Read the proof. Given: AB ∥ DE Prove: △ACB ~ △DCE Triangle A B C is shown. Line D E is drawn inside of the triangle and is parallel to side A B. The line forms triangle D C E. We are given AB ∥ DE. Because the lines are parallel and segment CB crosses both lines, we can consider segment CB a transversal of the parallel lines. Angles CED and CBA are corresponding angles of transversal CB and are therefore congruent, so ∠CED ≅ ∠CBA. We can state ∠C ≅ ∠C using the reflexive property. Therefore, △ACB ~ △DCE by the

Answer:

$7 per pound

Step-by-step explanation:

28/4

Answer:

Width of rectangle = 5 cm

Length of rectangle =  17 cm

Step-by-step explanation:

Let the dimensions of rectangle:

Width of rectangle = x

Length of rectangle = 3x+2

Area of rectangle = 85 cm

We need to find dimensions of rectangle i.e length and width.

The formula used is: [tex]Area\:of\:rectangle=Length\times Width[/tex]

Putting values and finding dimensions

[tex]Area\:of\:rectangle=Length\times Width\\85=3x+2 \times x\\85=3x^2+2x\\The\;equation\:will\:be:\\3x^2+2x-85=0[/tex]

Now, finding value of x using quadratic formula:

[tex]x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

We have, a =3, b =2 and c=-85

[tex]x=\frac{-2\pm \sqrt{(2)^2-4(3)(-85)}}{2(3)}\\x=\frac{-2\pm \sqrt{4+1020}}{6}\\x=\frac{-2\pm \sqrt{1024}}{6}\\x=\frac{-2\pm 32}{6}\\x=\frac{-2+ 32}{6}\:or\:x=\frac{-2- 32}{6}\\x=5\:or\:x=-5.6[/tex]

So, we get x = 5 and x = -5.6

But since the width of rectangle cannot be negative so, we would consider x = 5

Now, the dimensions of rectangle will be:

Width of rectangle = x = 5 cm

Length of rectangle = 3x+2 = 3(5) + 2 = 15+2 = 17 cm

Answer:

5.9125in^2

Step-by-step explanation:

Step one:

Given data

Dimension of square= 5.25 in

Area of sqaure= 5.25^2= 27.5625  in^2

We are told that the sides of the circle touch the sides of the square

hence the diameter of the circle is 5.25in

radius= 5.25/2= 2.625 in

Area of  circle= πr^2

Area of circle = 3.142*2.625^2

Area of circle=3.142*6.890625

Area of circle= 21.65 in^2

Step two:

The area that is not inside the circle

=Area of square-Area of circle

=27.5625- 21.65

=5.9125in^2

Answer: The zeroes are -2/3 and 4

Step-by-step explanation: The factored form you get from this is (3x+2) and (x-4), set these equal to 0. x-4=0 and 3x+2=0.

The zeroes of the function in the order from least to greatest will be - 2/3 and 4.

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

The equation is given below.

f(x) = 3x² – 10x – 8

Then the zeroes of the function are given as,

f(x) = 0

3x² – 10x – 8 = 0

3x² – 12x + 2x – 8 = 0

3x(x – 4) + 2(x – 4) = 0

(x – 4)(3x + 2) = 0

x = 4, - 2/3

The zeroes of the function in the order from least to greatest will be - 2/3 and 4.

More about the solution of the equation link is given below.

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Answer:

7.5

Step-by-step explanation:

From the above Question, the equation is given as:

y = 1.6x + 48

Where

x is the shoe size

y is the height, in inches.

What is the approximate shoe size for a man having a height of 60 inches?

This is calculated as:

60 = 1.6x + 48

Collect the like terms

1.6x = 60 - 48

1.6x = 12

We divide both sides by 1.6

x = 12/1.6

x = 7.5

Therefore, the shoe size for a man having the height of 60 inches is 7.5.

Answer:

Fgffg

Step-by-step explanation:

Dogged

Answer:

4 X -11

-44

plz mark as brainliest

Answer:

-44

Step-by-step explanation:

Basically It's like 4x11, but you put a negative sign.

Answer:

$552.50

Step-by-step explanation:

650×.15=97.5

650-97.5=552.5

Answer:show me

Step-by-step explanation:

Answer:

[tex]\dfrac{v-u}{a}[/tex]

Step-by-step explanation:

The given equation should be:

v = u +at ...(1)

Where

u is initial velocity, v is final velocity, a is acceleration and t is time

We need to solve the above equation for t.

