Given m∠3+m∠8=180° . PLEASE I NEED HELP

Which lines are parallel, if any must be parallel, based on the given information?


A) - Not enough information to make a conclusion.

B) - c∥d by the converse of the same-side interior angles theorem.

C) - a∥b by the converse of the corresponding angles theorem.

D) - c∥d by the converse of the alternate interior angles theorem.

The Intel pays $7,760 to Bally Manufacturing on August 14.

The first step in calculating what Intel Corporation pays Bally on August 14 is to determine the net price of the machinery after the trade discount and the return of $100 due to defects.

The trade discount of 40% is calculated as follows:

Discount = List price × Discount rate

Discount = $13,100 × 0.40 = $5,240

So the net price of the machinery after the trade discount is:

Net price = List price - Discount

Net price = $13,100 - $5,240 = $7,860

After Intel returns $100 of machinery, the cost of the machinery is further reduced to:

Net price after return = Net price - Return

Net price after return = $7,860 - $100 = $7,760

Since the payment terms are 3/10 EOM (end of month), Intel receives a discount of 3% if payment is made within 10 days. The 10-day period begins on August 1 and ends on August 10 (the payment due date). Since Intel pays the bill on August 14, payment is late and the 3% discount does not apply.

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Answer:

the iqr is 42

Step-by-step explanation:

Answer: $12,500

Step-by-step explanation:

We want to find how much he deposited annually, so we divide 2000 by 2 to get 1000 for 1 year. 1000 is 8 percent of what we need to find, so if we multiply 1000 by 100/8, we get $12,500 as our answer.

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Answer: radius and height

Step-by-step explanation:

Radius is the distance between the center of the circle to its boundary.

Height is the length of the figure from top to bottom.

Given statement : A cylinder with height of 42 millimeters and radius of 12 millimeters.

That clearly means that the cylinder is having radius of 12 millimeters i.e. 12 is representing the measure of the radius of the cylinder.

And Similarly, 42 is representing the measure of the height of the cylinder.

Hence, the 2 and 42 describe the radius and height respectively of the cylinder.

Answer:

radius and height

Step-by-step explanation:

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Yes , it is true that two pairs of adjacent sides of a kite are equal .

A quadrilateral with two pairs of adjacent sides equal in length is called a kite. Kites also have one pair of opposite angle equal as shown in the figure below.

Hence , the given statement is true .

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Answer:

(a,m=(-1499/1812, 1/2)

Step-by-step explanation:

hope this helps!

Answer:

65 and 115

Step-by-step explanation:

The two angles are same side interior angles which means they add to 180

3x-5 + 2x-15 = 180

Combine like terms

5x -20 = 180

Add 20 to each side

5x-20+20 = 180+20

5x= 200

Divide by 5

5x/5 = 200/5

x=40

The top angle is

3x-5 = 3*40 -5 = 120-5 = 115

The bottom angle is

2x-15 = 2*40 -15 = 80 -15 = 65

Step-by-step explanation:

it would be best if you snapped this question for better understanding, however

4/√5. +. 3√125

4/√5. +. 3(√25 x √5)

4/√5 + 3(5√5)

4/√5 + 15√5

Answer:

x=7

Step-by-step explanation:

The simplified expression is cos(x) of trigonometric expression  (sin (30° + x)+sin (30° - x))

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

We can simplify this expression using the sum-to-product formula for sine:

sin(a + b) + sin(a - b) = 2 sin(a) cos(b)

Let's use this formula by setting a = 30° and b = x:

sin(30° + x) + sin(30° - x) = 2 sin(30°) cos(x)

We know that sin(30°) = 1/2, so we can substitute:

sin(30° + x) + sin(30° - x) = 2(1/2) cos(x)

sin(30° + x) + sin(30° - x) = cos(x)

Therefore, the simplified expression is cos(x).

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The total volume of the air space of spherical ball is A = 12.265625 inches³

Given data ,

Since each tennis ball has a diameter of 2.5 inches, the radius of each ball is 1.25 inches.

The air space around the balls can be thought of as a cylinder with a height equal to the diameter of one ball and a radius equal to the radius of one ball.

The height of the cylinder is 2.5 inches, and the radius is 1.25 inches.

The formula for the volume of a cylinder is:

V = πr²h

V = ( 3.14 ) ( 1.25 )² ( 7.5 )

V = 36.796875 inches³

where V is the volume, r is the radius, and h is the height.

So, the volume of the one ball is:

V₁ = ( 4/3 )π(1.25)³

V₁ = 8.177083 inches³

The total volume of three balls is = volume of 3 spherical balls

V₂ = 3V₁ = 3(8.177083) ≈ 24.53125 cubic inches

Therefore, the total volume of the air space around the three tennis balls is approximately A = 36.796875 inches³ - 24.53125 inches³

A = 12.265625 inches³

Hence , the volume of air space is A = 12.265625 inches³

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Answer:

-14x² - x + 4

Step-by-step explanation:

(-10x² + 5x - 3) - (4x² + 6x - 7)

= (-10x² + 5x - 3) - (+4x²) - (+6x) - (-7)

= (-10x² + 5x - 3) -4x² -6x +7

= -10x²-4x² +5x-6x -3+7

= -14x²  - x + 4

Answer:

8mph

Step-by-step explanation:

I just answered the question

Given the expression

The factors of the above expression are evaluated by the factorization of the expression.

Thus,

Step 1:

Replace the middle term of the expression with two factors in terms of x, such that the sum of the terms gives the middle term, and the product of the terms gives the product of the first and the last term.

Thus,

Step 2:

Factorize out the common factors.

Hence, (3x-2) is one of the factors of 3x²-14x+8.

The second option is the correct answer.

