In circle K shown below, points B, C, D, and E lie on the circle with secants HBD and HCE drawn. Prove:


HExDC=HDxEB

In Circle K Shown Below, Points B, C, D, And E Lie On The Circle With Secants HBD And HCE Drawn. Prove:HExDC=HDxEB

Answers

Answer 1

Answer:

By exterior angle theorem, we have;

∠DBE = ∠H + ∠HEB = ∠ECD = ∠H + ∠HDC

∴ ∠H + ∠HEB = ∠H + ∠HDC

By addition property of equality, we have

∠HEB = ∠HDC

∠H = ∠H by reflexive property

∴ ΔHCD ~ ΔHEB by Angle Angle AA similarity postulate

∴ HE/HD = EB/DC, by the definition of similarity

Therefore, by cross multiplication, we have;

HE × DC = EB × HD

Therefore, by commutative property of multiplication, we have;

HE × DC = HD × EB

Step-by-step explanation:


Related Questions

List the elements C={7n|n belongs to N, n<5}

Answers

Answer:

[tex]C = \{0,7,14,21,28\}[/tex]

Step-by-step explanation:

Given

[tex]C \{7n: n < 5\}[/tex]

Required

List the elements

Assume that n is not negative, the values of n are:

[tex]n = \{0,1,2,3,4\}[/tex]

So, the values of C is:

[tex]C = 7 * n[/tex]

[tex]C = 7 * \{0,1,2,3,4\}[/tex]

Multiply each set element by 7

[tex]C = \{7 *0,7 *1,7 *2,7 *3,7 *4\}[/tex]

[tex]C = \{0,7,14,21,28\}[/tex]

which algebraic expression represents the following phrase "2.5 less than a number d and 4"

Answers

The algebraic expression is represented as 4d - 2.5

What is an algebraic expression?

An algebraic expression is simply defined as an expression that is composed of coefficients, factors, constants, terms, and variables.

They are also composed of mathematical operations, such as;

AdditionSubtractionDivisionBracketMuitiplicationParentheses, etc

From the information given, we have that;

The variable = d

The constant = 2.5

The coefficient = 4

This is represented as;

4d - 2.5

Hence, the expression is 4d - 2.5

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What is the log value of log2?

Answers

The log value of log2 is 1Log2 is defined as the logarithm base 2. This means that the logarithm of any number x is equal to the power to which the base 2 must be raised to produce x.

In other words, log2(x) = y, where 2^y = x.

Therefore, when x = 2, 2^y = 2. This means that the logarithm of 2 is equal to 1, since 2^1 = 2.

Therefore, the log value of log2 is 1.

Log2 is an important mathematical concept that is used to calculate the logarithm of a number. Logarithms are used in a variety of fields, including mathematics, physics, engineering, and computer science. Log2 is the logarithm with a base of 2, which means that the logarithm of any number x is equal to the power to which the base 2 must be raised to produce x. To calculate log2 of a number, the formula is log2(x) = y, where 2^y = x. This means that the logarithm of 2 is equal to 1, since 2^1 = 2. Therefore, the log value of log2 is 1. Log2 is often used to calculate logarithms of numbers that are not powers of 2, such as log2(3) = 1.5849. Log2 can also be used to calculate logarithms of numbers with decimals, such as log2(1.5) = 0.5849. Log2 can also be used to calculate exponents, such as 2^3 = 8.

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-2(-6+-y) in expanded form help ​

Answers

Answer:12+2y

Step-by-step explanation:Multiple the -2 by each value inside of the parenthesis, -2 * -6 = 12, -2 * -y = 2y, then add these together to get 12+2y.

Word Problems
1) Sandy has 22 books in her library. She bought several books at a yard
over the weekend. She now has 61 books in her library. How many be
did she buy at the yard sale?
) How many ink cartridges can you buy with 143 dollars if
one cartridge costs 11 dollars ?
) Melanie is baking a cake. The recipe calls for 6 cups of flour. She alre
4 cups. How many more cups does she need to add ?

Answers

Answer:

1) 39

2) 13

3) 2

Step-by-step explanation:

1) She had 22 books, she now has 61 books, so she bought 61-22 = 39 books at the yard sale.

2) 143/11 = 13

3) 6-4 = 2

Kanene wants to know how much wrapping paper she needs to cover this cube. How much wrapping paper does she need?

Find the surface area

Answers

Answer:

Step-by-step explanation:

the side length of the cube is not given so i cant answer this

Points D, B, and E are collinear. Find the value of a so that points A, B, and C
are collinear.

Answers

Answer: x = 14

Step-by-step explanation:

    For points A, B, and C to be collinear, angle ABD and EBC must be vertical angles. Vertical angles are congruent so we will set them equal to each other and solve for x.

