What proves angle BDE is congruent to CDE. ∆ADB and ∆ADC are congruent.

What Proves Angle BDE Is Congruent To CDE. ADB And ADC Are Congruent.

Answers

Answer 1

Answer: We will use the SAS (SIDE-ANGLE-SIDE) to prove that the two triangles are congruent.  This states that if two sides and the included angle in one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

First line

First column: AB is congruent to CB      Second column: Given

Second line

First column: angle ABD is congruent to angle CBD      Second column: Given

At this point we have the  SIDE-ANGLE portion of SAS.  We just need the other side.  We can see from the given angles that they both share a side...BD.

Third Line

First column: BD is congruent to BD     Second column: Reflexive property

All that is left is to state SAS.

Fourth Line

First Column:  Triangle ABD is congruent to triangle CBD     Second column: SAS (from lines 1,2,3)


Related Questions

X=8

THE DIRECTIONS ARE ON THE TOP

Answers

Answer:

y = 40

Step-by-step explanation:

For #7, we are told that y = 10 when x = 2

We are also told that 'y varies directly as x'. That means there is some constant number, k, so that

Formula -->  y = kx

Since y=10 and x= 2, we substitute those numbers into the formula.

We get 10 = k × 2.  

So k has to be 5, right?

k = 5

So what is y when x = 8?

Use the formula.

y=kx ---> That gives us y = k × 8. But we know k is 5.

                                 So y = 5 × 8 = 40

                                       y = 40

9514 1404 393

Answer:

  7. y = 5x; y = 40

  8. y = 1/3x; y = 8/3

Step-by-step explanation:

In the direct proportion equation y=kx, the value of k can be found as ...

  k = y/x . . . . . divide both sides by x to solve for k

__

7. k = 10/2 = 5

The equation is ...

  y = 5x

For x=8, the value of y is found using the equation:

  y = 5(8) = 40

__

8. Same deal, different numbers.

  k = 6/18 = 1/3

  y = 1/3x . . . . . the equation

  y = 8/3 . . . . . y for x=8

Can somebody please help me with this question

Answers

Answer:

An event can have a probability of 3/2  is not true

Step-by-step explanation:

The probability of an event happening is between 0 and 1 inclusive.

A probability of 1 means the event is certain to happen or 100%

You cannot have a probability greater than 1 so

An event can have a probability of 3/2 cannot happen

What is the value of x?
What is the value of z?
What is tue value of y?

Answers

Answer:

x is equal to 55

y is equal to 70

z is equal to 55

Step-by-step explanation:

You can see that x is equal to (180 - 125)°, because x° and the 125° mark form a single line.

So x is equal to 55.

Also, because of the markings on the two sides of the triangle, we can see that it's an Isosceles triangle, meaning x and z are equal, so z too is equal to 55.

Finally, knowing that the sum of the angles inside any triangle is 180°, y then must equal (180 - 55 - 55)°, or 70°

x=55
z=70
y=55

hope this helps!!

Which is a recursive formula for the sequence 50, 54, 58, 62, …?

A. an=4n+46
B. {a1=50an=an−1+4, where n≥2
C. an=4n+50
D. {a1=46an=an−1+4, where n≥2

Answers

Answer:

A

Step-by-step explanation:

common difference d = 4

nth term = a₁ + (n-1)d

= 50 + (n-1)4

= 50 + 4n-4

= 46 + 4n

Which fraction has the larger value? *
-3/4
-1/2

Answers

Answer:

I'm thinking it's -1 / 2

Step-by-step explanation:

not sure how but

Answer:

-1/2

Step-by-step explanation:

Why? Because 1/2 is bigger than 3/4

Please give me the answer

Answers

Answer:

B is the right answer

Step-by-step explanation:

Answer: B

Step-by-step explanation:

Left Two Up Three

I need help if you can help me I would really appreciate it

Answers

Answer:

A. f(x) = −2|x| + 1

Step-by-step explanation:

Can you put a picture

Answer plz. I'll get my points back if you put something random.

Answers

Answer:

D.

Step-by-step explanation:

Because, 60% of 2.50 (the pre-assumed cost of pizza) is 1.50.

A fraction of the figure below is shaded.
3rd grade

Answers

The answer is D. Please give me brainliest

Answer:

D

Step-by-step explanation:

The fraction of the shaded square above is 1/6 and the one number line for D is also 1/6 of 1

PLEASE HELP ASAP I WILL MARK BRAINLIEST!!
Lacey went to the fair. She paid $5 for the entrance fee. Each ride ticket cost $0.25. Lacey spent $12.50 at the fair. Which equation can be used to find how many ride tickets Lacey bought?
A $0.25r + $5 = $12.50
(в $0.25r + $5r= $12.50
C. 5r + $0.25 = $12.50
D. $0.25r-$5 = $12.50​

Answers

Answer:

A

Step-by-step explanation:

cause im smart

What is the y-intercept of the line?

