In parallelogram ABCD shown, point E and F are located on diagonal BD and point G is located on side AB such that GE and CF are perpendicular to BD. Prove: trainge BEG is similar to traingle DFC​

In Parallelogram ABCD Shown, Point E And F Are Located On Diagonal BD And Point G Is Located On Side

Answers

Answer 1

Answer:

Match the Statement number with the Reason number.

Step-by-step explanation:

Statements:

1.GE is perpendicular to BD

CF is perpendicular to BD

2. Angle GED equal 90

Angle DFC equal 90

3. Angle GED is congruent to Angle DFC

4. Angle GBE is congruent to Angle FDC

5. Triangle BEG is similar to DFC

Reasons:

1.Given

2. Definition of perpendicular lines

3. Transitive property

4. Alternate Interior Angles

5. AA Similarity

Answer 2

By satisfying essential conditions for two triangles to be similar, we can say that triangle BEG is similar to triangle DFC.

What is a parallelogram?

A quadrilateral in which opposites sides are equal and parallel. Also, opposite angles are equal to each other.

As we know that AB║ DC

so,∠GBE = ∠CDF (alternate angles)

∠GEB= ∠DFC = 90°

so triangle BEG≈DFC​

Therefore, we can say that triangle BEG is similar to triangle DFC

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Related Questions

what is the median of 72 27 24 11 14 and 12

Answers

Answer: 19

Step-by-step explanation: Since there is no one middle number we have to find the mean of the two middle numbers. Once you find the mean for 24 and 11 you will see that the answer is 19.

Answer:

The median is the middle number in numerical order.

Numerical order - [tex]11,12,14,24,27,72[/tex]

There are 6 numbers.

The median is 19.

What is the factored form of 250x3 − 16?

Answers

Answer:

Step-by-step explanation:

250x^3-16

2(125x^3-8)

2[(5x)^3-(2)^3]

2(5x-3)[(5x)^2+5x*3+(2)^2]

2(5x-3)(25x^2+15x+4)

Chromium 51 is a radioactive substance used in medicine. It has a 1/2 life of 28 days. The equation for its exponential decay model is `y=a(.5)^t/28 If 10 mg is ingested by a patient, how many days before only 8 mg is still emitting radiation?

Answers

Answer:

9 days before only 8 mg is still emitting radiation.

Step-by-step explanation:

The exponential model is:

[tex]y(t) = a(0.5)^{\frac{t}{28}}[/tex]

In which a is y(0), that is, the initial quantity.

10 mg is ingested by a patient

This means that [tex]a = 10[/tex], and thus:

[tex]y(t) = 10(0.5)^{\frac{t}{28}}[/tex]

How many days before only 8 mg is still emitting radiation?

This is t for which y(t) = 8. So

[tex]y(t) = 10(0.5)^{\frac{t}{28}}[/tex]

[tex]8 = 10(0.5)^{\frac{t}{28}}[/tex]

[tex](0.5)^{\frac{t}{28}} = \frac{8}{10}[/tex]

[tex](0.5)^{\frac{t}{28}} = 0.8[/tex]

[tex]\log{(0.5)^{\frac{t}{28}}} = \log{0.8}[/tex]

[tex](\frac{t}{28})\log{0.5} = \log{0.8}[/tex]

[tex]\frac{t}{28} = \frac{\log{0.8}}{\log{0.5}}[/tex]

[tex]t = 28\frac{\log{0.8}}{\log{0.5}}[/tex]

[tex]t = 9[/tex]

9 days before only 8 mg is still emitting radiation.

There was a seller of horses, who sold all his horses to three people. To the first man he sold half of all his horses and a half of a horse. To the second man he sold half of what he had left and a half of a horse. To the third man he again sold half of what was left and a half of a horse. How many horses did he have at first? (No horses were harmed!)

