why are parallel lines considered to be parallel ? explain

Answer:

The 3rd option

Step-by-step explanation:

To prove that 2 triangles are similar, we need to prove that 2 pairs of their angle measurements are congruent.

This is because all triangles have 180 degrees, so if 2 pairs are congruent, the remaining angles will also be congruent

We know that m<D=m<E

We also know that m<DCA=m<ECB because they are vertical angles.

Vertical angles are always congruent.

Therefore, the triangles are similar.

The correct similarity statement would be 1, since <D corresponds with <E.

Now let's look at the 3rd Statement. To prove that two lines are similar, we would have to prove that their alternate interior angles are congruent.

A pair of alternate interior angles would be <D and B or or <E  and <A

There is no way to prove this, since we do not know any of the angle  or that measurements or if the triangles are isosceles triangles.

Hence, the correct choice would be 1 only.

Answer:

Less than 13 pounds of grapes,

as 14 pounds of grape exceeds $35.80,

If you order as low as zero pounds of grapes, then the price of apple pounds would be $35.80/20 =$1.79 per pound

Step-by-step explanation:

Let

Quantity of Apple and grapes=20

Cost of apple=$2.19

Cost of grape=$2.60

Total cost of apple and grape=$35.80

a+g=20

a=20-g

PaQa+PgQg=35.80

2.19(20-g)+2.60g=35.80

43.8-2.19g+2.60g=35.80

0.41g=35.80-43.8

0.41g=-8

g=-8/0.41

g= -19.51

PaQa+PgQg=35.80

2.19a+2.60(-19.51)=35.80

2.19a-50.726=35.80

2.19a=35.80+50.726

2.19a=86.526

a=86.526/2.19

=39.51

PaA+PgG=35.80

Pa(20-G)+2.60G=35.80

35.80/2.60 = 13.77 pounds of grapes, but no money will be left to buy apples, unless Pa=0

G<13.77

Answer:

Irrational

Step-by-step explanation:

3 1/3 × √52

= 10/3 × √52

= 20/3√13

= 24.037009

Irrational, the product cannot be written in the form p/q as a fraction.

Answer:

irrational

Step-by-step explanation:

3 1/3 * sqrt(52)

Changing to an improper fraction

10/3 * sqrt(52)

10 /3 * sqrt( 4*13)

10/3 * sqrt(4) sqrt(13)

10/3 * 2 sqrt(13)

20/3 sqrt(13)

Since sqrt(13) is irrational the product is irrational

Answer:

DF = 25

Step-by-step explanation:

We know that the triangle midpoint theorem says that the line segment connecting the midpoints of two sides of a triangle is parallel to the third side and is congruent to one half of the third side.

So,

DF = [tex]\frac{1}{2} AC[/tex]

Where AC = 50

DF = 50/2

DF = 25

Answer:

14

Step-by-step explanation:

The range of a given set of values is the lowest value deducted from the highest value.

Lowest value is -8 and highest value is 6.

Therefore,

[tex]Range = Highest value - Lowest value \\ = 6 - ( - 8) \\ = 6 + 8 \\ = 14[/tex]

Hope it helps!

Answer:

64 mph

Step-by-step explanation:

80 divided by 1.25 equals 64

1.25 is the decimal version of 1 and 1/4

Answer:

80/ 1 1/4

Step-by-step explanation:

Also CALM DOWN JAMAL DONT PULL OUT THE 9

Answer:

A

Step-by-step explanation:

[tex](10^{-2})^{4}[/tex]

Apply the law of exponents.

[tex]10^{-2 \times 4}[/tex]

[tex]=10^{-8}[/tex]

Answer:

[tex] = {10}^{ - 8} \\ [/tex]

Answer A is correct.

Step-by-step explanation:

[tex] {( {10}^{ - 2}) }^{4} \\ {10}^{ - 2 \times 4} \\ = {10}^{ - 8} [/tex]

Answer:

6 sq. units

Step-by-step explanation:

The area of a triangle is base times height divided by 2.

[tex]\frac{bh}{2}[/tex]

[tex]\frac{6 \times 2}{2}[/tex]

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

Answer:

D. 6

Step-by-step explanation:

The formula for the area of a triangle is A=1/2bh. In this case, the base is 6 and the height is 2. The work is below:

A=1/2bh

A=1/2(6)(2)

A=1/2(12)

A=6

Hope this helps!!! PLZ MARK BRAINLIEST!!!

