In the diagram abc=adb=90, ad=p and dc=q. Use similar triangles to show that x2=pz
plzz anyoneee

In The Diagram Abc=adb=90, Ad=p And Dc=q. Use Similar Triangles To Show That X2=pzplzz Anyoneee

Answers

Answer 1

Answer:

By comparing the ratios of sides in similar triangles ΔABC and ΔADB,we can say that [tex]x^{2} =pz[/tex]

Step-by-step explanation:

Given that ∠ABC=∠ADC, AD=p and DC=q.

Let us take compare Δ ABC and  Δ ADB in the attached file , ∠A is common in both triangles

                                                                     and given ∠ABC=∠ADB=90°

Hence using AA postulate, ΔABC ≈ ΔADB.

Now we will equate respective side ratios in both triangles.

[tex]\frac{AB}{AC}= \frac{AD}{AB}=\frac{BD}{BC}[/tex]

Since we don't know BD , BC let us take first equality and plugin the variables given in respective sides.

[tex]\frac{x}{z}= \frac{p}{x}[/tex]

Cross multiply

[tex]x^{2}=pz[/tex]

Hence proved.


In The Diagram Abc=adb=90, Ad=p And Dc=q. Use Similar Triangles To Show That X2=pzplzz Anyoneee

Related Questions

I need help finding the common difference for 3 !

Answers

Repeatedly add 20 and then subtract 7

(6 1/2+2 3/4)-1.5*(4.5 divided by 0.5)

Answers

Answer:  - (4 1/4)

Solution:

(6 1/2 + 2 3/4) - 1.5*(4.5/0.5)=

(6 0.5 + 2 0.75) - 1.5*(9)=

(6.5+2.75) - 13.5=

(9.25) - 13.5=

- 4.25=

-(4 0.25)=

-(4 1/4)

PLZ HELP ASAP NEED ANSWER NOW Which factor most directly affects kinetic energy?
A mass
B density
C elasticity
D height

Answers

Mass. It and velocity affects kinetic energy.

Answer:

The factor that most directly affects kinetic energy is,
A: Mass

Suppose you were slapping a metal sphere back and forth between your hands, it wouldn't be very fluid. Then slap a fluffy cotton ball back and forth, little resistance. Because it has lass mass.

2. In a random sample of 130 World Campus students, 92 were employed full-time.


We want use these data to construct a 95% confidence interval to estimate the proportion of all World Campus students who are employed full-time. Is it appropriate to use the normal approximation method? Show how you checked assumptions.

Answers

Answer:


Step-by-step explanation:

Given that sample size is 130 >30.  Also by central limit theorem, we know that mean (here proportion) of all means of different samples would tend to become normal with mean = average of all means(here proportions)

Hence we can assume normality assumptions here.

Proportion sample given = 92/130 = 0.7077

The mean proportion of different samples for large sample size will follow normal with mean = sample proportion and std error = square root of p(1-p)/n

Hence mean proportion p= 0.7077

q = 1-p =0.2923

Std error = 0.0399

For 95% confidence interval we find that z critical for 95% two tailed is 1,.96

Hence margin of error = + or - 1.96(std error)

= 0.0782

Confidence interval = (p-margin of error, p+margin of error)

= (0.7077-0.0782,0.7077+0.0782)

=(0.6295, 0.7859)

We are 95% confident that average of sample proportions of different samples would lie within these values in the interval for large sample sizes.

Jones of Boston borrowed $40,000, on a 90-day 10% note. After 60 days, Jones made an initial payment of $6,000. On day 80, Jones made an additional payment of $7,000. Assuming the U.S. Rule, what's the adjusted balance of the first payment? (Use 360 days.)

Answers

Answer:

$34,666.67

Step-by-step explanation:

Step 1: Calculate the interest for 60 days.

(40000*60/360 )* 0.10 = $666.67

Step 2: Amount = Principal + Interest = $40,000 + 666.67 = $40,666.67

Step 3 : After 60 days, he paid $6000.

Remaining balance of the first payment = 40666.67 - 6000 = $34,666.67

Thank you.

Round 5,403.264 to the nearest hundred.

Answers

The answer is 5,400 because you take out the decimal and the 3 and make it 400 because hats what you do in rounding

What are the hypothesis and conclusion of the following statement? Write it as a conditional first. Statement: Residents of Key West live in Florida.

Answers

If a person is a resident of Key West, then they live in Florida.
Final answer:

In the statement 'if you are a resident of Key West, then you live in Florida', the hypothesis is 'you are a resident of Key West' and the conclusion is 'you live in Florida'.

Explanation:

The given statement is, 'Residents of Key West live in Florida'. This is a given fact in a single sentence. In terms of a conditional statement, the hypothesis is the 'if' part and the conclusion is the 'then' part.