Answers

Answer:

7

Step-by-step explanation:

3RD MAN: 1

2ND MAN: 2

1ST MAN: 4

3rd Man = 1/2+1/2 = 1

2nd Man = 1+1 = 2

1st Man = 2*2 = 4

(5) A sports drink bottle contains 16.9 fluid ounces. Andre drank 80% of the bottle. How many fluid ounces did Andre drink? Show your reasoning.
Your answer

Submit

Answers

13.52 fluid were drunk by Andre

Which expression is equivalent to (3a)-2​

Answers

Answer:

1/9a2

Step-by-step explanation:

I'm not sure if there's supposed to be a list of answers, but 1/9a2 is one. Hope this helps! Let me know if there was supposed to be a list.

Answer:

removing of bracket

Step-by-step explanation:

(3a)-2

3a×(-2)

-6a

thirty 5 points for this answer. no links.
4(a-2) = 2(a-4) + 2a

Answers

Answer:

a = 0

Step-by-step explanation:

4(a-2) = 2(a-4) + 2a

4a - 8 = 2a - 8 + 2a

4a - 2a - 2a = -8 + 8

    0             =    0

This has infinitely many solutions.

Step-by-step explanation:

Any number you put for a would work to make them equal. Feel free to try it.

What are the solutions to the quadratic equation x2-16=0

Answers

Answer:

x = -4, 4

Step-by-step explanation:

Hi there!

[tex]x^2-16=0[/tex]

Rewrite 16:

[tex]x^2-4^2=0[/tex]

The difference of squares rule states that [tex]a^2-b^2=(a+b)(a-b)[/tex]. With this, apply the difference of squares to the equation:

[tex](x+4)(x-4)=0[/tex]

The zero-product property states that if the product of two numbers is 0, then one of the numbers must be equal to zero. Set each term equal to 0 and find the solutions:

[tex]x+4=0\\x=-4[/tex]

[tex]x-4=0\\x=4[/tex]

Therefore, the solutions are -4 and 4.

I hope this helps!


6. Find the area of the segment. (the shaded region)

Answers

There are two pieces we need to find here: the area of the section of the circle, and the area of the triangle.

Area of the section of the circle:

A = pi * r^2

A = pi * 15^2

A = 225pi * 72/360 || We only need this part of the circle, not the whole thing.

A = 45pi

Area of the triangle:

A = 1/2 * a * b * sin(c)

A = 1/2 * 15 * 15 * sin(72)

A = 112.5 * sin(72)

Next, we need to subtract the area of the triangle from the area of the section of the circle.

A = 45pi - (112.5 * sin(72))

A = 112.8165 units^2 -- Feel free to round off wherever you need!

Hope this helps!! :)

If f(x) = 3x + 2 and g(x) = 2x - 2, what is (f - g)(x)?
A. x + 4
B. X-2
O c.
Х
OD.
5x-2
O E.
X-4

Answers

Answer:

option A

Step-by-step explanation:

f(x) = 3x + 2

g(x) = 2x - 2

(f - g)(x) = f(x) - g(x)

           = (3x + 2) - (2x - 2)

           =3x + 2 - 2x + 2

           = x + 4

The value of function (f - g)(x) is,

⇒ (f - g)(x) = x + 4

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

Function are,

f(x) = 3x + 2 and g(x) = 2x - 2

Hence, The value of function (f - g)(x) is,

⇒ (f - g)(x) = (3x + 2) - (2x - 2)

⇒ (f - g)(x) = 3x + 2 - 2x + 2

⇒ (f - g)(x) = x + 4

Thus, The value of function (f - g)(x) is,

⇒ (f - g)(x) = x + 4

Learn more about the function visit:

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#SPJ7

pls help!! correct answer will be marked brainliest

Answers

Answer:

67.7

Step-by-step explanation:

Because it is the exact same as 67.7 angle n is. So it is 67.7 I went over this recently so I understand your pain!

What is the domain of the function y=7x-1

Answers

Answer:

Ahh I did this about a year ago but try math-way (without -) it gives the correct answers sorry I couldn't help more.

