Find AC , given that line AD is the perpendicular bisector of BC

Find AC , Given That Line AD Is The Perpendicular Bisector Of BC

Answers

Answer 1

Answer:

AC = 29

Step-by-step explanation:

We'll begin by calculating AD. This can be obtained as follow:

AB = 29

BD = 17

AD =?

AB² = BD² + AD²

29² = 17² + AD²

841 = 289 + AD²

Collect like terms

841 – 289 = AD²

552 = AD²

Take the square root of both side

AD = √552

Finally, we shall determine AC. This can be obtained as follow:

DC = BD = 17

AD = √552

AC =.?

AC² = DC² + AD²

AC² = 17² + (√552)²

AC² = 289 + 552

AC² = 841

Take the square root of both side

AC = √841

AC = 29


Related Questions

YES OR NO PLS HELP URGENT
If two polygons are similar are they necessarily congruent?
YES OR NO? WITH EXPLANATION

Answers

Answer

Conditions for similar polygons. We say two figures are similar if they have the same shape, but not necessarily the same size. If they also have the same size, we say they are congruent. ... If two figures are similar, then they are also congruent.

What product is positive (2/5)(-8/9)(-1/3)(-2/7). (-2/5)(8/9)(-1/3)(-2/7). (2/5)(8/9)(1/3)(-2/7). (-2/5)(-8/9)(1/3)(2/7)

Answers

Answer:

d

Step-by-step explanation:

a. (2/5)(-8/9)(-1/3)(-2/7)= - 32/945

b. (-2/5)(8/9)(-1/3)(-2/7) = -32/945

c. 2/5 * 8/9 * 1/3 * - 2/7 = - 32/945

d. -2/5 * - 8/9 * 1/3 * 2/7 = 32/945

Answer:

D

Step-by-step explanation:

32/945 is the final answer

HELP ASAPPP !
select the correct answer from each drop-down menu.​

Answers

Answer:

3.8; 4

Step-by-step explanation:

In this exercise, you're are required to find the missing values by performing some arithmetic calculations.

For the first part;

Let the missing value be X

Translating the word problem into an algebraic expression, we have;

[tex] X = 2000 * 1.9 * 10^{-6} [/tex]

[tex] X = 3.8 * 10^{-3} [/tex]

For the second part;

Let the missing value be Y.

[tex] 3.8 * 10^{-3} = Y * 9.5 * 10^{-4} [/tex]

[tex] X = \frac {3.8 * 10^{-3}}{9.5 * 10^{-4}} [/tex]

[tex] X = 4 [/tex]

Therefore, the complete sentence would be written as follows;

[tex] 3.8 * 10^{-3} [/tex] is 2000 times greater than [tex] 1.9 * 10^{-6} [/tex]. It is also 4 times greater than [tex] 9.5 * 10^{-4} [/tex]

The president of the math club is conducting a survey to see where the 12th grade class wants to go to their field trip. Instead of asking the whole class, she surveys only the 12th grade members of the math club. She records the choices and plans to present the results to the school principal. what kind of sampling did she use?

Answers

Convenience sampling.

Which of the following quadrilaterals must be a parallelogram according to the minimum requirements?

Answers

The answer is C because there are 2 arrow which mean it's parallel.

The minimum requirements needed to be a parallelogram is found in Option A quadrilateral, thus Option A is our correct answer.

There are four quadrilaterals given in the option.

We need to check which quadrilateral has the minimum requirements.

What is the minimum requirement to construct a parallelogram?

The construct a Parallelogram we need:

- The measure of any two non-parallel sides.

- The measure of an angle.

In a Parallelogram, opposite sides are equal and parallel and the opposite angles are equal.

Checking the options given.

Option A:

- Two parallel and equal sides.

- Equal opposite angles.

It meets the minimum requirement to be a parallelogram.

Option B:

The quadrilateral has only two parallel and equal sides.

It does not meet the minimum requirements to be a parallelogram.

Option C:

The quadrilateral has only one parallel and equal side.

It does not meet the minimum requirements to be a parallelogram.

Option D:

It has no parallel and equal sides.

It has equal opposite angles and diagonal bisecting.

But it does not meet the minimum requirements to be a parallelogram.

We see that the minimum requirements needed to be a parallelogram is found in option A,

Hence Option A is our correct answer.

Learn more about parallelogram here:

https://brainly.com/question/26809733

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What is the simplified form of the complex fraction? 2x2+7x+6x2+x−64x2−9x2−5x+6

Answers

Answer:

3x - 124

Step-by-step explanation:

kindly find solutions in the picture above

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The simplified form of the complex expression 2x² + 7x + 6x² + x - 64x² - 9x² - 5x + 6 is

-65x² + 2x + 6

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

2x² + 7x + 6x² + x - 64x² - 9x² - 5x + 6

Combine all like terms.

(2x² + 6x² - 64x² - 9x²) + (7x - 5x) + 6

(8x² - 73x²) + 2x + 6

-65x² + 2x + 6

There are no common factors or like-terms to simplify.

