4(x – 1) < 20 and x + 6 > 9

Answer:

∠ACB= ∠ AED=90°

Step-by-step explanation:

In Δ AB C and Δ A E D

1.≡∠AB C= ∠ A E D→→→[Each being 90°]

2.≡ B C= E D →→[Given]

3. ≡ ∠A CB = ∠ A DE →[Given]

⇒Δ AB C ≅ Δ A E D [By S AS]

≡∠ A B C and ∠ A E D, are congruent right angles.

In the Diagram given

∠ACB= ∠ AED=90°

Answer:

Hi! Your answer should be A. <CBA ≈ <DEA

Step-by-step explanation:

<CBA and <DEA is the pair of congruent right angles. <CBA includes a right angle and <DEA includes a right angle, so those just make the most sense. Hope this helps!

Answer:

(A) 1

Step-by-step explanation:

We know that the formula is x = (m/m+n) (x2-x1) + x1.

But the trick to the question which is why everyone is getting it wrong is because it asks for F to D not D to F.

The reason everyone else was getting 4 was because they were using this.

They solved the equation x = (8/8+5) (9-[-4]) -4 where it was D to F. This equation does turn out to be 4 but it is incorrect.

However, the correct equation (because it is supposed to be F to D) is

x = (8/8+5) (-4 -9) +9 which is in fact equal to 1.

I also just took the quiz and got 100%.

PRESS THAT THANKS BUTTON!!!

Answer:

The probability of choosing a heart, P(Heart) = 13/52 = 0.25

Step-by-step explanation:

Answer:

A = 90.25 pi ft^2

Step-by-step explanation:

The circumference is given by

C = 2 * pi* r

19pi = 2 * pi * r

Divide each side by 2pi

19pi/2pi = 2 * pi *r/2pi

9.5 = r

Now find the area

A = pi r^2

A = pi ( 9.5)^2

A = 90.25 pi ft^2

Answer:

Step-by-step explanation:

Circumference is found in

[tex]C=2\pi r[/tex] while area is [tex]A=\pi r^2[/tex]

Since we know the circumference value, we can plug it in and solve for r:

Since [tex]C=2\pi r[/tex] and [tex]C=19\pi[/tex] , then

[tex]19\pi=2\pi r[/tex] and

[tex]\frac{19\pi}{2\pi}=r[/tex] The pi's cancel out, leaving us with the fact that

[tex]r=\frac{19}{2}=9.5[/tex]

We will use that now in the area formula:

[tex]A=\pi(9.5)^2[/tex] so

A = 90.25π

Answer:

Step-by-step explanation:

If F and H are midpoints of sides of rectangle then FH is parallel to the other side of rectangle so FH is perpendicular to the EG. That means the lenght of FH is equal to lenght of rectangle, and the lenght of EG is equal to width of rectangle.

So the area of the rectangle:  [tex]A_{rectangle}=EG\cdot FH[/tex]

FH ⊥ EG so the area of quadrangle EFGH:

[tex]A_{_{EFGH}}=\frac12EG\cdot FH=\frac12A_{rectangle}[/tex]

no matter the location of segment EG

The area of EFGH is always One-half of the area of the rectangle.

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

We have given that;

the kite EFGH is inscribed in a triangle and F and H are midpoints and EG is parallel to the side of rectangle.

The kite consists of 2 triangle that are EFG and EHG.

Now,

In a triangle EFG is,

= 1/2 x EG x h......(1)

where h is the height from F to EG

Also the area of EHG:

= 1/2 x EG x h₁

where is the height from H to EG

We also know that h₁ + h is the width of the rectangle and EG is the length of the rectangles.

Area of Kite = = 1/2 x EG x h + 1/2 x EG x h₁

Also, The area of a rectangle is rectangle length × rectangle width.

Thus, The Kite EFGH is inscribed in a rectangle such that F and H are midpoints and EG is parallel to the side of the rectangle.

Hence, The statement describes how the location of segment EG affects the area of EFGH is the area of EFGH is always One-half of the area of the rectangle.