Let's write the statement as a conditional: 'If you are a resident of Key West, then you live in Florida'. In this statement, the hypothesis is 'you are a resident of Key West' and the conclusion is 'you live in Florida'.

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What is the best way to display a set of data with a wide range, where we want to be able to find the measures of central tendency using the display?

frequency table
line plot
stem-and-leaf plot
histogram

Answers

Answer:

stem and leaf plot

Step-by-step explanation:

Final answer:

A histogram is the best choice for displaying a set of data with a wide range to find measures of central tendency, as it effectively groups continuous data into frequency bins.

Explanation:

To display a set of data with a wide range, particularly when looking to find measures of central tendency, a histogram is typically the best choice. A histogram allows you to see the data's distribution by grouping data into 'bins' of equal width. Unlike a bar graph, which is more suitable for discrete categories, a histogram's contiguous rectangles make it ideal for showing the frequency of continuous data. Each bar on the histogram represents the frequency of data within a particular interval, giving an immediate visual summary of the data. This makes it easier to estimate the measures of central tendency such as the mean, median, and mode.

A stem-and-leaf plot could also be useful for smaller data sets, as it displays all data values which assist in identifying the central tendency measures directly. However, for larger and continuous data sets, the histogram is more efficient. A frequency table is another option for displaying the frequency of data grouped into ranges, making it possible to calculate the central tendency measures.

what is the answer 27.9+212.5

Answers

27.9+212.5= 240.4
Hope I helped!

*(Step-By-Step Instructions)*=

[tex].9+.5[/tex]                Add in the tenths place

[tex]7+2+1[/tex]               Add in the ones place with a one from the previous step

[tex]2+1+1[/tex]               Add in the tens place with a one from the previous step

*(Answer)*= 240.4


−2 1/2 ÷ 6
A. −2 1/6
B. −5 1/2
C. 5 1/2
D. 2 1/6

Answers

the answer is -  [tex]\frac{5}{12}[/tex]

given - 2 [tex]\frac{1}{2}[/tex] ÷ [tex]\frac{6}{1}[/tex]

change the mixed number to an improper fraction

- 2 [tex]\frac{1}{2}[/tex] = - [tex]\frac{5}{2}[/tex]

• leave the first fraction

• change division to multiplication

• turn the second fraction upside down

- [tex]\frac{5}{2}[/tex]× [tex]\frac{1}{6}[/tex] = - [tex]\frac{5(1)}{2(6)}[/tex] = - [tex]\frac{5}{12}[/tex]


The number with a prime factorization of 3^4 is _____.

Answers

I think 81 is composite and is 9 squared. 81 = 1 x 81, 3 x 27, or 9 x 9. Factors of 81: 1, 3, 9, 27, 81. Prime factorization: 81 = 3 x 3 x 3 x 3 which can also be written 3⁴. Since √81 = 9, a whole number, 81 is a perfect square. Even though it has other factors, the only multiplication fact we use is 9 x 9 = 81.

Answer:

81

Step-by-step explanation:

PLEASE HELP FAST FOR 3 QUESTIONS 30 POINTS AVAILABLE!!!

Answers

Answer:

Hmm for the 4th question i think its 36.4

and 5th is interpolation

hard to read number 6 btw sense its not focused

hope i helped

branliest answer pls


What is ten times two?

Answers

ten times two is equal to twenty.

Answer:

10x2=20

Step-by-step explanation

you add 10 2 times and you get 20 a more simple way of getting the answer.

Hope this helped =)

There is a "buy 3 get 1 free" sign for candy bars at the store. Each candy bar cost $0.50. What os the price of 12 candy bars?

Answers

$4.50 because 3 were free wich means 9 cost money 9*0.50=4.5

Final answer:

The cost of 12 candy bars with a 'buy 3 get 1 free' offer is $4.50.

Explanation:

To calculate the cost of 12 candy bars under the 'buy 3 get 1 free' deal, we need to divide the 12 by the group size, which is 4 (3 that you pay for + 1 that you get for free). This results in 3 groups. Since you only pay for 3 candy bars in each group, each group will cost you $0.50 x 3 = $1.50. So, the total cost for 12 candy bars is $1.50 x 3 = $4.50.

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What is the value of minus 6 x cubed minus y squared minus 3 x y if if x = -2 and y = 4

Answers

Well, "minus 6 x cubed minus y squared minus 3 x y" translates to:

[tex]-6x^{2} -y^{2} -3xy[/tex]

Then, if we insert the values for x and y, we get:

[tex]-6(-2)^{2} -(4)^{2} -3(-2)(4)[/tex]

When we distribute and multiply:

[tex]144-16-24[/tex]

And once we combine like terms:

104 is the answer


The given statement can be written in expression form as

[tex]-6x^3-y^2-3xy[/tex]

As the value of [tex]x=-2[/tex] and [tex]y=4[/tex] are given .