Answer:

- 8

Step-by-step explanation:

Note that [tex]\frac{dy}{dx}[/tex] is the slope of the tangent at x = a

Differentiate using the power rule

[tex]\frac{d}{dx}[/tex] (a[tex]x^{n}[/tex] ) = na[tex]x^{n-1}[/tex]

Given

y = 3x² - 2x + 5, then

[tex]\frac{dy}{dx}[/tex] = 6x - 2

x = - 1 : [tex]\frac{dy}{dx}[/tex] = 6(- 1) - 2 = - 6 - 2 = - 8

Step-by-step explanation:

Angle XBC = 55 degrees because it is a corresponding angle with Angle AXC

and corresponding angles are equal or congruent.

Ok so angle XBC = 55 degrees and since this an isosceles triangle

XBC = XCB which means XCB = 55 degrees

Now to find angle BXC we know that all angles of a triangle add up to 180 degrees.

Angle XBC + Angle XCB + Angle BXC = 180 degrees

Let x represent angle BXC

55 + 55 + x = 180

110 + x = 180

x = 180 - 110

x = 70

∴ Angle BXC = 70 degrees

Answer: Option C.

Step-by-step explanation:

Ok, first, a linear function is something of the shape of:

y = a*x + b.

And the graph of those functions is a line, as the name implies, so we can discard that option.

So this must be a non-linear function, you can see that is a function because each value of x has only one value of y related to it.

Second, in a Venn diagram you will see that the set of functions is contained into the set of relationships, this means that all the functions are relationships, but not all the relationships are functions, and we know that this is a non-linear function, so this also must be a relationship.

Then the correct option is C, nonlinear, and a relationship.

Answer:

y2 = m(x2-x1)+y1

Step-by-step explanation:

Given the formula for finding the slope of a linear equation to be;

m = y2-y1/x2-x1 where x and y are from the ordered pairs (x1,y1) and (x2,y2)

To get the equivalent equation for y2, we will make y2 the subject of tbw formula from the equation as shown:

m = y2-y1/x2-x1

Cross multiplying

m(x2-x1) = y2-y1

mx2-mx1 = y2-y1

Adding y1 to both sides of the equation we have;

mx2-mx1 + y1= y2-y1+y1

y2 = mx2-mx1 + y1

y2 = m(x2-x1)+y1

This gives the resulting equation to solve for y2

Answer:

c

Step-by-step explanation:

edg

CHECK THE COMPLETE QUESTION BELOW:

Supervisor: "Because you are working a late shift, you will get an increase in your wage. You will get an additional 10% per hour from 6:00 PM to 12:00 AM and additional 15% from 12:00 AM to 1:00 AM." Employee: "I am working from 2:00 PM to 12:00 AM. Between 2:00 PM and 6:00 PM, I will make $12.00 per hour. Between 6:00 PM and 12:00 AM, I will make __________ per hour

Answer:

I will make $13.2 per hour

Explanation:

It can be deducted from the question that that the money Employee gets money for Working from 2.00 PM to 6.00 PM = $12per hour

Also the Employee gets additional 10% of money for working from 6.00 PM to 12.00 AM which implies that

10% = (10/100)*$12per hour

=$1.2per hour

Again, Employee gets additional 15% of the money for working from 12.00 AM to 01.00 AM which can be calculated as:

15% = (15/100)*$12per hour

=$1.8 per hour

which means that Employee gets additional $1.8 per hour

of the money for working from 12.00 AM to 01.00 AM

Therefore, if Employee works from 2.00 PM to 12.00 AM,

Employee will gets money for Working from 2.00 PM to 6.00 PM as well as the 10\% extra wage which

= $12 + $1.2 = $13.2

= \$ 12 + \$ 1.2 = \$ 13.2

Answer: 1/100 of a mile

Step-by-step explanation:

36 inches is equal to 3 feet which is equal to 1 yard

1/100 of a mile = 633.6 inches

Answer:

1/100 of a mile

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

Since you didn't attach an image of the graph I'll have to do this the long way and use a strategy called "completing the square" to find the vertex. The x-coordinate of the vertex is the axis of symmetry.

x² - 4x + 6

= (x - 2)² - 4 + 6

= (x - 2)² + 2, therefore the vertex is (2, 2) so the axis of symmetry is x = 2.