    Given:

126 = 9x

    Divide both sides of the equation by 9:

14 = x

    Reflexive property:

x = 14

1.5x = 3 someone help plz

Answers

Answer:

1.5x=3

x=3/1.5

x=2

.....

Answer:

Hello! answer: x = 2

Step-by-step explanation:

1.5 × 2 = 3

therefore x = 2 Hope that helps!

(12^3) ^7

^^ Rewrite the following using a single exponent

Answers

Answer:

[tex]12 {}^{21} [/tex]

Step-by-step explanation:

Multiply the exponents, hope it helped. If you need a more in depth explantion on how to do it then I can :).

Please help! This is due soon

Answers

Answer:

slope is 1/2

Step-by-step explanation:

Can some one help me with this question its hard :( down below ill give brainliest

Answers

Answer:

B

Step-by-step explanation:

It's B

First we multiply the coefficients. 6*3= 18, so we can immediately cross out A and D. Now, c^2 * c is c^3. So, its B.

Hope this helps !!

-Ketifa

Step-by-step explanation:

=>6*3c=>18c²+¹=>18c³

A triangle has side lengths 4.9 cm, 7.3 cm, and 8 cm. The angle measures are 36°, 64°, and 80°. What type of triangle is this triangle? please help for 15 points

Answers

Answer:

scalene acute triangle

Step-by-step explanation:

By looking at the side lengths, we can see that all of them are different, meaning the triangle is scalene. Next, we can notice that all of the angles are less than 90 degrees, meaning the triangle is acute. Putting this together, we get the triangle is a scalene acute triangle.

what is the area for #2 and #4
evidence is would be greatly appreciated!

Answers

Answer:

2.)70

4.)451,17

Step-by-step explanation:

2.)

a1 = 8*5 = 40

a2 = ((20-8)*5)/2 = 30

aTotal = 40+30 = 70

4.)

a1 = 18*18 = 324

a2 = (πr²)/2 = 127,17

aTotal = 127,17 + 324 = 451,17

26 °
100°
X=
help anyone ?

Answers

Answer:

Step-by-step explanation:

26° + 100°

= 126°

360° - 126°

234°

Select all the expressions that are equivalent to 16x - 12- 24x+ 4 16 x − 12 − 24 x + 4. Explain or show your reasoning.

1. 4+16x-12(1+2x)4 + 16 x − 12 ( 1 + 2 x )


2. 40x-1640 x − 16


3. 16x-24x-4+1216 x − 24 x − 4 + 12


4. -8x-8- 8 x − 8


5. 10 (1. 6x - 1. 2 - 2. 4x + 4)

Answers

1) 16x - 12(1 + 2x) + 4 is the expression that are equivalent to 16x-12-24x+4.

what is expression?

An expression is a mathematical phrase that can contain numbers, variables, and operators. It can be a combination of these elements and can be evaluated to a specific value or a mathematical function.

An expression can be a simple mathematical statement such as 2x+3, or a more complex one involving multiple operations such as

(3x^2 - 4x + 5) / (2x +1). Expressions are used to represent mathematical operations, equations and relations between variables.

so we need to evaluate option 1 :

16x - 12 -24x +4

=> 16x - 12 -24x +4

the above expression is same as the expression mentioned in the question so option 1 is correct.

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Complete question :

Select all expressions that are equivalent to 16x−12−24x+4. Show or explain your reasoning.

1. 16x - 12(1 + 2x) + 4

2. 40x - 16

3. 4 - 12 + (2x - 3x)

4. -8(x+1)

A number increased by 1 2/3 is equal to 8

Answers

Answer:

19/3

Step-by-step explanation:

x+1 2/3=8

1 2/3=5/3

x+5/3=8

x=8-5/3

x=24/3-5/3

x=19/3

How do you solve 3 to the power of 3?

Answers

As per the power rule of exponents, the solution of 3 to the power of 3 is 27.

The term exponent in math is defined as a number shows how many times the number is multiplied by itself.

Here we have to solve 3 to the power of 3.

Here according to the Power Rule of Exponents then we have the rule as

=> aⁿ = a × a × a... (n times)

Therefore, the given expression is written as

=> 3³

Now, based on the power of exponent rule it can be rewritten as,

=>  3 × 3 × 3

Then we have to multiply the values then we get

=> 27

Therefore, the value of 3 raised to 3rd power is 27.

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I WILL GIVE YOU BRAINLY PLS



Each time a student scores an 80% or higher on a quiz, a teacher puts a raffle ticket
in a jar. At the end of the quarter the teacher draws three tickets. Does EVERY
student in the class have a fair chance of having their name drawn when the teacher
draws the names for the raffle? Why or why not?

Answers

To be honest I don't know❤️

fraction bigger than 2 out of 5 and smaller than 2 out of 3. When i divided numerator by denominator , it will be 0.533.

Answers

The fraction that is bigger than 2/5 and smaller than 2/3 is 8/15.

