PLS PLS HELP!!!! Write and solve an inequality to find the possible values or x if the area of the
rectangle is < 56 feet squared.
2 ft
(3x + 4) ft

Answer:

The length of segment [tex]\overline{DO}[/tex] is [tex]\displaystyle \frac{24}{5}[/tex].

Step-by-step explanation:

Start by verifying that [tex]\triangle DAB \sim \triangle MEB[/tex], and that [tex]\triangle DOA \sim \triangle BOC[/tex].

Both [tex]\triangle DAB[/tex] and [tex]\triangle MEB[/tex] contain the angle [tex]\angle DBA[/tex]. Hence, another pair of equal angles will be sufficient to prove [tex]\triangle DAB \sim \triangle MEB[/tex] by the angle-angle similarity postulate.

Notice that because [tex]\overline{AD} \; \| \; \overline{EF}[/tex], the corresponding angles next to those two lines would be equal: [tex]\angle MEB = \angle DAB[/tex]. Both [tex]\angle MEB[/tex] is in [tex]\rm \triangle MEB[/tex] whereas [tex]\angle DAB[/tex] is in [tex]\triangle DAB[/tex].

Hence, [tex]\triangle DAB \sim \triangle MEB[/tex] by the angle-angle similarity postulate.

Notice how [tex]\angle DOA[/tex] in [tex]\triangle DOA[/tex] and [tex]\angle BOC[/tex] in [tex]\triangle BOC[/tex] are two vertically opposite angles (and are thus equal to one another.) That is: [tex]\angle DOA = \angle BOC[/tex].

Because [tex]\overline{AD} \| \overline{BC}[/tex], the alternate interior angles [tex]\angle DAO[/tex] and [tex]\angle BCO[/tex] are also equal to one another. That is: [tex]\angle DAO = \angle BCO[/tex]

Hence, [tex]\triangle DOA \sim \triangle BOC[/tex], also by the angle-angle similarity postulate.

Notice that [tex]\triangle DAB \sim \triangle MEB[/tex] implies that:[tex]\begin{aligned} & \frac{\left| \overline{BM} \right|}{\left| \overline{BD} \right|} \\ &= \frac{\left|\overline{EB}\right|}{\left|\overline{AB}\right|} && (\triangle MEB \sim \triangle DAB) \\ &= \frac{\left|\overline{EB}\right|}{\left|\overline{AE}\right| + \left|\overline{EB}\right|} \\ &= \frac{\left|\overline{EB}\right|}{2\, \left|\overline{EB}\right| + \left|\overline{EB}\right|} && (\text{given that $\left|\overline{AB}\right| = 2\,\left|\overline{EB}\right|$})\\ &= \frac{1}{3}\end{aligned}[/tex].

Therefore:

[tex]\begin{aligned}&\left|\overline{BD}\right|\\ &= 3\, \left|\overline{BM}\right| \\ &= 12\end{aligned}[/tex].

Similarly, [tex]\triangle DOA \sim \triangle BOC[/tex] implies that:

[tex]\begin{aligned} \frac{\left| \overline{DO} \right|}{\left| \overline{BO} \right|} &= \frac{\left|\overline{AD}\right|}{\left|\overline{BC}\right|} && (\triangle DOA \sim \triangle BOC) \\ &= \frac{6}{9} = \frac{2}{3}\end{aligned}[/tex].

Therefore, [tex]\displaystyle \left|\overline{BO}\right|= \frac{3}{2}\, \left|\overline{DO}\right|[/tex].

[tex]\begin{aligned} \frac{\left| \overline{DO} \right|}{\left| \overline{BD} \right|} &= \frac{\left| \overline{DO} \right|}{\left| \overline{BO} \right| + \left| \overline{DO} \right|} \\ &= \frac{\left| \overline{DO} \right|}{(3/2)\, \left| \overline{DO} \right| + \left| \overline{DO} \right|} = \frac{2}{5}\end{aligned}[/tex].

It was already found that [tex]\left|\overline{BD}\right| = 12[/tex]. Therefore:

[tex]\displaystyle \left|\overline{DO}\right| = \frac{2}{5}\, \left|\overline{BD}\right| = \frac{24}{5} = 4.8[/tex].

Answer:

Period = pi

Angular frequency = 2

Amplitude = 5

Midline is the line y = 3

Step-by-step explanation:

A sinusoidal wave is written in the general form as:

f(x) = A*cos(w*x) + C

Where:

- A is the amplitude.