Answers

Answer:

28

Step-by-step explanation:

Answer:     5 is the y-intercept    and -16 is the slope

22 - 17 =   5

32 - 48 = -16

Step-by-step explanation:

Porcupines can cause damage to wood structures by chewing them. Researchers studied a liquid repellent
designed to reduce such damage. A sample of 20 wooden blocks of the same size were treated with the
repellent and left outside in an area where porcupines are known to live. After a certain amount of time, the
blocks were inspected for the number of porcupine teeth marks visible. The data were used to create the
95 percent confidence interval (4.9,5.8).
Which of the following claims is supported by the interval?
A
The expected number of porcupine teeth marks on a wooden block treated with the
repellent is less than 5.
B
B
The expected number of porcupine teeth marks on a wooden block treated with the
repellent is 5.
с
The mean number of porcupine teeth marks on all wooden blocks treated with the
repellent is 6.
D
The mean number of porcupine teeth marks on all wooden blocks treated with the
repellent is greater than 6.
E
The mean number of porcupine teeth marks on all wooden blocks treated with the
repellent is less than 6.

Answers

Answer:

The mean number of porcupine teeth marks on all wooden blocks treated with the repellent is less than 6.

Step-by-step explanation:

The mean number of porcupine teeth marks on all wooden blocks treated with the repellent is less than 5 and 6.

Option A and E are the correct answer.

What is a confidence interval?

A confidence interval is a range of values that is likely to contain the true value of an unknown parameter, such as a population means or proportion, based on a sample of data from that population.

It is a statistical measure of the degree of uncertainty or precision associated with a statistical estimate.

We have,

The 95% confidence interval for the mean number of porcupine teeth marks on wooden blocks treated with the repellent is (4.9, 5.8).

This means that we can be 95% confident that the true mean number of porcupine teeth marks on all such wooden blocks falls between 4.9 and 5.8.

Option A states that the expected number of porcupine teeth marks on a wooden block treated with the repellent is less than 5.

This claim is supported by the confidence interval since the upper limit of the interval is less than 5.

Option B states that the expected number of porcupine teeth marks on a wooden block treated with the repellent is 5.

This claim is not supported by the confidence interval, since both the lower and upper limits of the interval are greater than 5.

Option C states that the mean number of porcupine teeth marks on all wooden blocks treated with the repellent is 6.

This claim is not supported by the confidence interval, since both the lower and upper limits of the interval are less than 6.

Option D states that the mean number of porcupine teeth marks on all wooden blocks treated with the repellent is greater than 6.

This claim is not supported by the confidence interval, since the upper limit of the interval is less than 6.

Option E states that the mean number of porcupine teeth marks on all wooden blocks treated with the repellent is less than 6.

This claim is supported by the confidence interval since the upper limit of the interval is less than 6.

Therefore,

The mean number of porcupine teeth marks on all wooden blocks treated with the repellent is less than 5 and 6.

Learn more about confidence intervals here:

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PLEASE HELP
WILL MARK BRAINLY
1. The population in Small town in 2010 was 45,230 people and is growing exponentially at a rate of 2 percent. Which of the following equations
defines the population t years after 2010?
O P= 45, 2302
OP=45, 230(1+0-2)*
OP=45, 2300
OP=45, 230(1 +0.02)

Answers

Answer:

C

Step-by-step explanation:

The following equation defines the population t years after 2010,

P = 45230(1 + 0.02[tex])^{t}[/tex].

What is Exponential Growth?

An exponential function's curve is created by a pattern of data called exponential growth, which exhibits higher increases over time.

y = a(1+r)ˣ,

where a is the initial population and r is the rate in decimals and sx is the time period.

Given:

The population in Small town in 2010 was 45,230 people and is growing exponentially at a rate of 2 percent.

The formula;

y = a(1+r)ˣ,

where a is the initial population and r is the rate in decimals and x is the time period.

That means,

P = 45230(1 + 0.02[tex])^{t}[/tex]

Therefore, the equation is P = 45230(1 + 0.02[tex])^{t}[/tex]

To learn more about the exponential growth;

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Convert to slope intercept form 4x+5y=-20

Answers

Answer:

Slope-intercept form is: y=mx+b. Where m = slope or rise/run & b = y-intercept or where the line crosses the y axis. So for 4x + 5y = 20 the slope intercept form is y = -4x/5 + 4.

Step-by-step explanation:

Answer:

y = -4/5x - 4

Step-by-step explanation:

4x + 5y = -20

-4x            -4x

5y = -4x - 20

divide it all by 5

y = -4/5x - 4

Hope this helped! Have a nice day! Plz mark as brainliest!!!

-XxDeathshotxX

An inspector inspects a shipment of medications to determine the efficacy in terms of the proportion p in the shipment that failed to retain full potency after 60 days of production. Unless there is clear evidence that this proportion is less than 0.05, she will reject the shipment. To reach a decision, she will test the following a large-sample. To do so, she selects an SRS of 200 pills. Suppose that eight of the pills have failed to retain their full potency. The best point estimate for a 95% confidence interval for the true proportion of pills in the shipment that have failed to retain full potency is ___. Round your answer to three decimal places.

Answers

Answer:

The sample proportion is p = 0.04.

Step-by-step explanation:

The best point estimate for a 95% confidence interval for the true proportion of pills in the shipment that have failed to retain full potency is ...

