In the figure

AB = AD, BC = CD
prove that ∠ABC = ∠ADC​

In The FigureAB = AD, BC = CDprove That ABC = ADC

Answers

Answer 1

AB = AD [Given]

BC = CD [Given]

AC = AC [Same line segment]

So, ΔABC ≅ ΔADC [By SSS congruence criteria]

So, ∠ABC = ∠ADC [CPCT (Corresponding parts of congruent triangles)]

Hence, proved.

Answer 2

Answer:

I hope it will help U.

In The FigureAB = AD, BC = CDprove That ABC = ADC

Related Questions

how would I graph this correctly?​

Answers

Answer:

You would shade the fourth quadrant (bottom right).

Step-by-step explanation:

Due to the domain and range sets, you're given the facts that x must be greater than or equal to 0, but y is less than or equal to zero. This gives you what quadrant the graph should be in. Since you're not given an equation to follow like y=ax+b, then I can not say that this will give you a line.

PLSSS HELPPPPP- Evaluate the expression. 1 1 4 25 3 Write your answer as a fraction or as a whole or mixed number.​

Answers

Answer:

Mixed number form 4 4/5 exact form 24/5

Step-by-step explanation:

hope this helps

Answer:

Step-by-step explanation:

8/15

PLEASE HELP................

Answers

Answer:

3.2×10^-7 hope this will be of help

if 3^2x +1 +8 =27 find x
Pls guys I need now

Answers

Step-by-step explanation:

3x²+1+8=27

3x²+9=2

3x²=27-9

3x²=19

x²=19/3

[tex]x = \frac{ \sqrt[]{19} }{ \sqrt{3} } [/tex]

Answer:

[tex]3^{2x} + 1 + 18 = 27\\ 3^{2x} = 18\\2x = log_{3} 18[/tex]

Step-by-step explanation:

Find the value of the expression when x = 4 and y = 6.
8x + 2y + 3

Answers

Answer:

47

Step-by-step explanation:

8(4) + 2(6) + 3 = 47

32 + 12 + 3 = 47

8(4) + 2(6) + 3 = 47

350 rounded to the nearest hundred is

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\text{350 rounded to the nearest hundred is...}[/tex]

[tex]\huge\text{Rounding is basically is the}\\\huge\text{approximation of the given number.}[/tex]

[tex]\huge\bullet\huge\text{ So, when you are looking at 350, you are}\\\huge\text{asking yourself is it closer to 300 or 400.}\\\huge\text{If you are looking at the number correctly}\\\huge\text{you would see it is closer to \underline{\underline{400}} when you}\\\huge\text{rounded to NEAREST HUNDRED.}[/tex]

[tex]\huge\boxed{\textsf{Therefore, your ANSWER/RESULT is: \bf 400}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]

What’s the answer???

Answers

Answer:

Step-by-step explanation:

Which fraction is equal to 0.98

Answers

The most simplified version of it is 49/50

Answer:

98/100

Step-by-step explanation:

The number after the decimal is the tenths place. And the second number after the decimal is in the hundredths place. And so on...

So .98 would be in the hundredths place making it 98/100.

If you want to simplify it even more, you would make it 49/50.

Hope that helped : )

Simplify: 6 × 9 ÷ 3 − 4 × 5 ÷ 2
A) 4
B) 8
C) 10
D) 11

Answers

Answer:

[tex]b)8[/tex]

is the answer it's was helpful to you

Answer:

B ) 8

Is the answer have a great day

Write 4 3/7 as a decimal.
Enter your answer as a decimal rounded to the nearest hundredth, like this: 3.14

Answers

Answer:

4.43

Step-by-step explanation:

4 3/7

~Turn into an improper fraction

31/7

~Divide

4.42885714286...

~Round

4.43

Best of Luck!

A certain forest covers an area of 4900 km². Suppose that each year this area decreases by 7%. What will the area be after 8 years?
Use the calculator provided and round your answer to the nearest square kilometer.

Answers

Answer:

area after 8 years is 2156km²

Step-by-step explanation:

Area of forest=4900 km²

decrease in area in 1 year=4900km² × 7%

decrease in area in 1 year= 343km²

decrease area in 8 years=343km² × 8

=2744km²

Remaining area= (4900-2744)km²

=2156km²

Note:If you have any question about it please ask.

John's family drinks
7/9 of milk a day.
How many liters do they drink in 4 days?