- w is the angular frequency, this is equal to 2*pi/T

  where T is the period.

- y = C is the midline.

Then in the equation:

f(x) = 5*cos(2*x) + 3

- 5 is the amplitude.

- 2 is the angular frequency (in the image is called frequency, but this quantity must be in radians/time, while the normal frequency is only in Hz)

- We know that the angular frequency is equal to 2*pi/T, whit this eqation we can find the period:

2 = 2*pi/T

T = 2*pi/2 = pi

pi is the period.

- y = 3 is the midline.

Answer:

y=-x-7

Step-by-step explanation:

So the line goes down one unit for every unit it goes to the left.

Slope is rise over run which would be -1/1 (simplify to -1)

The line crosses the y axis at -7

So to put it in slope-intercept form (y=mx+b) it would be y=-1x-7

You don't have to include the one in -1x because its the same as saying -x

Answer: 20-w33

Step-by-step explanation:

So easy yaar! SO. EASY!

Just find the slope by connecting the megapixel by the hardrive!

Then calculate the cheese fromage from the stroop waffle, simply add the chemistry hypothecary theory, and your're set!

Don't forget to comma the C's and capitalize the G's!

Its a weird problem but I think u should use formula:

(a+b)^2=a^2+2ab+b^2

5(q+p+3)=5q+15+5p=(√5q+√5p)^2

it is only thing u can do.

Answer:

346 ounces

Step-by-step explanation:

17.3 times 20

Answer: 2 :))

Step-by-step explanation: hope you also have a good day!!

Answer:

the correct answer would be 2

Step-by-step explanation:

have a good day also

Answer:

-2a+3b...............

Answer:

the answer is 3.1

Step-by-step explanation:

Answer:

point zero zero three eight three

Answer: three thousandths

Step-by-step explanation:

hope this helped

Answer:

x<6

Step-by-step explanation:

Answer:

-98

Step-by-step explanation:

if you read movies then when you go grocery shopping your cousin will be your brother and thats why cheese is the best fruit even made by jeff bezos

Answer: 16,000 litres

Step-by-step explanation:

1/16 of the pool is 2000l

8/16 full is 1/2 of the pool full

1/16 = 2000

8/16 = x

Cross multiply

1/16x = 2000 × 8/16

1/16x = 1000

Multiply both sides by 16

x = 16000

To make the pool half full, 16,000 litres is required.

16000 liters of water is required to make the pool half full.

Proportions are defined as the concept where two or more ratios are set to be equal to each other.

Suppose we have two ratio p : q and r : s.

If both these ratios are proportional, then we can write it as p: q : : r : s.

This is same as p : q = r : s or p/q = r/s

Given that,

A swimming pool containing 2000l of water is 1/16 full.

We have to calculate the amount of water required to make the pool half full.

Let x be the liter of water required to make the pool half full.

Using proportional concept,

2000 : 1/16 = x : 1/2

This can be written as,

2000 / (1/16) = x / (1/2)

2000 × 16 = 2 x

x = (2000 × 16) / 2

x = 16000

Hence it would require 16000 liters of water to make half full pool.

To learn more about Proportions, click on the link :

https://brainly.com/question/26974513

#SPJ2

Answer:

18 hope this makes sense

Step-by-step explanation:

2 and exponent =4 bc exponents make it multiply the same number again how ever many times is there. so it's

4 x 5 - (4 - 2)

4 x 5 - 2

20 - 2 = 18

Answer:

18

Step-by-step explanation:

Do parenthesis and get 2, then 4 x 5=20 then 20 -2= 18.

Answer:

A is 3 B is 4 and C is 2

Step-by-step explanation:

this is most likely right unless your usong a diffrent formula

Answer:

2xy+xz-7x

Step-by-step explanation:

Answer:

2yx + xz - 7x

Step-by-step explanation:

x(2y + z - 7)

distribute

(x * 2y) + (x * z) + (x * -7)

2yx + (x * z) + (x * -7)

2yx + xz + (x * -7)

2yx + xz + -7x

2yx + xz - 7x

Answer:

14.4494397919

Step-by-step explanation:

Answer:

I believe the answer is 0.3

Answer:

0.3

Step-by-step explanation:

Answer: 37

Step-by-step explanation:

Answer:

37

Step-by-step explanation:

Answer:

4 small blocks

Step-by-step explanation:

Answer:

75

Step-by-step explanation:

6(10)+15

60+15

Answer:

75

Step-by-step explanation:

Substitution:

6a+15                    (a=10)

6*10+15

60+15

75

Answer:

The answer is B.

