Write the equation of the line.
(Check image)
Options:
a. y = -2/3x + 4
b. y = 2/3x + 4
c. y = 3/2x + 4
d. y = -3/2x + 4

please show step by step

Answer:

Step-by-step explanation:

Angle ABD is congruent to angle BDC by alternate interior angles of the parallel sides AB and DC.

Angle GEB is a right angle by given.

Angle DFC is a right angle by given.

The remaining angles for each triangle are congruent by sum of angles of a triangle is 180 degrees.

The two triangles are similar by  angle-angle-angle.

Answer:

3/4

Step-by-step explanation:

Step-by-step explanation:

3. We know the x value which is -5 and the y value which is 1. We need to find the hypotenuse which we refer to the r. We use the pythagorean theorem for that

[tex] {x}^{2} + {y}^{2} = {r}^{2} [/tex]

[tex] { - 5}^{2} + {1}^{2} = r {}^{2} [/tex]

[tex]25 + 1 = r {}^{2} [/tex]

[tex]26 = r {}^{2} [/tex]

[tex]r = \sqrt{26} [/tex]

Now let find the sin, csc, and tan.

To find sin let use the formula

[tex] \frac{y}{r} [/tex]

[tex] \frac{1}{ \sqrt{26} } [/tex]

Rationalize the denominator

[tex] \frac{1}{ \sqrt{26} } \times \frac{ \sqrt{26} }{ \sqrt{26} } = \frac{ \sqrt{26} }{26} [/tex]

[tex] \sin = \frac{ \sqrt{26} }{26} [/tex]

To find cosecant, it is the reciprocal of sin so it would be

[tex] \csc = \frac{26}{ \sqrt{26} } \times \frac{ \sqrt{26} }{ \sqrt{26} } = \sqrt{26} [/tex]

To find tan, do

[tex] \frac{y}{x} [/tex]

Which is simply

[tex] \tan= \frac{1}{ - 5} [/tex]

4. Kennedi is correct since in the 2nd quadrant

The x value is negative, and the y value is positive.

Since sin is referred in trig as the y value, sin must be positive.

Answer:

25

Step-by-step explanation:

I gallon is 4 quarts so that would be a 600 quarts oil tank so since each case is 24 quarts 600/24 = 25

150 gallons of oil is equivalent to 600 quarts. A full 150-gallon oil tank can yield 25 full cases, with each case containing 24 quarts

The concept used to solve the problem is conversion:

The conversion factor that 1 gallon is equal to 4 quarts.

Given that,

Job: Fill quart-size bottles of oil from a full 150-gallon oil tank.

Packaging: Pack 24 quarts of oil in a case to ship to a store.

Tank Capacity: The oil tank is full and has a capacity of 150 gallons.

Convert the measurements to a common unit.

Since we have to fill quart-size bottles,

Convert 150 gallons to quarts.

Since 1 gallon is = 4 quarts,

So 150 gallons would be 150 x 4 = 600 quarts.

To determine how many full cases of oil we can pack from 600 quarts. Each case contains 24 quarts.

To find the number of cases,

Divide the total number of quarts by the number of quarts per case:

600 quarts ÷ 24 quarts/case

= 25 cases.

Therefore,

You can get 25 full cases of oil from a full 150-gallon oil tank.

To learn more about the measurement unit visit:

https://brainly.com/question/777464

#SPJ4

Answer:

6 1/18 table or technically 7 since 3 tables are for the girls and 3 for the boys then one extra table for the last boy.

Step-by-step explanation:

but if you had to choose one then it would be 7

Answer:

Step-by-step explanation:

6.16 because if you add the total number of students and then divide it by 6 you get 6.166666666666667 so the answer is 6.16 mark brainliest please if the answer is correct just need two more to have five

Answer:

The company should not make 300 bicycles.

Step-by-step explanation:

Mathematically speaking, profit ([tex]P(y)[/tex]) equals the difference between revenue ([tex]R(y)[/tex]) and cost ([tex]C(y)[/tex]). That is:

[tex]P(y) = R(y) - C(y)[/tex] (1)

If we know that [tex]R(y) = 2\cdot y^{2}+10\cdot y + 500[/tex] and [tex]C(y) = y^{2}+10\cdot y+100000[/tex], then the profit function is:

[tex]P(y) = 2\cdot y^{2}+10\cdot y +500 -y^{2}-10\cdot y -100000[/tex]

[tex]P(y) = y^{2}-99500[/tex] (2)

The company can make the required amount of bicycles if and only if [tex]P(y) > 0[/tex]. If [tex]y = 300[/tex], then the profit of company is:

[tex]P(300) = 300^{2}-99500[/tex]

[tex]P(300) = -9500[/tex]

The company should not make 300 bicycles.