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Answer:

71

Step-by-step explanation:

I am only able to really help with the first part of this question. I am very sorry about that!

Lets take a look at the sequence!

It starts with 3 and then goes to 7. Which means it is adding 4 each time it continues. To confirm this, lets look at 11. 7 goes to 11, which again means it is adding 4! So we understand and now the pattern!

Rather than doing a buttload of work, lets do it an easier way. Lets plug 18 into a  calculator!

If you have one, all you need to do is add 3 plus 4. Then plus for again. That should start a ripple effect if you press enter. On the 18 term it would be 71!

Hope that helped.

Answer:

The answer is below

Step-by-step explanation:

Given that:

Mean (μ) = 1.93, standard deviation (σ) = 1.08 pounds, sample (n) = 62.

the mean weight of discarded plastic for all household is given by:

[tex]\mu_x=\mu = 1.93\ pounds[/tex]

The standard deviation of discarded plastic for all household is given by:

[tex]\sigma_x=\frac{\sigma}{\sqrt{n} } =\frac{1.08}{\sqrt{62} }=0.137\ pounds[/tex]

The confidence (c) = 90% = 0.9

α = 1 - c = 1 - 0.9 = 0.1

α/2= 0.1/2 = 0.05

The z score of 0.05 corresponds to the z score of 0.45 (0.5 - 0.05) which is 1.645. i.e. [tex]z_\frac{\alpha}{2}=z_{0.05}=1.645[/tex]

The margin of error (E) = [tex]z_{0.05}\frac{\sigma}{\sqrt{n} }=1.645*\frac{1.03}{\sqrt{62} }= 0.2256[/tex]

The confidence interval = [tex]\mu \pm E=1.93 \pm 0.2256=(1.7044,2.1556)[/tex]

We are 90% confidence that the value is between 1,7044 and 2.1556

Answer:

                 [tex]\bold{m=-\dfrac23}[/tex]

Step-by-step explanation:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}\\\\(-9,\,5)\ \implies\ x_1=-9\,,\ y_1=5\\(6,\,-5)\ \implies\ x_2=6\,,\ y_2=-5\\\\m=\dfrac{-5-5}{6-(-9)}=\dfrac{-10}{6+9}=-\dfrac{10}{15}=-\dfrac23[/tex]

The true statements are:

(a) J is supplementary to K

(e) KL is parallel to JM

A trapezoid has a pair of parallel sides and non-parallel sides.

The angles at the adjacent points of a trapezoid add up to 180 degrees

This means that:

J + K = 180 --- supplementary angles

M + L = 180 --- supplementary angles

The above highlights mean that: J and K are supplementary angles

Hence, (a) is true

Also, a trapezoid has a pair of parallel sides

Because lines KL and JM are horizontal lines, then they must be parallel to one another.

The above highlight means that: Lines KL and JM are parallel lines.

Hence, (e) is true

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The Lewis family and the Perry family each used their sprinklers last summer. The water output rate for the Lewis family's sprinkler was 15 L per hour. The water output rate for the Perry family's sprinkler was 40 L per hour. The families used their sprinklers for a combined total of 65 hours, resulting in a total water output of 1850 L . How long was each sprinkler used

Answer:

Hours of use of sprinkler by Lewis family is 30 hours.

Hours of use of sprinkler by Perry family is 35 hours.

Step-by-step explanation:

Let W = hours of use by Lewis family

65 - W = hours of use by Perry family

Then;

15W + 40*(65 - W) = 1850

15W + 2600 - 40W = 1850

(15 - 40)W = 1850 - 2600

-25W = −750

W = 750/25 = 30

Therefore;

W = 30

65 - W = 65 - 30 = 35

Hence,

Hours of use by Lewis family is 30 hours.

Hours of use by Perry family is 35 hours.

Answer:

8

Step-by-step explanation:

BD is 32 units.