Write a sine function that has a midline of 4, an amplitude of 2 and a period of 5
571

Answers

2 sin (2pi/5 x) + 4


50 POINTS !

PLEASE HELP ILL GIVE BRAINLIEST !! EXPLAIN YOUR ANSWER .

FAKE ANSWERS WILL GET REPORTED.

Answers

Answer:

cap it's only 5

Step-by-step explanation:

Answer:

I think she drove 65 mile.

Step-by-step explanation:

I used a piece of paper and drew a triangle. One side 25 and another 60.

Then i used the Pythagorean theorem.

Find the difference when we subtract 38,40,159 from the number formed by reversing its digits.​

Answers

Answer:

5,670,279

Step-by-step explanation:

3,840,159 reversed is, 9,510,483 so, 9,510,483 - 3,840,159 = 5,670,279

I need the work and answers fast

A disc is thrown into the air with an upward velocity of 20 ft/s. It's
height h in feet after t seconds is given by the function h=-16t^2+20t+6.

1. How long will it take the disc to reach the maximum height?

2. What is the maximum height that the disc reaches?

3. How long does it take for the disc to hit the ground?

Thank you

Answers

1

Explanation

It’s correct

8 yd
10 yd
3 yd
Find the volume of the triangular prism.
A. 120 yd
B. 130 yd
C. 240 yd
D. 260 yd

Answers

Answer:

The answer for this question is 240 yd

A survey of nonprofit organizations showed that online fundraising increased in the past year. Based on a random sample of 60 nonprofit organizations, the mean one-time gift donation in the past year was $75, with a standard deviation of $12. If you test the null hypothesis at the 0.05 level of significance, is there evidence that the mean one-time gift donation is greater than $70?

Answers

Answer:

The p-value of the test is 0.001 < 0.05, which means that there is evidence at the 0.05 level of significance that the mean one-time gift donation is greater than $70.

Step-by-step explanation:

Test if the mean one-time gift donation is greater than $70:

At the null hypothesis, we test if it is 70 or less, that is:

[tex]H_0: \mu \leq 70[/tex]

At the alternate hypothesis, we test if it is greater than 70, that is:

[tex]H_1: \mu > 70[/tex]

The test statistic is:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.

70 is tested at the null hypothesis:

This means that [tex]\mu = 70[/tex]

Based on a random sample of 60 nonprofit organizations, the mean one-time gift donation in the past year was $75, with a standard deviation of $12.

This means that [tex]n = 60, X = 75, s = 12[/tex].

Test statistic:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{75 - 70}{\frac{12}{\sqrt{60}}}[/tex]

[tex]t = 3.23[/tex]

P-value of the test:

The p-value of the test is the probability of finding a sample mean above 75, which is a right-tailed test with t = 3.23 and 60 - 1 = 59 degrees of freedom.

Using a t-distribution calculator, this p-value is of 0.001.

The p-value of the test is 0.001 < 0.05, which means that there is evidence at the 0.05 level of significance that the mean one-time gift donation is greater than $70.

Question 1 of 5
Select the correct answer.
Consider functions f and g, where function g is a transformation of function f.



Which statement correctly describes a transformation on the graph of function f to arrive at the graph of function g?


The graph of function f is shifted 3 units to the right.

The midline of function f is shifted 3 units down.

The graph of function f is reflected over the x-axis.

The amplitude of function f is vertically stretched by a factor of 3.

Answers

Answer:

The graph of function f is shifted 3 units to the right.

Step-by-step explanation:

Sample Answer from Edmentum

Answer:

The graph of function f is shifted 3 units to the right.

Step-by-step explanation:

Plato/Edmentum

Which is the m WZY? Need quick answers!!

Answers

Answer:

B. 55°

Step-by-step explanation:

Recall: relationship between inscribed angle and the measure of the intercepted arc [(inscribed angle = ½(intercepted arc)]

Inscribed angle = m<WZY

Intercepted arc = arc WY = 110°

Therefore:

m<WZY = ½110°)

m<WZY = 55°


What combination of transformations is shown below?