So,

The simplified form is -65x² + 2x + 6

Thus,

The simplified form of the complex expression 2x² + 7x + 6x² + x - 64x² - 9x² - 5x + 6 is

-65x² + 2x + 6

Learn more about expressions here:

https://brainly.com/question/3118662

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Lmk if you understand thanks

Answers

Answer:

y = 100,000 (1 + 0.04) ²⁰

Step-by-step explanation:

Here:

100,000 = original amount.

0.04 = rate (a percent)

and

20 = number of times you need to run the simulation.

which parent function is represented by the graph?

Answers

Answer:

y=x

Step-by-step explanation:

Which is true about the triangles pictured?
С
60
609
50
70
70°
50
B
D
The triangles are not congruent.
The triangles are congruent by Angle-Angle-Angle.
If AC EF. then the triangles could be proved congruent by Angle-Side-Angle.
if BC EF, then the triangles could be proved congruent by Angle-Side-Angle.

Answers

Answer:    The triangles can be proven congruent from angle-angle-angle.

Step-by-step explanation:       I know this because the angles match up with each other

Find the sum or difference of the polynomials. Write your answer in descending order (2x2 + 5x – 12) – (-4x2 + 2x+6)

Answers

Answer:

The correct answer is 6x^2 + 3x - 18

Mrs.Click has a strawberry patch in her garden. It's border is 4/5 meters wide and 3/2 meters long. What is the area of Mrs.Clicks Garden?

Answers

Answer

Mrs. Click's Garden is 6/5 or 1 1/5 square meters.

Explanation

Mrs. Click's has a rectangular garden. To find the area of a rectangle, you multiply the width by the length. To find the area of Mrs. Click's Garden, you multiply 4/5 by 3/2.

To multiply fractions, you multiply the numerator by the denominator.

4×3 is 12 and 5×2 is 10. You get the fraction 12/10, which can be simplified to 6/5, or 1 1/5.

calculate the value of 120 is increased by 120%​

Answers

Answer:

144

Step-by-step explanation:

currect answer for simple question

Answer:

264

Step-by-step explanation:

First find the amount of increase

120 * 120%

120 * 1.2

144

Add this to 120

120 +144

264

anyone knows the answers ? need help with this.

Answers

Answer:

2.

a) X=5.0791

(sorry I only know that one)

Does anybody know the answer? I need help

Answers

I saw that this is from 2 weeks ago so it's probaly too late to answer... if you ever have trouble multiplying exponents use symbolab it's an online calculator that's really good (i use it on all my math exams :)

PLEASE HELP! I WILL GIVE YOU BRAINLIEST!

Answers

Answer:

sry, i am doing this for points

mary has 17 m of rope. She wishes to cut it in three pieces so that she has 3 m more than amanda, and amanda has 2 m less than Sarah.

Answers

Answer:

Length of Sarah rope    = 6 m

Length of Amanda's rope  = 4 m

Length of Mary's rope  = 7 m

Step-by-step explanation:

Let the length of Sarah rope = x

Length of Amanda's rope= x - 2

Length of Mary's rope = (x - 2 ) + 3 = x - 2 + 3 = x + 1

Length of rope = 17 m

x + x - 2 + x + 1 = 17

Combine like terms

x + x + x - 2 + 1 = 17

       3x  - 1 = 17

Add 1 to both sides

3x = 17 + 1

3x = 18

Divide both sides by 3

x = 18/3

x = 6

Length of Sarah rope = x  = 6 m

Length of Amanda's rope= x - 2 = 6 - 2 = 4 m

Length of Mary's rope =   x + 1 = 6 + 1 = 7 m

Write the number one thousand and four in figures

Answers

Answer:

1004 is the correct awnser

Step-by-step explanation:

pls give me brainliest

Answer:

1004

Step-by-step explanation:

one thousand  = 1000

four = 4

1000+4 =1004

Pleasee help me with this!!

Answers

Answer:

#1 is f.

#2 is d.

#3 is a.

#4 is b.

#5 is c.

#6 is g.

#7 is e.

Step-by-step explanation:

The digit "9" is in the ten's place because it is two numbers/spaces left from the decimal. If you make all the other digits "0", you'll be left with a value of 90.

The digit "1" is in the one's place because it is one number/space left from the decimal. Applying the same concept of making all the other digits "0", you'll be left with a value of 1.

The type of digits to the right of the decimal, starting from left to right, are the tenths place, hundredths place, thousandths place, ten-thousandths place, and millionths. Remember and know those digit types based on their position away from the decimal. The value will be there for you to see afterward.