To find the value of expression at the given values of [tex]x[/tex] and [tex]y[/tex] , we have to insert the values into the expression

[tex] -6(-2)^3-(4)^2-3(-2)(4)[/tex]

Now solving by cubing and squaring the numbers

[tex]-6(-8)-16-3(-8)[/tex]

As negative negative is positive and positive negative is negative

[tex] 48-16+24[/tex]

Adding like terms and subtracting we get

[tex]72-16=56[/tex]

56 is the Answer

Hope this will help

Find the LCM of 21 and 27

Answers

The correct Answer:

LCM = 189

for the values:

27, 21


factorization of 21

21 = 3 × 7

factorization of 27

27 = 3 × 3 × 3

LCM = 3 × 3 × 3 × 7

LCM = 189

What’s 7.3 as a fraction

Answers

1/3

Hope it helps :PPPPPPP

trinda score 72,67,82, and 79 on her algebra tests . use an inequality to find the minimum score she can make on the final exam to pass the course with an average of 80 or higher

Answers

(72+67+82+79+f)/5 >=80   to find the average we add up all the scores and divide by the number. she took 4 tests plus the final which is 5.  It must be greater than or equal to 80

(300+f)/5>=80  added up the test scores

300+f >= 400  multiply each side by 5

f>= 100  subtract 100 from each side

Trinda needs 100 or greater

Final answer:

To find the minimum score Trinda can make on the final exam to pass the course with an average of 80 or higher, we set up an inequality and solve for the minimum score.

Explanation:

To find the minimum score Trinda can make on the final exam to pass the course with an average of 80 or higher, we can set up an inequality. Let's represent the minimum score as x. The average of Trinda's algebra tests scores is given by: (72 + 67 + 82 + 79 + x) / 5. To pass the course with an average of 80 or higher, the inequality would be: (72 + 67 + 82 + 79 + x) / 5 ≥ 80.

To solve this inequality, we need to multiply both sides by 5 to eliminate the denominator: 72 + 67 + 82 + 79 + x ≥ 80 * 5. Simplifying this, we get: 300 + x ≥ 400. To isolate x, we subtract 300 from both sides: x ≥ 100.

Therefore, Trinda needs to score a minimum of 100 on her final exam to pass the course with an average of 80 or higher.

3x +5 = 2x+8 how do i solve?

Answers

Answer,

X = 3

Explanation,

Subtract 5 from both sides.

3x+5-5=2x+8-5

Simplify.

3x=2x+3

Subtract 2x from both sides.

3x-2x=2x+3-2x

Simplify.

x=3

Hope this helps :-)

Consider the diagram and the derivation below. Given: In △ABC, AD ⊥ BC Derive a formula for the area of △ABC using angle C. It is given that in △ABC, AD ⊥ BC. Using the definition of sine with angle C in △ACD results in sin(C) = . Using the multiplication property of equality to isolate h, the equation becomes bsin(C) = h. Knowing that the formula for the area of a triangle is A = bh is and using the side lengths as shown in the diagram, which expression represents the area of △ABC? bsin(C) absin(C) cbsin(C) hbsin(C) Mark this and return

Answers

Answer:

[tex]A=\frac{1}{2}a*b*sin(C)[/tex]

Step-by-step explanation:

First consider the diagram:

Now, we know that

[tex]Sin(C)=\frac{AD}{AC} \\ Sin(C) =\frac{h}{b} \\h=bsin(C)[/tex]

Now, the area of the triangle ABC is given by,

[tex]A=\frac{1}{2}*BC*AD\\\\A=\frac{1}{2}*a*h\\\\A=\frac{1}{2}*a*c*sin(C)\\\\A=\frac{1}{2}a*b*sin(C)[/tex]


Write an algebraic expression that models the situation “the piggy bank contained $25, and $1.50 is added each day.” Use d to represent the number of days

a) 25d+1.5

b) 25+1.5d

c) 25d+1.5d

d) 25+(1.5)(7)d

Answers

the answer is b because the piggy bank originally contained $25 and the person adds $1.50 per day.. so: 25+1.5d

what is the decimal multiplier to increase by 3%?