BE is half of BD

3x - 8 = 32/2

3x - 8 = 16

3x = 16 + 8

3x = 24

3/3x = 24/3

x = 8

Answer:

Solution,

Diagonals of rectangle bisects each other.so,

2 BE = BD

2( 3x - 8 ) = 32

6x - 16 = 32

Add 16 on both sides

6x - 16 + 16 = 32 + 16

Simplify

6x = 48

divide both sides of equation by 6

6x/6 = 48/6

calculate

X = 8

Hope this helps...

Good luck on your assignment..

answer

f(x)= 3x

= 3×-2 = -6

D. -6

Answer:

c

Step-by-step explanation:

Answer:

Both a relation and a function

Step-by-step explanation:

Replicates itself every 14 minutes, which is exponential function

Point (-3, 0) is required solution to the inequality. Hence option B. is correct.

Inequality can be define as the relation of equation contains the symbol of ( ≤, ≥, <, >) instead of equal sign in an equation.

As from graph,
The inequality can be define as -[tex]y > \frac{4}{3}x+4[/tex]
And the point(-3, 0) lies on the boundary line.
Which gives the solution to the given inequality.

Thus, point (-3, 0) is required solution to the inequality.

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Answer:

Solution,

[tex]volume = (8 \times 5 \times 5) + (5 \times 6 \times 3) \\ \: \: \: \: \: \: \: \: \: \: \: \: = 200 + 90 \\ \: \: \: \: \: \: \: \: \: = 290 \: {m}^{3} [/tex]

Hope this helps..

Good luck on your assignment..

Answer:

[tex]y=\frac{5}{6}x+5[/tex]

Step-by-step explanation:

Well this is actually really simple we just have to look at the line and see what attributes it has so we can make an equation.

So slope intercept form is [tex]y=mx+b[/tex].

Like to find the y intercept we know it is the point that the line touches the y axis which is 5.

Now for the slope, the slope is how far each points are from each other on a line so to find the slope we can use the following formula [tex]\frac{y^2-y^1}{x^2-x^1}[/tex].

So to do this we need two points that are on the line we can use (-6,0) and (6,10).

So y2 is 10 and y1 is 0 so 10-0 is 10 and 6 - -6 is 12 so the slope is 10/12 and we have to simplify it to 5/6 so the slope is 5/6 and now we have to put it in slope intercept -> [tex]y=\frac{5}{6}x+5[/tex]

Answer:

1. 3511

2 B= 0.25

Step-by-step explanation:

1. The number of single scoop cone is represented as s while the number of double scoop cone is represented as d. The total number of scoop cone the coach bought is 15 and the total sum is 57 dollars .

Therefore, multiply the number of single scoop cone(s) by each price and also find the product of the number of double cone(d) and the price of each . Then add the result to get 57 dollars. Therefore, A = 3 dollars and B = 5 dollars. The sum of s and d will give 15 . Therefore, C and E is equals to 1.

2. s is the number of small candies while l is the number of big candies. The individual cost of the small candies and the large candies are in cents so we have to convert them to dollars.

Cost of each small candies = 10/100 = 0.1 dollars

Cost of each large candies = 25/100 = 0.25 dollars.

Therefore, using the same principle as number 1

A = 0.1 dollars

B = 0.25 dollars

The value of E = 52

Answer:

y = - x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

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

with (x₁, y₁ ) = (- 2, 5) and (x₂, y₂ ) = (4, - 1)

m = [tex]\frac{-1-5}{4+2}[/tex] = [tex]\frac{-6}{6}[/tex] = - 1, thus

y = - x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (4, - 1 ), then

- 1 = - 4 + c ⇒ c = - 1 + 4 = 3

y = - x + 3 ← equation of line

Answer:

The evaluated answer to this equation is 19.

Step-by-step explanation:

2r² + 3s³ - r² + 4t² - r²

In the problem, we are given values for the variables in the equation.

r = -2

s = -3

t = 5

Let's plug these numbers into the equation.

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

First, simplify the exponents.

2(4) + 3(-27) - (4) + 4(25) - (4)

Next, multiply the numbers starting from left to right.