Step-by-step explanation:

Counted 8 down and 5 to the right.

Answer:

The Joey is older as he is 13 years and 5 months old

Also the difference is of 2 months 8 days approx

Step-by-step explanation:

The computation is shown below:

Given that

Joey is 13 years and 5 months old

And his friend Suzy is 4,860 days old i.e. 13 years and 3 months old + 22 days

So as we can see that

The Joey is older as he is 13 years and 5 months old

Also the difference is of 2 months 8 days approx

So the same is to be considered and relevant

Answer:-15 13/15

Step-by-step explanation:2 4/5× -5 2/3=14/5 ×-17/3=-238/15

Step-by-step explanation:

Matrix budgeting is a model developed to evaluate where your additional money goes or should go, and it helps to manage personal finances. Also called as a budget matrix, it's a plan or a blueprint in chart or table form designed to allocate financial resources in the ranking order of your goals and priorities.

Answer:

The indifference point is 2.1 hours.

Step-by-step explanation:

First, we need to calculate the total cost for each option:

Dealership:

Total cost= 24 + 99x

Local mechanic:

Total cost= 45 + 89x

x= number of hours

Now, we need to equal both formulas and isolate x:

24 + 99x = 45 + 89x

10x = 21

x= 2.1

The indifference point is 2.1 hours.

Prove:

Total cost= 24 + 99*2.1= $231.9

Total cost= 45 + 89*2.1= $231.9

Answer33 percent

Step-by-step explanation:

just subtract 68 from 100

Answer:

32

Step-by-step explanation:

100-68 =32 hope this will help u

Answer:

Step-by-step explanation:

1) (-6 , 2) ; (3 , -5)

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

         [tex]= \frac{-5-2}{3-[-6]}\\\\= \frac{-5-2}{3+6}\\\\= \frac{-7}{9}\\[/tex]

m = -7/9 ; (-6 , 2)

y - y₁ = m(x -x₁)

y - 2 = (-7/9)(x - [-6])

[tex]y - 2 = \frac{-7}{9}(x + 6)\\\\y -2 = \frac{-7}{9}x + \frac{-7}{9}*6\\\\y - 2 = \frac{-7}{9}x - \frac{7*2}{3}\\\\ y = \frac{-7}{9}x - \frac{14}{3} + 2\\\\y = \frac{-7}{9}x -\frac{14}{3} + \frac{2*3}{1*3}\\\\y = \frac{-7}{9}x - \frac{14}{3} + \frac{6}{3}\\\\y = \frac{-7}{9}x - \frac{8}{3}[/tex]

2) (3 , -4) ; m= 3

[tex]y - y_{1} = m(x - x_{1}[/tex])

y - [-4] = 3(x - 3)

y + 4 = 3x - 3*3

y + 4 = 3x  - 9

     y = 3x - 9 - 4

Ans: y = 3x - 13

3) m = 2 ; y-intercept (b) = 3/2

     y = mx + b

  Ans: y = 2x + (3/2)

4) (-1, 3 ) ;  (2 , 0)

Slope = [tex]\frac{0 - 3}{2-[-1]}[/tex]

         [tex]= \frac{-3}{2+1}\\\\= \frac{-3}{3}\\\\= 1[/tex]

m = 1; ( -1 , 3)

y - 3 = 1(x -[-1])

y - 3 = 1(x + 1)

y - 3 = x + 1

    y = x + 1 + 3

  Ans: y = x + 4

5)(2, 1) ;m = -3

y - 1 = (-3)(x - 2)

y - 1 = -3x + 6

   y = -3x + 6 +1

Ans: y = -3x + 7

Step-by-step explanation:

1) (-6 , 2) ; (3 , -5)

Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

x

2

−x

1

y

2

−y

1

\begin{gathered}= \frac{-5-2}{3-[-6]}\\\\= \frac{-5-2}{3+6}\\\\= \frac{-7}{9}\\\end{gathered}

=

3−[−6]

−5−2

=

3+6

−5−2

=

9

−7

m = -7/9 ; (-6 , 2)

y - y₁ = m(x -x₁)

y - 2 = (-7/9)(x - [-6])

Answer:

-3

Step-by-step explanation:

subtract 6 by both sides

then divide by -2

Answer:

Step-by-step explanation:

Answer: 10

Step-by-step explanation: