......(3)

Now, adding the equation (3) and (1) the variables and the numbers:

Dividing both sides by -7 we get:

Putting the value of y in equation (2) we get:

On solving the equation we get:

.

Therefore, the price of a senior ticket is $12.

Answer: 12

Step-by-step explanation:

Answer:

x = π/2, 7π/6, 11π/6

Step-by-step explanation:

2 cos² x + sin x − 1 = 0

Use Pythagorean identity:

2 (1 − sin² x) + sin x − 1 = 0

2 − 2 sin² x + sin x − 1 = 0

-2 sin² x + sin x + 1 = 0

2 sin² x − sin x − 1 = 0

Factor:

(sin x − 1) (2 sin x + 1) = 0

Solve:

sin x = 1 or -1/2

x = π/2, 7π/6, 11π/6

Answer:

The largest number of identical cubes whose volumes are whole numbers that would fit in a cube of volume 1080 is 10.

Step-by-step explanation:

Given that volume of larger cube is 1080

To find number of smaller cube with volume as whole numbers can fit the larger cube:

Imagine Rubik's cube of 3x3 as larger volume and one piece of Rubik's cube is smaller cube. On one edge, three smaller cube with volume

In the same way,

Assuming one edge has 'x' number of cube with volume as whole numbers

Since, It is cube. Number of cube in other edges will be 'x' too

For smaller cube,

Take one side of smaller cube as x

Therefore, One side of larger cube will be nx

For cube, length = height = breath =nx

The volume of larger cube :

nx=10.2598cm

we need to find the "largest" number of cube( i.e n )

Therefore, Side x will be smallest and n will be largest.

For smallest value of x,

It is also said that " volumes are whole numbers "

smallest whole number is 1

Thus,

nx=10.2598cm

n=10.2598

n is also whole number so that n=10

The largest number of identical cubes whose volumes are whole numbers that would fit in a cube of volume 1080 is 10.

Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value of

.

2

x

-

3

2

x

2

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3

x

+

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Divide the highest order term in the dividend

2

x

2

by the highest order term in divisor

2

x

.

x

2

x

-

3

2

x

2

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3

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+

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Multiply the new quotient term by the divisor.

x

2

x

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2

x

2

-

3

x

+

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+

2

x

2

-

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The expression needs to be subtracted from the dividend, so change all the signs in

2

x

2

−

3

x

x

2

x

-

3

2

x

2

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3

x

+

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After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.

x

2

x

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x

+

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2

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2

+

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Pull the next term from the original dividend down into the current dividend.

x

2

x

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+

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The final answer is the quotient plus the remainder over the divisor.

x

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−

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