8 + (-81) - 4 + 100 - 4

Add 8 and -81 together.

-73 - 4 + 100 - 4

Subtract 4 from -73.

-77 + 100 - 4

Add -77 to 100.

23 - 4

Subtract 4 from 23.

19

So, your final simplified answer to this equation is 19.

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

Lynn is making custom bricks. She combines 39 pounds of water and 48 pounds of brick dust in a mixing bucket. She spills 13 pounds of the mixture while stirring the contents. The mixture is then poured into small dirt holes to make bricks. Each brick requires 7 pounds of mixture, and the leftover mixture is washed out of the mixing bucket.

What is the greatest number of bricks Lynn can make?  

How many pounds of mixture will be washed out of the bucket if Lynn makes the greatest  number of bricks?

Answer:

Greatest number of bricks = 70

Washed out mixture = 4 pounds

Therefore, Lynn can make at most 70 bricks and 4 pounds of mixture will be washed out if she makes 70 bricks.

Step-by-step explanation:

She combines 39 pounds of water and 48 pounds of brick dust in a mixing bucket.

Amount of mixture = 39 pounds of water + 48 pounds of brick dust

Amount of mixture = 87 pounds

She spills 13 pounds of the mixture while stirring the contents.

Amount of mixture left = 87 pounds - 13 pounds

Amount of mixture left = 74 pounds

Each brick requires 7 pounds of mixture

What is the greatest number of bricks Lynn can make?  

Greatest number of bricks = 7×10

Greatest number of bricks = 70

How many pounds of mixture will be washed out of the bucket if Lynn makes the greatest  number of bricks?

Washed out mixture = 74 pounds - 70 pounds

Washed out mixture = 4 pounds

Therefore, Lynn can make at most 70 bricks and 4 pounds of mixture will be washed out if she makes 70 bricks.

Answer:

x = arcsin 0.591 = 0.632 radian or 36.21 degrees

Step-by-step explanation:

Angle x and the sides 13 and 22 cm are related through the sine function as follows:

            opposite side      13 cm

sin x = ---------------------- = ------------- = 0.591

              hypotenuse         22 cm

Now find x using the inverse sine function:

x = arcsin 0.591 = 0.632 radian or 36.21 degrees

Answer:

Solution,

Perpendicular = AB

hypotenuse = AC

we know that,

[tex]sin \: theta = \frac{perpendicular}{hypotenuse} [/tex]

[tex]sin \: x \: = \frac{ab}{ac} [/tex]

[tex]x = {sin}^{ - 1} \frac{13}{22} [/tex]

[tex]x = 36.22[/tex]

Hope this helps...

Answer:

As you had problem in the last answer so I think this is the actual question and the solution according to it.

Answer:

  x - y = 2   and   x + 2y = -2

Step-by-step explanation:

Since you have the graph, you can easily see that the point of interest is nearest the intersection of the orange and pink lines.

__

Recognizing that the intercepts of a line in standard form are ...

  ax +by =c

  x-intercept: c/a

  y-intercept: c/b

You can easily determine the corresponding intercepts for the given lines. We can tell from the graph that we only need to know what the y-intercept is in order to match the equation to the line. Here are the y-intercepts:

The system of equations with the desired solution is ...

  x -y = 2  and  x +2y = -2

Answer:

A: x-y= 2 and x+2y= -2

Step-by-step explanation:

I got it right on Edge 2020

Answer:

it is A or the first one

Step-by-step explanation:

The graph represents the system y = 1/2x + 3 and y = 3/2x - 1 is the lines and passes by (0, 3) and (4, 5), Option A.

Two equation of lines is  given y = 1/2x + 3 and y = 3/2x - 1.
A graph to be identified showing the coordinate.

A line can be defined by a shortest distance between two points is called as a line.

Here, slope of equations of lines y = 1/2x + 3 and y = 3/2x - 1 are 1/2 and 3/2 and intercept is 3 and -1 now matching this with option we identified option A contains both the lines and passes by (0, 3) and (4, 5).