Answers

Answer:

28/9 or 3 1/9

Step-by-step explanation:

7/9 + 7/9 + 7/9 + 7/9 = litera they drink in 4 days or 7/9 x 4

7/9 • 4 = 28/9 or 3 1/9

[tex]\frac{28}{9}[/tex]   liters do they drink in 4 days.

What is unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

According to the question

John's family drinks 7/9 of milk a day.

Liters do they drink in 4 days: X

Using unitary method

X = [tex]\frac{7}{9} \times4[/tex]

X = [tex]\frac{28}{9}[/tex]

[tex]\frac{28}{9}[/tex]   liters do they drink in 4 days.

Find out more information about unitary method here

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The letters a and b represent nonzero constants solve
ax-b=12.5 for x

Answers

Answer:

x=(12.5+b)/a

Step-by-step explanation:

ax-b=12.5

ax=12.5+b

x=(12.5+b)/a

The solution for the equation ax - b = 12.5 for x is:

x = (12.5 + b) / a

We have,

To solve the equation ax - b = 12.5 for x, follow these steps:

- Add b to both sides of the equation:

ax - b + b = 12.5 + b

This simplifies to:

ax = 12.5 + b

- Divide both sides of the equation by "a":

(ax) / a = (12.5 + b) / a

Simplify:

x = (12.5 + b) / a

Thus,

The solution for the equation ax - b = 12.5 for x is:

x = (12.5 + b) / a

Learn more about equations here:

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Anyone know the answers 11 through 14?Please help me.I’m tired

Answers

Answer:

11. [tex]x^{5}[/tex]

12. 5*[tex]x^{2}[/tex]

13. x+21

14. 2x-8

Step-by-step explanation:

Given that f(x)=2x-8, determine the average rate of change over the interval [2, 8].

Answers

Answer:

2

Step-by-step explanation:

The average rate of change over [2, 8] is the change in the y-values over the change in the x-values.

[tex]\frac{f(8) - f(2)}{8 - 2}[/tex]

[tex]f(8) = 2(8) - 8 = 16 - 8 = 8[/tex]

[tex]f(2) = 2(2) - 8 = 4 - 8 = -4[/tex]

[tex]\frac{8 - (-4)}{8-2} = \frac{8 + 4}{8-2} = \frac{12}{6} = 2[/tex]

If f(x) = x (ln x), find f'(x).
A. e^(x + 1)
B. 1 + ln x
C. 1 + e^x
D. (ln x)^2 + x

Answers

Answer:

[tex]f'(x)=1+\ln x[/tex]

Step-by-step explanation:

[tex]f'(x)[/tex] is notation for the first derivative of [tex]f(x)[/tex].

Recall the product rule:

[tex](f\cdot g)'=f'\cdot g+g'\cdot f[/tex]

Therefore, we have:

[tex]\displaystyle \frac{d}{dx}(x\ln x)=\frac{d}{dx}(x)\cdot \ln(x)+\frac{d}{dx}(\ln x)\cdot x[/tex]

Note that:

[tex]\displaystyle \frac{d}{dx}(x)=1,\\\\\frac{d}{dx}(\ln x)=\frac{1}{x}[/tex]

Simplify:

[tex]\displaystyle \frac{d}{dx}(x\ln x)=1\cdot \ln x+\frac{1}{x}\cdot x, \\\\\frac{d}{dx}(x\ln x)= \ln x+1=\boxed{1+\ln x}[/tex]

The derivative is:

[tex] \bold{f(x) \: = \: x \: \times \: (In(x))}[/tex]

[tex] \bold{f'(x) \: = \: \frac{d}{dx} (x \: \times \: In(x))}[/tex]

[tex] \bold{f'(x) \: = \: \frac{d}{dx} (x) \: \times \: In(x) \: + \: x \: \times \: \frac{d}{dx} (In(x))}[/tex]

[tex] \bold{f'(x) \: = \: 1In(x) \: + \: x \: \times \frac{1}{x} }[/tex]

[tex] \bold{f'(x) \: = \: In(x) \: + \: x \: \times \: \frac{1}{x} }[/tex]

[tex] \boxed{ \bold{f'(x) \: = \: In(x) \: + \: 1}}[/tex]

MissSpanish

х
(-4+ 8x) +3>
What is the solution to the inequality
-4?