Subtract u from both sides.

v-u= u +at -u

v-u=at

Dividing both sides by a.

[tex]\dfrac{v-u}{a}=\dfrac{at}{a}\\\\t=\dfrac{v-u}{a}[/tex]

So, the expression for t is equal to [tex]\dfrac{v-u}{a}[/tex].

Answer:

No.

Step-by-step explanation:

If you substitute x = 2 and y = 3 into the equation, you get 3 = 2 which is not true.

Answer:

Step-by-step explanation:

When we are given a function in this format, we substitute the x value in the equation. F(x) is simply another way of saying y.

if x = -8

6 (2 - -8)

6(10)

60

Answer:

1. 8

2. 16

Step-by-step explanation:

8/4=2

64/4=16

Answer:

The answers are

1. x=8

2. x=16

Answer:

[tex](g - f)(x) = log(x-3)- \sqrt[3]{12x +1} + 2[/tex]

Step-by-step explanation:

Given

[tex]f(x) = \sqrt[3]{12x +1} + 4[/tex]

[tex]g(x) = log(x-3)+6[/tex]

Required

Determine (g - f)(x)

In functions:

[tex](g - f)(x) = g(x) - f(x)[/tex]

So, we have:

[tex](g - f)(x) = log(x-3)+6 - (\sqrt[3]{12x +1} + 4)[/tex]

Open bracket

[tex](g - f)(x) = log(x-3)+6 - \sqrt[3]{12x +1} - 4[/tex]

Collect Like Terms

[tex](g - f)(x) = log(x-3)- \sqrt[3]{12x +1} - 4+6[/tex]

[tex](g - f)(x) = log(x-3)- \sqrt[3]{12x +1} + 2[/tex]

Answer:

[tex]→(g - f)(x) = g(x) - f(x) \\ → (log(x - 3) + 6) - (\sqrt[3]{12x + 1} + 4) \\→ log(x - 3) + 6 - \sqrt[3]{12x + 1} - 4 \\→\boxed{ log(x - 3) - \sqrt[3]{12x + 1} + 2}✓[/tex]

Answer:

c=72

Step-by-step explanation:

8

=

9

8

⋅

8

=

8

⋅

9

Answer:

91

Step-by-step explanation:

For questions like these, you multiply the denominator times what it equals

Like in this case you do 8x9

I hope this helps!

Answer: D) the significance level of the test

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

Explanation:

The significance level of the test, also known as "alpha", is the probability of making a type 1 error. A type 1 error is where you reject the null hypothesis but it was true all along.

The null hypothesis is where we test a certain probability distribution (eg: normal distribution). Specifically we gather a sample of values and compute the test statistic. If the probability of getting that test statistic or more extreme is smaller than alpha, then we reject the null. This probability value is known as the p-value.

If you lower the alpha value, then that will make it more likely you do not reject the null. Consider an example where alpha = 0.10 to start with. If you get a p-value of 0.02, then you would reject the null. The same would apply for alpha = 0.05; however, with alpha = 0.01, the p-value is no longer smaller than alpha. At this point we do not reject the null. Your textbook may use the phrasing "fail to reject the null".

Going in the opposite direction, increasing the alpha value will make it more likely to reject the null. Each time you adjust the alpha value, keep the p-value to some fixed number (between 0 and 1).

The height of the equilateral triangle is 3√3 cm.

Hypothesis testing is a statistical method that is used to make decisions about a population based on a sample of data.

It involves testing a null hypothesis (H0) against an alternative hypothesis (Ha) using statistical techniques.

We have,

To minimize the probability of incorrectly rejecting the null hypothesis in a hypothesis test with a fixed sample size of 40, the statistician can adjust the significance level of the test.

The significance level, denoted by α, is the probability of rejecting the null hypothesis when it is actually true.

By choosing a smaller significance level, the statistician can decrease the probability of making a Type I error (rejecting the null hypothesis when it is actually true).

However, decreasing the significance level also increases the probability of making a Type II error (failing to reject the null hypothesis when it is actually false).

Therefore,

The choice of significance level involves a trade-off between the two types of errors and should be based on the specific context of the problem and the consequences of each type of error.