The researcher needs to add 20 ml of 8% solution and 10 ml of 17% solution to make a 11% solution

Concentration is the measure of the mass of solute in certain volume of solution.

The parameters useful in measuring concentration is Molarity , Normality , Molality etc.

It is given that concentration of saline solutions with concentrations of 8% and 17%.

A mixture of 11% 30 ml concentration solution has to be made

The formula for mixing mixtures is given by

\(\rm M = \dfrac{m_1 x_1 +m_2x_2}{x_1+x_2}\)

Here m₁ and m₂ represents the concentration and x₁ and x₂ represents the volume of solution added  x₁ = x and  x₂ 30-x

M = ( 8 * x +(17*(30-x))/(30)

30*11 = 8x +510 -17x

330 = -9x +510

9x = 180

x =20ml

Therefore the researcher needs to add 20 ml of 8% solution and 10 ml of 17% solution to make a 11% solution.

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The measurement to the containers is 540in.

Since the conversion from one quantity unit to another quantity unit is followed by the process of division, and multiplication by a conversion factor.

We are given that;

12 inches (in.) = 1 foot (ft)

Now,

To convert feet to yards, divide the number of feet by 3:

195 ft / 3 = 65 yd

To convert inches to feet, divide the number of inches by 12:

540 in / 12 = 45 ft

To convert inches to yards, first convert inches to feet, then divide by 3:

540 in / 12 = 45 ft 45 ft / 3 = 15 yd

Therefore, by conversion, the answer will be 540in.

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Answer:

let's see...

Step-by-step explanation:

The linear parent function is :

\(f(x) = a \: x + b\)

Where a is the slope of the line and b is the width of the origin.

Answer:

f(x) = x

Step-by-step explanation:

Answer:

Corrie = 5 ft.  2 in.

Jennifer = 4 ft.  6 in.

Step-by-step explanation:

If you convert Jason's height to inches then it would be 57 in.

4 x 12 = 48 in.     48 + 9 = 57 in.

To find Corrie's height you just have to add 5 inches to Jason's height.

57 + 5 = 62 in.

And to find Jennifer's height you just subtract 8 inches from Corrie's height.

62 - 8 =  54 in.

Now all you need to do is convert Corrie and Jennifer's height into feet. You have to divide Corrie and Jennifer's height by 12 inches. And if there are leftover or remaining numbers once you divide, they are just inches that you add on after the feet.

Jennifer's height =  54 / 12 = 4 feet and 6 inches are left over.

Corrie's height = 62 / 12 = 5 feet and 2 inches are left over.

Answer:

Sam would have $22.80 left over

Step-by-step explanation:

28 boxes of nails cost $10.3616

Planks cost $91.84

All together he spent $102.20 on supplies leaving him with $22.80

Answer:

420 K x (60 cm³ / 70 cm³) x (7 / 18) = 294.29 K

Step-by-step explanation:

For the given function the value of limits are

\(\lim _{x\to 0^-}\left(f\left(x\right)\right)\) is 5

\(\lim _{x\to 0^+}\left(f\left(x\right)\right)\) is 0

\(\lim _{x\to 0}\left x^2+5\)is 5

The given function is f(x)= x²+5, when x≤0

f(x)=2x when x>0

\(\lim _{x\to 0^-}\left(f\left(x\right)\right)\)

Which is \(\lim _{x\to 0^-}\left x^2+5\)

The given limit is a left hand limit as there is minus in the limits

When we apply x as 0 we get the value 5

Now \(\lim _{x\to 0^+}\left(f\left(x\right)\right)\)

So \(\lim _{x\to 0^+}\left 2x\)

The given limit is a right hand limit as there is positive in the limits

When we apply x as 0 we get 0

Now \(\lim _{x\to 0}\left(f\left(x\right)\right)\)

Which is \(\lim _{x\to 0}\left x^2+5\)

We get 5

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Answer:

.....,....................

Answer:

(6,9)

Step-by-step explanation:

Y=2/3x+5

Y=x+3

2/4x + 5 = x + 3

Solve the equation

x=6

Substitute the value of x

y=6+3

Solve the equation again.

Now we know y=9

(x,y) = (6,9)

Check the solution

9=2/3 x 6 + 5

9=6+3

Simplify

Answer:

x(6+8)*x^2

Step-by-step explanation:

The population of a city after 5 years would be 261698.

We know the the formula for the exponential growth of the population is,

P(t) = a(1+r)^t

where, a is the initial population

t is the time period

r is the rate of growth

In this question, we have a = 210000, %R = 4.5

So, r = 0.045

We need to find the population after 5 years.

t = 5

Using above formula,

P = 210000 × ( 1 + 0.045)^5

P =  210,000 × (1.045)^5

P = 210,000 × 1.25

P = 261698.2

P ≈ 261698

Therefore, the population of a city after 5 years would be 261698.

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Answer:

Answer D

Step-by-step explanation:

The answer here is D since all of the other ones have at least one option that is perpendicular to segment EF.

The value of y in simplest form for the point P = (1/2, y) lying on the unit circle is y = ± √(3)/2.

To find the value of y in simplest form for the point P = (1/2, y) lying on the unit circle, we can use the equation of the unit circle, which states that for any point (x, y) on the unit circle, the following equation holds: x^2 + y^2 = 1.

Plugging in the coordinates of the point P = (1/2, y), we get:

(1/2)^2 + y^2 = 1

1/4 + y^2 = 1

y^2 = 1 - 1/4

y^2 = 3/4.

To simplify y^2 = 3/4, we take the square root of both sides:y = ± √(3/4).

Now, we need to simplify √(3/4). Since 3 and 4 share a common factor of 1, we can simplify further: y = ± √(3/4) = ± √(3)/√(4) = ± √(3)/2.

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