Answers

Answer:

translation then rotation

PLEASE HELP IM BEING TIMED

Answers

4,-1 and 0,-2 I THINK

How many Kilometers did they travel by train?

Answers

Answer:

Not 100 percent sure about this one.

Answer: The answer is 800

that’s all you type in 800.

Step-by-step explanation:

Plz help me well mark brainliest if correct...???

Answers

Answer:

D) 225

Step-by-step explanation:

Given in chart. The box at column "Milk Sold" and row "Friday" has the number 225 in it. Cumulative milk sold refers to the total number of milk sold through the entire chart (from top to bottom) so far. The question is asking for how many milks were sold on Friday specifically, so we want the "Milk Sold" column.

Which statements are always true
about ABCD? Select all that apply.

Answers

Answer:

It doesn't show the statements so I'll create some.

Step-by-step explanation:

ABCD make a shape with 2 pairs of parallel lines.

ABCD when broken apart can create 4 triangles

Yoko started an assignment at 8:34 AM and finished it at 9:21 AM.
How long did it take her? Give your answer in minutes.

Answers

Answer:

She started at 8:34 and finished at 9:21, with some simple math.. the answer is 47 minutes

Convert 7 pounds 3 ounces to kilograms.
Conversion ratios:
1 lb = 16 OZ
1 kg = 2.2 lb

Answers

Answer:

3.3

Step-by-step explanation:

7lb 3oz

3oz/16oz=.1875lb

7lb+.1875lb=7.1875lb

7.1875lb/2.2kg=3.27kg

Can someone help me?

Answers

Answer:

look at the explanations

Step-by-step explanation:

part a: the zeros are the two points on the x-axis

           - looks like (0,10) and (0,60)

part b: the zeros represent her minimum profit where she makes 0 dollars

part c: the vertex is the very top of the parabola

          - looks like (35, 12000)

part d: the vertex represents the max amount of profits she makes

If a snowball melts so that its surface area decreases at a rate of 9 cm2/min, find the rate (in cm/min) at which the diameter decreases when the diameter is 10 cm. (Round your answer to three decimal places.)

Answers

Answer:

The diameter decreases at a rate of 0.143cm/min when it is of 10 cm.

Step-by-step explanation:

Surface area of an snowball:

An snowball has spherical format. The surface area of an sphere is given by:

[tex]S = d^2\pi[/tex]

In which d is the diameter of the sphere.

In this question:

We need to differentiate S implicitly in function of time. So

[tex]\frac{dS}{dt} = 2d\pi\frac{dd}{dt}[/tex]

Surface area decreases at a rate of 9 cm2/min

This means that [tex]\frac{dS}{dt} = -9[/tex]

At which the diameter decreases when the diameter is 10 cm?

This is [tex]\frac{dd}{dt}[/tex] when [tex]d = 10[/tex]. So

[tex]\frac{dS}{dt} = 2d\pi\frac{dd}{dt}[/tex]

[tex]-9 = 2(10)\pi\frac{dd}{dt}[/tex]

[tex]\frac{dd}{dt} = -\frac{9}{20\pi}[/tex]

[tex]\frac{dd}{dt} = -0.143[/tex]

Area in cm², so diameter in cm.

The diameter decreases at a rate of 0.143cm/min when it is of 10 cm.

450 high school freshmen were randomly selected for a national survey. Among survey participants, the mean grade-point average (GPA) was 2.96, and the standard deviation was 0.21. What is the margin of error, assuming a 70% confidence level, to the nearest hundredth

Answers

Answer:

The margin of error is of 0.01.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.7}{2} = 0.15[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.15 = 0.85[/tex], so Z = 1.037.

The margin of error is of:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Standard deviation was 0.21.

This means that [tex]\sigma = 0.21[/tex]

Sample of 450:

This means that [tex]n = 450[/tex]

What is the margin of error, assuming a 70% confidence level, to the nearest hundredth?

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]M = 1.037\frac{0.21}{\sqrt{450}}[/tex]

[tex]M = 0.01[/tex]

The margin of error is of 0.01.

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