Answers

Step-by-step explanation:

if I understand the typed information here, we have

(-4 + 8x) + 3 > -4

so, I am looking at that :

-4 + 8x + 3 > -4

let's first add 4 on both sides

8x + 3 > 0

then subtract -3 on both sides

8x > -3

and finally divide both sides by 8

x > -3/8

since we never multiplied or divided by a negative number, the inequality sign stays the same.

so, this inequality is true for all x > -3/8

Please help !!!! thank youuu

Answers

Answer: 32
Substitute 16 for w and solve
8+ 16/4=
8+4
12. Is the answer

6x-2+9y-3y-3x
Help anyone?

Answers

Step-by-step explanation:

6x-2+9y-3y-3x

6x-3x-2+9y-3y

3x-2+6y

Therefore its 3x-2+6y.

HELP ASAP!!!

The line (y-1)=(2/3)(x+1) contains point (a,-3).

What is the value of a? Show
your work.

Answers

Answer:

-7

Step-by-step explanation:

The line (y-1)=(2/3)(x+1) contains point (a,-3)

=> (-3-1) = (⅔)(a+1)

-4 = (⅔)(a+1(

(a+1)= -4 ÷ ⅔

a + 1 = -4 × 3/2

a+ 1 = -6

a = -6-1

a = -7

The value of 'a' will be;

⇒ a = - 7.

What is substitution method?

To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.

Given that;

The equation of line is,

⇒ (y - 1) = (2/3) (x + 1)

And, The point on the line = (a, - 3)

Now,

Since, The point on the line = (a, - 3)

Hence, It satisfy the equation of line.

Substitute x = a and y = - 3, we get;

⇒ (y - 1) = (2/3) (x + 1)

⇒ (- 3 - 1) = (2/3) (a + 1)

⇒ - 4 × 3 = 2a + 2

⇒ - 12 - 2 = 2a

⇒ 2a = - 14

⇒ a = - 7

Thus, The value of a = - 7

Learn more about the substitution method visit:

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The diameter of a table tennis ball is millimeters. What is the approximate surface area of a table tennis ball?

Answers

Answer:

since there is no value for the dimensions of the tennis ball. The tennis ball is a sphere with a Surface Area 4pir²

solve the following pair of simultaneous equations. you can use any 3 methods. 2x- y= 5, x+2y=5.

Answers

Answer:

2x-y= 5, x + 2y=5

Step-by-step explanation:

x = 3, y = 1

please help! this is due my today and i don't understand it

Answers

Answer is B I did this and got it correct

Need help ASAP will give more points

Answers

Answer:

30%

Step-by-step explanation:

14+ 18+ 28 = 60

18/60 × 100 = 30%

Answer:

[tex] \frac{18}{60} = \frac{3}{10} = 30\%[/tex]

Step-by-step explanation:

Total token sample = 14 + 18 + 28 = 60

Frequency of blue:

[tex] = \frac{18}{60} \: [/tex]

[tex] = \frac{18}{60} \times 100\%[/tex]

[tex] = 30\%[/tex]

(1/2)^x=2^-x could anyone tell me why​

Answers

Answer:

Anything to a negative power is always the reciprocal. An example might be 2⁻² can be written as 1/4

Step-by-step explanation:

find the length indicated. ​

Answers

Answer:

none

Step-by-step explanation:

true or false? in a two-column proof, the left column states your reasiong

Answers

False. The left column is for your statements , the right column is for your reasoning.

Grace and her dad are planning to attend the state fair. An adult ticket is $15.00. The price of an adult ticket is one half the price of a student ticket plus $8.00. Write an equation to determine how much Grace will pay for a student ticket.

one halfx + 8 = 15
one halfx − 8 = 15
one halfx + 15 = 8
one halfx − 15 = 8

Answers

Answer:

Option 1 is the correct equation.

Step-by-step explanation:

x = price of the student ticket.

One half price of x + $8 = adult ticket price ($15)

Answer:

The correct answer is A

Because taking the student ticket to be x

one half of x + 8 =15

TRUE or FALSE?
Both horror and comedy can use dramatic irony because both horror and comedy
use what the audience knows to create either suspense or humor.
True
Or
False

Answers

Answer:

True

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Change the following fraction to a decimal. 8 4/5 = ?

Answers

Answer:

The answer is 8.8

Step-by-step explanation:

4/5 x 20/20 = 80/100

80/100 = .8

Step-by-step explanation:

[tex]8 + \frac{4}{5} = \frac{40 + 4}{5} \\ = \frac{44}{5} = 8.8 \\ thank \: you[/tex]

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