Sample of 200 pills.

Eight have failed to retain their full potency.

So the sample proportion is:

[tex]p = \frac{8}{200} = 0.04[/tex]

What is length of BC ?

Answers

Answer:

BC = 10

Step-by-step explanation:

Since this is an isosceles triangle

AC = BC

3x-5 = 2x

Subtract 3x from each side

3x-5-3x = 2x-3x

-5 = -x

Multiply each side by -1

5 =x

BC = 2x

     =2 *5

BC =10

PPT HELP !!!!!!!!!!!!11

Answers

Answer:

Step-by-step explanation:

a) 1 degrees Celsius (the line matches with that number)

b) -2 degrees Celsius

c) 3.5 degrees Celsius (since its between 3 and 4 its 3.5)

d) -0.5 degrees Celsius

e) the numbers will be going by 5s: (-20,-15,-10,-5, 0, 5, 10, 15, 20, 25)

I hope this makes sense and you understand it :)

What is the area of this circle?

Answers

Answer:

area = 28.26 in²

Step-by-step explanation:

area = 3²(π) = 9(3.14) = 28.26 in²

Answer:

28.27 in^2

Step-by-step explanation:

Area of a circle = pi*r^2

pi*9=28.27

62.8 in scientific notation

Answers

Answer:

6.28 x 10²

Step-by-step explanation:

first number must be greater than or equal to 1 and less than 10

if you move the decimal to the left you need to increase the power of ten by one for each move

if you move the decimal to the rightt you need to decrease the power of ten by one for each move

Simplify the expression 9x + 5-3x + 12
6x - 7
6x + 17
12x + 17
23x
Please help

Answers

Answer:

6x + 17

Step-by-step explanation:

Combine like terms

9x - 3x = 6x

5 + 12 = 17

6x + 17

christian has a maximum of 50$ to spend on his school trip a ticket to the theme park cost 27$

Answers

Answer:

50 minus 27 is 23 so she has $23 more dollars left?

Step-by-step explanation:

What is the surface area of the rectangular prism below?

Answers

Answer:

Step-by-step explanation:

The surface area of a rectangular prism calculator gives us the answer: A = 2 * l * w + 2 * l * h + 2 * w * h = 2 * 8 ft * 6 ft + 2 * 8 ft * 5 ft + 2 * 6 ft * 5 ft = 236 ft² .

Convert 20% into a fraction
ANSWER QUICKK​

Answers

Answer:

1/5.

Step-by-step explanation:

20%

20/100

20/20 / 100/20

= 1/5

---

Hope this helps!

Answer:

20/100 or 1/5

Step-by-step explanation:

Imagine the percent as a lazily drawn 100. For example, 68% would also be 68/100, or simplified to 17/25

hope it helps! :3

Which Expression is a factor of 16a2 − 25

Answers

Answer:

should be (4a-5)x(4a+5)

Step-by-step explanation:

1.) 154 × 654 =
2.) 578 × 493 =
3.) 300 × 542 =
4.) 387 × 539 =
5.) 396 × 648 =

Please answer ​

Answers

1. 100,716
2. 87,954
3. 162,600
4. 208,593
5. 256,608
1.) 100716
2.) 284954
3.) 162600
4.) 208593
5.) 256608

:)

What is x?

x/8 + 6 = 4

x=_?

Answers

Answer:x=-16

Step-by-step explanation:

Subtract 6 from both sides

x/8=-2

Multiply the number by 8 on both sides to get x by itself

x=-16

Hope you are having a good day and if you could, brainliest would be nice

x=-16
to get x alone you have to subtract 6 on both sides giving you x/8=-2 then you multiply 8 on both sides giving you x=-16

g(x) = 5x - 12x2 + 3

Answers

g(x)=5x-21

This is the simplified one I didn’t know if you needed it graphed or something

The factor of the function will be (4x - 3) and (3x + 1). The graph of the function is shown below.

What is a factorization?

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 function is given below.

g(x) = 5x - 12x² + 3

Then the function can be written as

g(x) = - 12x² + 5x + 3

Then the factor of the function will be

g(x) = 0

Then we have

   - 12x² + 5x + 3 = 0

       12x² - 5x - 3 = 0

12x² - 9x + 4x - 3 = 0

    (4x - 3)(3x + 1) = 0

                         x = -0.33 and 0.75

Then the graph of the equation will be given below.

More about the factorization link is given below.

https://brainly.com/question/6810544

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1)Using the symbolic representations p: The food is spicy q: The food is aromatic express the following compound statement in symbolic form: a) The food is aromatic and spicy. b) If the food isn't spicy then it isn't aromatic c) It is not the case that the food spicy or aromatic. d) Being non-aromatic is sufficient for a food to be non-spicy.

Answers

Answer:

one one one one one oneone one one one

can someone find the slope intercept equation for this plz thanks ill give brainliest

Answers

Answer:

y = -3/4x - 1

Step-by-step explanation:

it is

What is the value of x in the following equation?
7x + 5(2x – 10) = 69

Answers

Answer:

Step-by-step explanation:

7x+10x-50=69

17x=69+50

x=7

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