Now,

The height of an equilateral triangle can be found using the formula:

height = (side length / 2) x √3

The side length = 6 cm

So,

height = (6 / 2) x √3

           = 3√3 cm

Therefore,

The height of the equilateral triangle is 3√3 cm.

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Answer: [tex](y-y_1)=m(x-x_1)\ or \ (y-y_2)=m(y-y_2)[/tex]

Step-by-step explanation:

Point slope form: [tex](y-b)=n(x-a)[/tex] , where n=slope , (a,b) is the point through which line passes.

If slope of the line = m and line passes through [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] :-

[tex](y-y_1)=m(x-x_1)\ or \ (y-y_2)=m(y-y_2)[/tex]

So, the equivalent equations are :

[tex](y-y_1)=m(x-x_1)\ or \ (y-y_2)=m(y-y_2)[/tex]

Answer:

uhhhh 19$

Step-by-step explanation:cuz

Answer:

$20

Step-by-step explanation:

29 + 11 = 40

40 ÷ 2 = 20

Extending answer to be able to send.

Step-by-step explanation:

bdhdhjndnfdndnnskdkdkskdkdkd

....................................................

I'm not sure if it's correct...........

Answer:

$206.25

Step-by-step explanation:

Regular price of item = R= $375

Price after 45% off = (1-0.45) x 375

                               =$ 206.25

Answer:

[tex]8\frac{1}{8}[/tex]

Step-by-step explanation:

[tex]3\frac{1}{8} \times 2 \frac{3}{5}[/tex]

[tex]=\frac{25}{8} \times \frac{13}{5}[/tex]

[tex]=\frac{25\times13}{8\times5}[/tex]

[tex]=\frac{325}{40}[/tex]

[tex]=\frac{325/5}{40/5}[/tex]

[tex]=\frac{65}{8}[/tex]

[tex]=8\frac{1}{8}[/tex]

Hope this helps :)

Answer:

Your answer would be A: "college savings account."

Step-by-step explanation:

Got it right on edge.

College savings account is the option  for college funding can parents start when children are still very young

College financial aid pays for the difference between what a school costs to attend and the amount a family will pay from their own money.

We need to find Which option for college funding can parents start when children are still very young.

Among the two options we have to choose College savings account.

Through this savings plan, you can contribute more than a traditional savings plan and take out the money to pay for college-related expenses without any penalty or tax.

Hence College savings account option  for college funding can parents start when children are still very young

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Answer:

Step-by-step explanation:

CA and CB are perpendicular to OA and OB, so the angles A and B are right angles.

Angles AOB and ACB sum to 180°

Correct option is 2) 44°

Answer:

The height of the hot air balloon is 1514.54 feet approximately.

Step-by-step explanation:

Consider the provided information.

The angle of elevation from the top of a 95-foot tall building to a hot air balloon in the sky is 76. If the horizontal distance between the building and the hot air balloon is 354 feet, find the height of the hot air balloon

The figure is shown below:

Let the height of the balloon is AD, the height of the building is BC.

Draw a line BE parallel to CD.

Therefore, AD=x+95, BC=95 and BE=CD=354 ft

Now in triangle [tex]ABE[/tex].

[tex]\tan\theta=\dfrac{\text{Opp}}{\text{Adj}}[/tex]

[tex]\tan76^{\circ}=\dfrac{AE}{BE}[/tex]

[tex]AE\approx 4.01\times 354[/tex]

[tex]AE\approx 1419.54[/tex]

The height air balloon is 1419.54+95 =1514.54 ft

Hence, the height of the hot air balloon is 1514.54 feet approximately.

Answer:

Head bands: 18.58 inches of fabric

Wrist bands : 8.51 inches of fabric

Step-by-step explanation:

Jillian is making accessories for the soccer team.

For head bands

She uses 761.78 inches of fabric on headbands for 39 players and 2 coaches.

The total number of people = 39 player + 2 coaches = 41 people

Hence:

41 persons = 761.78 inches of fabric

1 person = x

Cross Multiply

41 × x = 761.78 × 1

x = 761.78/48

x = 18.58 inches

For wristbands

She also uses 331.89 inches of fabric on wristbands for just the players.

Number of players = 39 players

Hence:

39 players = 331.89 inches

1 players = x inches

Cross Multiply

39 × x = 1 × 331.89 inches

x = 331.89 inches/39

x = 8.51 inches

Therefore:

18.58 inches of fabric was used for head bands and 8.51 inches of fabrics was used for wristbands.