Answers

If you want to increase something by 3%, you would ADD 100% to it, so:
3% + 100% = 103%
Then you divide it by 100 to turn it into a decimal, so:
103% / 100 = 1.03
So to increase by 3%, the multiplier would be 1.03



If you wanted to decrease by 3%, you would SUBTRACT 100% from 3%, so:
100% - 3% = 97%
And then you would divide 97% by 100 to turn it into a decimal (multiplier), so:
97% / 100 = 0.97
So to decrease by 3%, the multiplier would be 0.97

The decimal multiplier to increase by 3% will be equal to 1.03.

What is the Percentage?

The Latin phrase "per centum," which means "by the hundred," is where the English word "percentage" comes from. Percentage segments are those with a numerator of 100. In other words, it is a connection where the whole is always deemed to be valued 100.

As per the given information in the question,

Let the number be 100.

So, as a whole, it is 100%

Then, let's increase it by 3%,

(100 + 3)%

= 103%

So, in decimal form,

103/100 = 1.03

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An apple is cut into 10 pieces. 0.8 of the apple is eaten.
Which fraction, in simplest form,represents the amount of the apple that is left?

Answers

Answer:

0.2

Step-by-step explanation:

Fill in blanks to make equation true. 3 •1/3 = ________

Answers

im pretty sure it equals 1

Final answer:

The number to correctly fill in the blank in the equation 3 • 1/3 is 1. This is because multiplying 3 by 1/3 is the same as dividing 3 by 3, which equals 1.

Explanation:

In the given equation 3 • 1/3 = ____, you are asked to fill in the blank to make the equation true. Remember that '•' is a symbol representing multiplication. When you multiply 3 by 1/3, we are essentially dividing 3 by 3. This operation results in 1, so to make the equation true, you would insert '1' into the blank. Thus, the full equation, solved, is '3 • 1/3 = 1'.

To fill in the blank and make the equation true, we need to multiply 3 by 1/3. The product of 3 and 1/3 is 1. Therefore, 3 * 1/3 = 1.

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Solve the equation 4c2 + 7c – 5 = 0 using the quadratic formfoula

Answers

Answer:

4c² + 7c - 5 = 0

c = (-7 ± √(7² - 4(4)(-5)))/(2(4))

= (-7 ± √(49 + 80))/8

= (-7 ± √129)/8

Final answer:

To solve the equation 4c^2 + 7c - 5 = 0, use the quadratic formula to find the roots by substituting the values of a, b, and c into the formula and solving.

Explanation:

The equation is 4c2 + 7c - 5 = 0.

Using the quadratic formula:

Identify a = 4, b = 7, and c = -5.

Substitute into the formula: c = (-b ± √(b2 - 4ac)) / 2a.

Calculate the roots by plugging in the values: c = (-7 ± √(72 - 4*4*(-5))) / 2*4.

c = 0.66

NEED ANSWER NOW PLZ WILL MARK BRAINLIEST

Why is diffusion important to cells?

A. it permits the sorting of water molecules from solute molecules, such as sugar.

B. it regulates salt content in the cell, preventing bloating and shriveling.

C. it helps maintain the balance of materials needed for survival, such as oxygen and water.

D. The back and forth movement creates extra energy as ADP is transformed into ATP.

WILL MARK BRAINLIEST

Answers

C is your answer. :)

C. it helps maintain the balance of materials needed for survival, such as oxygen and water.

What is the scientific notation of 427 thousand

Answers

Thousand is 1,000, or 10^3, when multiplied by the 100 in 427, it becomes 10^5. Because we divided 427 and put the notation in the 10^#. It would be 4.27, once we add the ten^#, it becomes..

Answer: 4.27*10^5
Answer : 427.000 I think it’s correct but hope this helps

True or false? If you look a true “if then” statement, inserted a not in each clause, and reversed the clauses, the new statement would also be true.

Answers

True becauseIf you look a true “if then” statement, inserted a not in each clause, and reversed the clauses, the new statement would also be true.

Answer:

It's true

Step-by-step explanation:

65834 rounded to the nearest ten thousand

Answers

70000
You keep the 6 and the 5 tells you to add 1 to the 6

Answer:

70,000

Step-by-step explanation:

65834

First, identify the ten-thousands digit.

4 - ones digit

3 - tens digit

8 - hundreds digit

5 - thousands digit

6 - ten-thousands digit.

The 6 is the ten-thousands digit.

First, make every digit to the right of the ten-thousands digit zero.

You get 60,000.

Now check the digit just to the right of the ten-thousands digit. If it is zero through 4, you are done. If it is 5 through 9, the 6 goes up 1 to 7. The digit to the right of the ten-thousands digit is 5, so the 6 goes up 1 to 7, and the answer is 70,000.

A grocery store has 184 shelves for bottled goods. Each shelf can hold 27 bottles. How many bottles will the shelves hold in all?

Answers

Each shelve will hold 7 bottles.

they can hold 4,968 bottles

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