Answer:

almonds cost $3.25 per pound and jelly beans $2.50

Step-by-step explanation:

system of linear equations

2a+3j=14

4a+8j=33

solution is (3.25, 2.5)

Answer:

1/3

Step-by-step explanation:

7/12 - 3/12= 4/12= 1/3

Answer:

about 128 inches

Step-by-step explanation:

Since it's talking about how much the container is holding, this means we have to use the formula for the volume of a cone, which is  [tex]V=\pi r^{2} \frac{h}{3}[/tex]

Plug in the given values into the formula and solve for h:

[tex]340.2=\pi (5)^{2} \frac{h}{3}[/tex]

[tex]340.2=\pi (25)\frac{h}{3}[/tex]

[tex]\frac{340.2}{25\pi } = \frac{25\pi\frac{h}{3} }{25\pi }[/tex]

[tex]42.75=\frac{h}{3}[/tex]

[tex]42.75(3)=\frac{h}{3} (3)[/tex]

[tex]128=h[/tex]

Step-by-step explanation:

Para hacer las porciones para 32 personas, multiplique cada cantidad de ingrediente por 4 ya que la receta proporciona 8 porciones y 8 * 4 = 32

Papa seca = [tex]\frac{1}{2} *4[/tex]

                     = 2 papas secas

Cerdo = [tex]\frac{1}{2} *4[/tex]

       = 2 kg de carne de cerdo

Cebollas = 1 * 4

            = 4 cebollas grandes

Aji panca = 3 * 4

               = 12 cucharadas de aji panca

Ajo molido = [tex]1\frac{1}{2} *4[/tex]

                       = [tex]\frac{3}{2} *4[/tex]

                       = 6 cucharadas de ajo molido

Sal = 1 * 4

      = 4 cucharadas de sal

Step-by-step explanation:

here first you have to find the perimeter of square

given that perimeter of circle is equal to perimeter of square,,,,, therefore with the perimeter of square you have to find the radius of the circle.....

now you have the radius of the circle so by applying the formula of area of circle the answer will be finded

Please follow

Answer:

38.47 units²

Step-by-step explanation:

I got it right on the test...

Answer:

c = 730 cm

Step-by-step explanation:

To solve this question we just need to use the law of sines:

The ratio between a side in the triangle and its opposite angle is always the same.

So we have that:

[tex]a / sin(A) = c / sin(C)[/tex]

[tex]714 / sin(78) = c / sin(90)[/tex]

sin(78) is equal 0.9781 and sin(90) is equal 1, so we have:

[tex]714 / 0.9781 = c / 1[/tex]

[tex]c = 714 / 0.9781 = 730\ cm[/tex]

Answer:

B) 6 inches

Step-by-step explanation:

==>Given that ∆JKL ~ ∆TUV, it therefore means the ratio of proportion of the corresponding sides of ∆JKL and ∆TUV are equal.

Thus:

JK/TU = JL/TV = KL/UV

10/7.5 = 8/x = 13/9.75

Let's find x

10/7.5 = 8/x

=>Cross multiply

10*x = 8*7.5

10x = 60

Divide both sides by 10

x = 6 inches

Our answer is B) 6 inches

Answer:

length of side of square = (4x - 5) inches

Step-by-step explanation:

We are given;

Area of square = 16x² – 40x + 25

Let's find the roots of this quadratic equation [-b ± √(b² - 4ac)]/2a

Thus;

x = [-(-40) ± √((-40)² - 4(16 × 25)]/(2×16)

x = [40 ± √(1600 - 1600)]/32

x = (40 ± 0)/32

x = 40/32

x = 5/4

Thus, the factors of the polynomial are;

(4x - 5)²

So,

Area = 16x² – 40x + 25 = (4x - 5)²

Since, the right hand side is (4x - 5)² and area of square is (length of side)², thus we can say that length of side of square is (4x - 5) inches

Answer:

32 seconds

Step-by-step explanation:

Answer:

2.5 meters in a second.

Step-by-step explanation:

I'm assuming it's how many meters per second.

meters : seconds

  40     :      16

  10      :       4

  2.5    :     1

Answer:

8 sides.

Step-by-step explanation:

Divide the exterior angle with 360.

360 ÷ 45 = 8

The regular polygon has 8 sides.

Answer:

Step-by-step explanation:

Sum of measures of all angles of a regular polygon = 360 degree

one exterior angle = 45 degree

∴ no of sides = 360/45 = 8 sides

hope this helps

plz mark it as brainliest!!!!!!

Answer:

720 cherries

Step-by-step explanation:

Answer:

720

Step-by-step explanation:

Cherries Cherie pie

240 = 3

X = 9

The known number of cherries will be given as x then u cross multiply

3×X=240×9

3X=2,160

Divide both sides by 3

3/3X=2,160/3

X=2,160/3

X=720

This implies that the number of cherries needed to make 9 cherry pie is 720

I hope this help

Answer:

-17/14

Step-by-step explanation:

To subtract fractions, you must have a common denominator. If that is not given, you make it.

