What is an equation of the line that passes through the points (3,6) and (1,−2)?

Answer:

  H  x/10 = 18/8

Step-by-step explanation:

The fact that DE is parallel to CB means DE divides AC in the same proportion that it divides AB. This fact can be used to write a proportion to find x.

__

  [tex]\dfrac{\overline{DC}}{\overline{AD}}=\dfrac{\overline{EB}}{\overline{AE}}\\\\\boxed{\dfrac{x}{10}=\dfrac{18}{8}}\qquad\text{matches choice }\textbf{H}[/tex]

_____

Additional comment

The values used in the other answer ratios are not "corresponding."

Answer:

H

Step-by-step explanation:

∠ADE is a scaled version of ∠ ABC.

So,

18:8

and

10:x

Ratios can be expressed as fractions:

[tex]\frac{8}{18}[/tex] and [tex]\frac{x}{10}[/tex].

Since the scale factor is the same,8/18 has to be the same as 10/x.

Therefore,[tex]\frac{8}{18}[/tex]=[tex]\frac{x}{10}[/tex].

Hope this helps!!!

Please mark me as brainliest!!!

This took a lot of effort.

Answer:

32

P = 100 × 32%(0.32) = 32

Answer:

32

Step-by-step explanation: You multiply 100 by 0.32 which is 32% as a decimal

Answer:

Angle E equals 45 degrees and angle J equals 35 degrees.

If all angles of two triangles match up with one another, then you have yourself a pair of two similar triangles.

Hope it helps, have a fantastic day.

Step-by-step explanation:

We all know from geometry that all the angles of a triangle add up to 180 degrees.

We can form the following equation:

[tex]100 + 35 + E = 180[/tex]

[tex]E[/tex] here represents the measure of angle E.

Add together like terms:

[tex]135 +E = 180[/tex]

Then subtract 135 from both sides:

[tex]E = 45[/tex]

We can, likewise, form another equation for angle J :

[tex]100 + 45 + J = 180[/tex]

Add together like terms:

[tex]145 +J = 180[/tex]

Then subtract 145 from both sides:

[tex]J = 35[/tex]

Angle E equals 45 degrees and angle J equals 35 degrees.

If all angles of two triangles match up with one another, then you have yourself a pair of two similar triangles.

Answer:

(-7,-14)

Step-by-step explanation:
Going left is adding a negative value, so it would be -6-1 which is -7 for the x value and going down 5 units is also a negative value so it would be -9-5 which is -14 giving you (-7,-14)

Answer:

the slope is [tex]\frac{10}{21}[/tex]

Step-by-step explanation:

slope formula for linear equations:

[tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex] so for the two points [tex]\frac{-1 - (-11)}{10 - (-11)}[/tex]  [tex]= \frac{10}{21}[/tex]

Answer:

It should be 210, but that option isn't on here

Step-by-step explanation:

63 cups / 0.3 cups per serving = 210 servings

Answer:

C. 213?

Step-by-step explanation:

Not sure as you might've just copied and pasted in correctly as I do see you copied the bit where it says "Emma portfolio" and both A and B are both 6, as the answer. But 63/0.3 would give you 210 servings. So I'm not sure where the 3 extra servings are coming from.

Answer:

5/24

Step-by-step explanation:

Answer:

0.85x + 1.29y < 5

Step-by-step explanation:

x and y will be the numbers of grapes and potatoes he purchased.

Step-by-step explanation:

hope you anderstand

if that's the answer can you brainliest me please thank you

Answer:

110.5 yd²

Formula's:

Area of triangle:

1/2 × base × height

Area of rectangle:

length × width

Area of the figure:

= area of triangle + area of rectangle's

= 1/2 × 11 × 7 + 3 × 4 + 5 × 3 + 5 × 2 + 7 × 5

= 110.5 yd²

Answer:

110.5 yd²

Step-by-step explanation:

Separate the figure into 1 triangle and 3 rectangles.