Thus, The graph represents the system  y = 1/2x + 3 and y = 3/2x - 1 is the lines and passes by (0, 3) and (4, 5) ,Option A.  

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Answer:

a) The amplitud of the plain wave is 25, b) The wave length of the plain wave is [tex]\frac{\pi}{2}[/tex], c) The frequency of the plain wave is [tex]\frac{\pi}{60}[/tex], d) The speed of propagation of the plain wave is 0.082.

Step-by-step explanation:

A plain wave is modelled after the following mathematical model as a function of time and horizontal position. That is:

[tex]y(t, x) = A \cdot \sin (\omega\cdot t - \frac{2\pi}{\lambda}\cdot x)[/tex]

Where:

[tex]y(t, x)[/tex] - Vertical position wave with respect to position of equilibrium, dimensionless.

[tex]A[/tex] - Amplitude, dimensionless.

[tex]\omega[/tex] - Angular frequency, dimensionless.

[tex]\lambda[/tex] - Wave length, dimensionless.

After comparing this expression with the equation described on statement, the following information is obtained:

[tex]A = 25[/tex], [tex]\omega = 120[/tex] and [tex]\frac{2\pi}{\lambda} = 4[/tex]

a) The amplitude of the plain wave is 25.

b) The wave length associated with the plain wave is found after some algebraic handling:

[tex]\frac{2\pi}{\lambda} = 4[/tex]

[tex]\lambda = \frac{\pi}{2}[/tex]

The wave length of the plain wave is [tex]\frac{\pi}{2}[/tex].

c) The frequency can be calculated in term of angular frequency, that is:

[tex]f = \frac{2\pi}{\omega}[/tex]

Where [tex]f[/tex] is the frequency of the plain wave.

If [tex]\omega = 120[/tex], then:

[tex]f = \frac{2\pi}{120}[/tex]

[tex]f = \frac{\pi}{60}[/tex]

The frequency of the plain wave is [tex]\frac{\pi}{60}[/tex].

d) The speed of propagation is equal to the product of wave length and frequency:

[tex]v = \lambda \cdot f[/tex]

Given that [tex]\lambda = \frac{\pi}{2}[/tex] and [tex]f = \frac{\pi}{60}[/tex], the speed of propagation is:

[tex]v = \left(\frac{\pi}{2} \right)\cdot \left(\frac{\pi}{60} \right)[/tex]

[tex]v \approx 0.082[/tex]

The speed of propagation of the plain wave is 0.082.

Answer:

d

Step-by-step explanation:

the answer would be (x-2)(x+2)

Answer:

(2, 0)

Step-by-step explanation:

y = x - 2

y = x² - 3x + 2

Since both equations equal y, you can set the equations equal to each other.

x - 2 = x² - 3x + 2

x = x² - 3x + 4

0 = x² - 4x + 4

0 = (x - 2)(x - 2)

x - 2 = 0

x = 2

Now that you have an x-value, solve for y.

y = x - 2

y = 2 - 2

y = 0

The solution is (2, 0).

Answer:

c = 6√2 cm

Step-by-step explanation:

a² + b² = c²

6² + 6² = c²

36 + 36 = c²

108 = c²

c = ± √108 = ± 6√2

Since the side length of a triangle can't be negative, c = -6√2 is an extraneous solution; therefore the answer is c = 6√2.

Answer:

72 cm or 6 square root of 2

Step-by-step explanation:

a^2+b^2=c^2

6^2+6^2=c^2

36+36=72

c= 72 cm.  or 6 square root of 2

hope this helps.

Answer:

CPCTC

Step-by-step explanation:

You already proved that triangle BAD is congruent to CAD, this means that all of the corresponding angles and sides with be congruent (CPCTC). That means BD is congruent to CD. Hope this helps!

Answer: 20 friends

Step-by-step explanation:

47 - 7 = 40

40 ÷ 2 = 20

Just to double check, 2 x 20 = 40 + 7 balls left over = 47