Answer:

187,591,805

Step-by-step explanation:

187,599,742 - 7937 = 187,591,805

HTH :)

Answer:

Step-by-step explanation:

7). Since, ∠4 and ∠5 are the linear pair of angles,

    m∠4 + m∠5 = 180° [Supplementary angles]

    72° + m∠5 = 180°

    m∠5 = 180° - 72°

    m∠5 = 108°

8). Since, ∠6 and ∠7 are the vertically opposite angles,

    Therefore, ∠6 ≅ ∠7

    m∠6 = m∠7

    3x + 94 = 9x - 38

    9x - 3x = 94 + 38

    6x = 132

    x = 22

    m∠6 = 3(22) + 94 = 160°

    m∠7 = 9(22) - 38 = 160°

9). Since, ∠2 and ∠3 are the linear pair of angles, both the angles will be supplementary.

    m∠2 + m∠3 = 180°

    (13x + 54) + (2x + 36) = 180°

     15x + 90 = 180°

     15x = 90

     x = 6

     m∠2 = 13(6) + 54 = 132°

     m∠3 = 2(6) + 36 = 48°

Answer:

Step-by-step explanation:

g is f compressed by factor of ¼

Answer:

the first box is proportional but the second is not

thus; y is (4/3)x for the first illustration

Answer:

b

Step-by-step explanation:

Answer:

32 Degrees

Step-by-step explanation:

Thank me later lol

Answer:

i jke it way fi naby qheisghb hjnssg ubg. jgb

Answer:

hgyt67rdjhhrgytr7ugjv. hgehalk4

Step-by-step explanation:

Answer:

3.5/p

Step-by-step explanation:

7/2 = 3.5

Answer:

[tex]\frac{7}{2}[/tex]-p is the equation

Step-by-step explanation:

Answer:

just to help you i dont know the answers but you should hide the link because everyone can  find your location

Answer:

20 mph

Step-by-step explanation:

anyway this was my equation

8/15+52/x=52/x-96

x=156, convert that into hours, which is 2.6, 52/x, which is speed for snail is = 20

I know you're in RSM because I am too. If you need help, asking your teacher is better because they will explain it better.

The speed of the snail is 20 meter per hour

Speed is the ratio of total distance travelled to total time taken. It is given by:

Speed = distance/ time

Let a represent the speed of the the turtle and b the speed of the snail. Hence:

b = a - 32   (1)

Also:

b = 52 / t

t = 52/b

a = 52 / (t + 1.6)

a(t + 1.6) = 52

t = (52 + 1.6a) / a

52/b = 52/a + 1.6

a = 52 meter per hour, b = 20 meter per hour

The speed of the snail is 20 meter per hour

Find out more on Speed at: https://brainly.com/question/4931057

Answer:

6x^5 + 11x^3 - 12x^2 - 10x + 8

Step-by-step explanation:

(-3x^2 + 2) x (-2x^3 - 5x + 4)

Ok, so we need to do an advanced version of FOIL. We need to multiply -3x^2 by the other three numbers, then the same with 2. Then we add up like terms.

-3x^2 x -2x^3 = 6x^5

-3x^2 x -5x = 15x^3

-3x^2 x 4 = -12x^2

Now to do 2 x -----.

2 x -2x^3 = -4x^3

2 x -5x = -10x

2 x 4 = 8

Last, but not least, we combine like terms.

6x^5 + 11x^3 - 12x^2 - 10x + 8

Answer:

2x+y=0

Step-by-step explanation:

Answer:

The answer is D.

Answer:

a

Step-by-step explanation:

Answer:

-0.3333333333

Step-by-step explanation:

Answer:

22-23 I believe

sorry if it's wrong

Answer:

a(n) = 27*(2/3)^(n - 1)

Step-by-step explanation:

The first four terms are 27, 18, 12, 8.

Find the common ratio:

To do this, let that ratio = r, and write and solve 27r = 18.  Thus, r = 2/3.

The general explicit formula for this sequence is

a(n) = a(1)*(2/3)^(n - 1), or, since a(1) = 27, a(n) = 27*(2/3)^(n - 1)

Answer:

10.5miles

Step-by-step explanation:

Answer:

68 i think

Step-by-step explanation:

Step-by-step explanation:

The equation here is,

w° + 124° = 180°

=> w = 180° - 124°

=> w = 56° (Ans)

SOLUTION TO THIS EQUATION

Answer:

D : 10 feet

Step-by-step explanation:

Hello I think I can help with this.

Now how I would do this given a multiple choice question is kind of use brute force with your given answers to find the solution.

So the formula for area is known as (L x W x H)

or (length x width x height)

Lets see what we are given.

We are given the length which is 12

We are also given the width which is 4 1/2

And if we multiply these we can find the surface area of the base of this rectangular prism so lets do that.

12 multiplied by 4 1/2

=

54

Alright so now we know the base of this rectangular prism is 54 ft²

Now we can start the brute force method. So we are trying to find the height in this problem since we already have the width and length and have worked that out. So now all we do is multiply what we found (54) by the possible answers until one of them gives us the answer 540 ft³.

NOW this is actually really easy because we got 54 as our answer to length x width and our total amount of area is 540.

So instead of brute force we can take an easier route and do 540 / 54 and get an easy answer of 10 which is option D :

10 feet

I hope this helps you understand this a bit better!

If you are confused or have any concerns / questions feel free to comment or message me :)

Answer:

Height = 540/(4.5*12) = 10 feet

Step-by-step explanation:

the sum of the measures of the exterior angles of a 32-gon is d. 5400