(see attached image)

Area 1

Area of a triangle = 1/2 × base × height

                             = 1/2 × (7 + 2 + 2) × 7

                             = 1/2 × 11 × 7

                             = 38.5 yd²

Area 2

Area of a rectangle = width × length

                                 = 3 × (5 + 2 + 2)

                                 = 3 × 9

                                 = 27  yd²

Area 3

Area of a rectangle = width × length

                                 = 5 × (5 + 2)

                                 = 5 × 7

                                 = 35  yd²

Area 4

Area of a rectangle = width × length

                                 = 2 × 5

                                 = 10  yd²

Total Area

Area 1 + Area 2 + Area 3 + Area 2 = 38.5 + 27 + 35 + 10

                                                        = 110.5 yd²

The area of the triangle will be 4.2 square meters.

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

The height is 2.4 meters and the base is 3.5 meters.

Then the area of the triangle will be

Area = 1/2 x b x h

Then we have

Area = 1/2 x 3.5 x 2.4

Area = 4.2 square meters

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ1

✔ formula: A =  1/2 bh

✔ 3.5

✔ 2.4

✔ multiplying

✔ 4.2

Step-by-step explanation:

Took quiz

Answer:

x+2

Step-by-step explanation:

Given polynomial:

1x+2

x can be written as 1x, which is

Same case is here as well.

Rewrite 1x as x:

There isn't any like terms so we can't simplify.

Answer:

621.72

Step-by-step explanation:

The explanation is that the formula is V=2HπR

Multiply all of that and you get your answer of 621.72

Answer:

1. 2 + 12i

2. -3 - 4i

3. 7 - 11i

4. -9i

Step-by-step explanation:

just add and subtract like 'i' is a variable and make sure the answer is in the form a+bi

A dot plot for the attendance in Ben's class over a period of time is shown in the image attached below.

A dot plot can be defined as a type of line plot that is used to graphically represent a data set above a number line, especially through the use of dots.

In this scenario, a dot plot for the attendance in Ben's class over a period of time would be plotted as shown in the image attached below.

Read more on dot plots here: https://brainly.com/question/18466974

#SPJ1

Answer:

[tex]\frac{8}{30}[/tex]

Step-by-step explanation:

Card(AUBUC)= Card(A)+card(B)+card(C)-Card (A∩B) -Card( A∩C)-Card(B∩C) +Card(A∩B∩C)

= 21 + 14 + 15 - 10 - 8 - 4 + 2

= 30

Then

Card(AUBUC) = 30

Card( A∩C) = 2 + 6 = 8

[tex]p\left( A\cap C\right) =\frac{card\left( A\cap C \right) }{card\left( A\cup B\cup C \right) }[/tex]

               [tex]=\frac{8}{30}[/tex]

The slope of the given linear equation is 1/3 and the y-intercept will be 5/6. Then the correct option is D.

The slope is the ratio of rising or falling and running. The difference between the ordinate is called rise or fall and the difference between the abscissa is called run.

Identify the slope and y-intercept of the line whose equation is given. Write the y-intercept as an ordered pair.

The linear equation is given below.

[tex]\rm y =\dfrac{5}{6} + \dfrac{x}{3}[/tex]

Then the slope of the equation will be 1/3.

And the y-intercept will be 5/6.

More about the slope link is given below.

https://brainly.com/question/3605446

#SPJ1

Answer:

d

Step-by-step explanation:

Answer:

530.93

Step-by-step explanation:

area of a circle = πr²

where r = radius

here we are given the diameter

to convert to radius , we divide by 2

so radius = 26 / 2 = 13

so we have A = πr²

==> plug in r = 13

A = π13²

==> evaluate exponent

A = 169π

==> multiply 169 and π

A = 530.93 ( approximately )

To solve this problem, we need to use the theorem which states that the sum of angles in a triangle is equal to 180 degrees. The value of m<FED is equal to 120 degrees. From the diagram given, m<CBD is complimentary with m<BED

The value of m<FED can be calculated by summing the entire entity and equating to 180 degrees.

Data;

[tex]35+(16x-8)+(2x+9) = 180[/tex]

Reason: The sum of angles in a triangle is equal to 180 degrees.

But we would need to solve for the value of x.