You do so buy finding the LCM of denominators:

LCM of 7 and 2 = 14

Now, here you have multiplied the denominators either by 7 or 2. You do the same for the respective numerators:

2x2/14 - 3x7/14 = 4/14 - 21/14.

Now that you have the same denominator, subtract the numerators:

4-21 = - 17

Put it back as a fraction : -17/14

hope this helps.

Answer:

It is proved that 2PQ + 2SR + 2QR + 2 PS = 4(2(OP)+2(OQ))

Step-by-step explanation:

In a rhombus, all sides are equal.

Thus, in this question;

PQ = SR = QR = PS

By inspection, QS is the same dimension as the four sides. So, QS = PQ

Thus, OQ = PQ/2

For OP, we can find it using Pythagoreas theorem since the angle that divides the diagonals is 90°

Thus;

|OP|² + |OQ|² = |PQ|²

Earlier, we saw that;OQ = PQ/2

Thus;

|OP|² + |PQ/2|² = |PQ|²

|OP|² = |PQ|² - |PQ/2|²

|OP|² = |PQ/2|²

Taking square root of both sides, we have;

OP = PQ/2

So,going back to the question, on the right hand side, we have;

4(2(OP) + 2(OQ))

Let's put,

PQ/2 for OQ and OP as gotten earlier

So,

4(2(PQ/2) + 2(PQ/2)) = 4(PQ + PQ)

Since PQ = SR = QR = PS, we can rewrite as;

4PQ + 4PQ = (PQ + SR + QR + PS) + (PQ + SR + QR + PS) = 2PQ + 2SR + 2QR + 2 PS

This is equal to the left hand side, so the equation is proved correct.

Answer:

The answer is "64".

Step-by-step explanation:

Given:

8-sided fair die

output of Die = { 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 }

if the Dice is thrown two times. so, the possible outputs are as follows:

[tex]\to 8 \times 8=64[/tex]

[tex]\texttt{ = (1,1),(1,2),(1,3),(1,4),(1,5),(1,6),}\\ \ \ \texttt{(1,7),( 1, 8),(2,1),(2,2),(2,3),(2,4),}[/tex]

[tex]\texttt{(2,5),(2,6),(2,7),(2,8),(3,1), (3,2),}\\ \texttt{(3,3),(3,4),(3,5),(3,6),(3,7),(3,8) ,}\\\texttt{(4,1),(4,2),(4,3), (4,4),(4,5),(4,6),} \\[/tex]

[tex]\texttt{(4,6),(4,7),(4,8),(5,1),(5,2),(5,3),}\\\texttt{(5,4),(5,5),(5,6),(5,7),(5,8),(6,1),}\\\texttt{(6,2),(6,3),(6,4),(6,5),(6,6),(6,7),}[/tex]

[tex]\texttt{(6,8),(7,1),(7,2),(7,3),(7,4),(7,5),} \\\texttt{(7,6),(7,7),(7,8),(8,1),(8,2),(8,3),}\\ \texttt{(8,4),(8,5),(8,6),(8,7),(8,8)}[/tex]

That's why the product is 64.

Answer:

138

Step-by-step explanation:

Let the number of employees before the layoff be x.

1/6 of the company's workers were laid off and the remaining workers are 690. This means that:

1/6 * x = x - 690

=> x/6 = x - 690

=> 690 = x - x/6

690 = 5x/6

=> x = (690 * 6) / 5

x = 828

There were 828 workers before the layoff. Therefore, the number of employees that were laid off is:

828 - 690 = 138 employees

The company's laying off its workforce is an illustration of proportions.

A total of 138 employees were laid off

The proportion (p) laid off is given as:

[tex]p = \frac 16[/tex]

The proportion (q) remaining in the workforce would be

[tex]q = 1 - p[/tex]

This gives

[tex]q = 1 - \frac 16[/tex]

[tex]q =\frac 56[/tex]

The workforce after 1/6 were laid off is given as 690.

So, we have:

[tex]q \times n = 690[/tex]

Where n represents the original workforce

This gives

[tex]\frac 56 \times n = 690[/tex]

Multiply both sides by 6/5

[tex]n = 828[/tex]

The number of employees that were laid off is:

[tex]Employee = 828 - 690[/tex]

[tex]Employee = 138[/tex]

Hence, 138 employees were laid off

Read more about proportions at:

https://brainly.com/question/16981404