What is a fraction?

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

Example: 1/2, 1/3, 1/5 is a fraction.

We have,

Let the fraction be a/b.

2/5 < a/b < 2/3

Now,

a/b

= (2/3 + 2/5) / 2

= (10 + 6) / 30

= 16/30

= 8/15

= 0.533

Thus,

The fraction is 8/15.

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What is the value of X?

Answers

Answer:

4 kkkkkkkkkkkkkkkkkkkkkk

Answer: 4

Step-by-step explanation:

1. 14-6 the 6 came from both 3’s

2. 14-6=8

3. 8/2 the 2 because of the 2 x’s

4. 8/2=4

A triangular parking lot has sides measuring 90 meters, 54 meters, and 128 meters. Find the area of the parking lot. *

Answers

The area of the parking lot is  2,025 .81 meter2.

How do you calculate a triangle's area?

In essence, it is equal to 1/2 of the height times the base, or A = 1/2 b h. Therefore, we need to know the triangular polygon's base (b) and height (h) in order to calculate its area.

A triangular parking lot has sides measuring 90 meters, 54 meters, and 128 meters.

Triangle Height Determination Using Area

Now that you are aware of the triangle's area, you may use the triangle formula A=1/2bh to get the triangle's height.

s   = a + b+ c /2

90 + 54 + 128 / 2 = 136

A = [tex]\sqrt{s (s-a) (s-b) (s-c)}[/tex]

A = [tex]\sqrt{136(136-90)(136-54)(136-128}[/tex])

A = 2,025 .81

The area of the parking lot is  2,025 .81 meter2.

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Just wanna thank everyone on this app for helping me pass my sophomore year bc without y’all i would be in deep sh*t everyone have a great summer and live it up

Answers

Answer:

this app is good

Step-by-step explanation:

yah

x^5 multiplied by x^3 /x^4

Answers

Answer:

x^4

Step-by-step explanation:

[tex]x {}^{5} \times \frac{x {}^{3} }{x {}^{4 \\ } } \\ \\ \frac{ {x}^{8} }{x {}^{4} } \\ \\ x {}^{8 \: - \: 4} \\ {x}^{4} [/tex]

The table shows the number of students going on a field trip one chaperone is needed for every 12 students

Answers

Answer:

I'm not sure what equation is needed here. Could you share the table?

Either way, you can take the number of students there are and multiply that to the number of chaperones needed per group of 12- basically see how many groups of 12 you can fit in the overall group of students

Can you plz help me solve these plss i begg

Answers

Answer:

a): A line has a total degree of 180. So just subtract it. 180-92 is

y=88

b): Similar to the previous, a right angle has a total angle of 90. 90-45=45.

y=45.

These are all the ones I can figure out. I hope someone else can get c) and d).

Victor has a circular clock in his room. The long hand of the clock is the radius with a measure of 6 centimeters. The approximate circumference of the face of the clock is 37.68 centimeters. Which expression best represents the value of π ? Responses 37.686⋅6

Answers

The expression that best represents the value of π is 37.68 / 12.

What is the expression for π?

The circumference of a circle is the distance round the circle. The radius of a circle is the distance from the center of the circle to any point on the circumference.

The formula for circumference of a circle = 2πr

Where:

π = pi

r = radius

π = circumference / 2r

π = 37.68 / (2 x 6)

π = 37.68 / 12

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Are the ratios 8:6 and 6:4 equivalent

Answers

Answer:

no it is not equivalent

Step-by-step explanation:

4/3is not equal to 3/2

Answer:

yes

Step-by-step explanation:

not as a fraction, but as ratios they are equivalent

5. The markings on the number line are evenly spaced. Label the other markings on
the number line.
-30
0
45

Answers

Answer:

Step-by-step explanation:

i don't know if this help :/

One computer in a lab is programmed to back up data at the turn of the minute every five minutes. Another computer is programmed to back up data at the turn of the minute every two minutes. Find the number of times in twenty-four hours that the two computers back up data at the same time.

(Assume that the computers do not back up at the start of the 24-hour period.)

Answers

Answer:

Since the two computers back up at different intervals, we can find the least common multiple of the two intervals to determine how often they back up at the same time. The least common multiple of 5 and 2 is 10. Therefore, the two computers will back up at the same time every 10 minutes. In 24 hours, there are 60 minutes/hour * 24 hours = 1440 minutes. Dividing this by the interval of 10 minutes gives 1440 minutes / 10 minutes/backup = 144 backups. Therefore, the two computers will back up at the same time 144 times in 24 hours.

Step-by-step explanation:

THIS IS KINDA HARD I NEED HELP

Answers

Answer:

4

Step-by-step explanation:

Looking at the stem and leaf plot, we have 4 zoos that have less than 18 sloths, with one zoo having 3, one having 16, and two having 17.

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