[tex]35+(16x-8)+(2x+9) = 180\\35 + 16x - 8 + 2x + 9 = 180\\36+ 18x = 180\\180 - 36 = 18x\\18x = 144\\x = \frac{144}{18} \\x = 8[/tex]

Let's substitute the value of x into m<FED

[tex]m < FED = 16x - 8\\x = 8\\m < FED = 16(8) - 8 \\m < FED = 128 - 8\\m < FED = 120^0[/tex]

The value of m<FED is equal to 120 degrees.

From the diagram given, m<CBD is complimentary with m<BED

Learn more on sum of angles in a triangle here;

https://brainly.com/question/20377858

#SPJ1

Discriminant means that delta=b^2-4ac

(4)^2-4(4)(1)=0

If the discriminant is equal to 0, the quadratic equation has 1 real solution.

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

Explanation:

The goal is to get that 1755 degree angle between 0 and 360, so we can refer to the unit circle later.

Subtract off 360 from this until we get to that target

Or a shortcut could be

The angles of 1755 degrees and 315 degrees are coterminal. They point in the same exact direction which is directly southeast in quadrant IV.

Now use the unit circle (see below) to find that

Dividing those two items and simplifying gets us

tan(315) = sin(315)/cos(315) = -1

Then we go from tan(315) = -1 to tan(1755)  = -1

Answer:

61.8 feet to nearest tenth.

Step-by-step explanation:

USING THE PYTHAGORAS THEOREM:

55*2 = 21^2 + h^2  where h is the height of the top of the ladder from the ground.

h^2 = 55^2 - 21^2

      =  2584

h = √2584

   =  50.83 ft.

So the height of the building

= 11 + 50.83

= 61.83 feet.

An angle's measure is 20 times less than its supplement. Determine the angle's length. supplement = 180 - x = 180 - 130 = 50 degrees

The number of folders and notebooks in the equation is given by 3 and 5 respectively.

let

The equation:

x + y = 8

0.50x + 1.0y = 6

From (1)

x = 8 - y

Substitute x = 8 - y into (2)

0.50(8 - y) + 1.0y = 6

4 - 0.50y + 1.0y = 6

4 + 0.40y = 6

4 - 6 = -0.40y

-2 = - 0.40y

y = -2 / 0.40

y = 5

Recall

x + y = 8

x + 5 = 8

x = 8 - 5

x = 3

Learn more about simultaneous equation:

https://brainly.com/question/16863577

#SPJ1

Answer:

v = 29647.79 cu.ft.

Step-by-step explanation:

[tex]v=\frac{4}{3} \pi r^{3}\\ r=19.2[/tex]

[tex]v=\frac{4}{3} \pi (19.2)^{3} =29,647.79 cu.ft[/tex]

Hope this helps

Answer:

29632.76 cubic feet

Explanation:

volume of sphere: 4/3 π(radius)³

Here given:

Volume:

insert values

simplify

rounded to nearest hundredth

Answer:

A minimum of 21250 packets per day.

Step-by-step explanation:

If Monday produced 15,000 packets, and Tuesday was closed they produced 15,000 packets in 2 days.

The factory is open 6 days a week.

They need 100,000 packets.

They have 15,000 packets.

6 subtract 2 is 4.

100,000 subtract 15,000 is 85,000.

They need 85,000 packets in 4 days.

That is a minimum of 21250 packets per day.

21250 is minimum equal number of packets that must be packed per day for the remaining days

Two or more expressions with an Equal sign is called as Equation.

Given that packaging factory is open from Monday to Saturday.

On monday 15,000 packets were packed.

On tuesday the factory is closed.

The factory has to pack in that week of 100000 packets.

As already 2 days completed by packing 15000

The remaining packets should be packed within 4 days.

The remaining packets are 100000-15000

85000

This should be done with in four days of time.

We need to find the minimum equal number of packets that must be packed per day for the remaining days.

Divide 85000 by 4

85000/4

21250

Hence, 21250 is minimum equal number of packets that must be packed per day for the remaining days

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

Answer:

The quotient of seven and p

7 / p