What is the area of this triangle

Answers

Answer:

17.5 units

Step-by-step explanation:

im not good at explaining sorry

Can you guys help me find ST on the left and WY on the right

Answers

Answer:

ST = 17 and WY = 32

Step-by-step explanation:

3

SV is a perpendicular bisector and divides Δ RST into 2 congruent triangles with

ST = SR , that is

7x - 4 = 3x + 8 ( subtract 3x from both sides )

4x - 4 = 8 ( add 4 to both sides )

4x = 12 ( divide both sides by 4 )

x = 3

Then

ST = 7x - 4 = 7(3) - 4 = 21 - 4 = 17

-------------------------------------------------------------------

4

Δ WXY and Δ WXZ are congruent ( both have 3 congruent angles ), then

WZ = WY , that is

9x - 13 = 6x + 2 ( subtract 6x from both sides )

3x - 13 = 2 ( add 13 to both sides )

3x = 15 ( divide both sides by 3 )

x = 5

Then

WY = 6x + 2 = 6(5) + 2 = 30 + 2 = 32

Using long division, what is the quotient of this expression?
X^4+4x^3-5x^2+x-3/x^2+x-3

Answers

Answer:

Using long division method the answer is B

Step-by-step explanation:

x²+3x-5+(15x-18)/x²+x-3

1, Tính:
a,√27 + 7√5 : √2

Answers

Solution:

[tex]\rightarrow\sf \sqrt{27} + 7 \sqrt{5} : \sqrt{2 } \\ = \sf \sqrt{9(3)} + 7 \sqrt{5} : \sqrt{2 } \\ = \sf \sqrt{ {3}^{2} } \times 3 + 7 \sqrt{5} : \sqrt{2} \\ \rightarrow \large\boxed{\sf{\red{3 \sqrt{3} + 7 \sqrt{5} : \sqrt{2} }}}[/tex]

Answer:

[tex]\large\boxed{\sf{\red{3 \sqrt{3} + 7 \sqrt{5} : \sqrt{2} }}}[/tex]

[tex]\color{red}{==========================}[/tex]

✍︎ʜɴǫɴ

✍︎ʀʀʏɴʟʀɴɪɴɢ

ʀ

Evaluate Sigma 5 n=1 3(-2)^n-1
Answer choices
-93
-33
33
93

Answers

Answer:

93

Step-by-step explanation:

the answer is 93 no -93 i think so

SOMEONE PLEAS HELP ME OUTTTTT!!!

Answers

The answers is 44 I think

Answer:

31 degrees

Step-by-step explanation:

the side with the length of 29 can be seen as the radius of a circle.

and the sin value of an angle is the distance of a point on that circle from the x-axis. as the standard sin function is for the standard circle with radius 1, we need to multiply this by the actual radius.

15 = sin(?)×29

sin(?) = 15/29 = 0.5172...

? = 31.14... degrees ≈ 31 degrees

what are the steps in solving
12x+4=20x+24

Answers

Answer:

x = -5/2

Step-by-step explanation:

12x+4=20x+24

-8x + 4 = 24

-8x = 20

x = -5/2

When the focus and directrix are used to derive the equation of a parabola, two distances were set equal to each other. = StartRoot (x minus x) squared + (y minus (negative p)) squared EndRoot = StartRoot (x minus 0) squared + (y minus p) squared EndRoot The distance between the directrix and is set equal to the distance between the and the same point on the parabola.

Answers

Answer:

The answer is "A point on the parabola  and Focus".

Step-by-step explanation:

[tex]= \sqrt{(x - x)^2 + (y- (-p))^2} = \sqrt{(x-0)^2+ (y-p)^2} \\\\= \sqrt{(0)^2 + (y+p))^2} = \sqrt{(x)^2+ (y-p)^2} \\\\= \sqrt{(y+p))^2} = \sqrt{(x)^2+ (y-p)^2} \\\\= (y+p) = (x)+ (y-p) \\\\= y+p = x+ y-p \\\\=2p=x\\\\=x=2p[/tex]

Whenever the focus and also the guideline are utilized in determining the parabolic formula, two distances have indeed been equal.

The distance from the direction, as well as a parabolic point, was equal to the distance from the center to a parabolic point.

Answer:

The distance between the directrix and a point on the parabola is set equal to the distance between the focus and the same point on the parabola.

Step-by-step explanation:

Hope this helps! :)

A company rents water tanks shaped like cylinders. Each tank has a radius of 6 feet and a height of 2 feet. The cost is $30 per cubic foot. How much does it cost to rent one water tank

Answers

Plug the numbers into the formula of pi x the radius^2 times the height. This will give you pi x 36 x 2 or 72 pi. Multiply 72 by 3.14 and then multiply it by 30. This gives a cost of $6,782.40 to rent one water tank

Step-by-step explanation:

Volume of tank = (pi)×(radius squared)×(height)

= 3.14×(6×6)×2

= 3.14×36×2

= 226.08 cu.ft

Each cu.ft is rented for $30

So, for 226.08 cu.ft is,

=226.08×$30

=$6782.3

If two triangles have three congruent, corresponding angles, what additional information is needed to prove that the triangles are congruent?

Answers

Answer:

one side length has to be equal in both triangles.

Answer:

To prove that two triangles with three congruent, corresponding angles are congruent, you would need to have at least one set of corresponding sides that are also congruent. You could then use ASA or AAS congruence theorems or rigid transformations to prove congruence.

Step-by-step explanation:

escample: If 600 Students registered for mat 101,300 for Phy 101 while 173 students registered for both mat101 and phy 101 in 2021 first semester, How many Students registered the two course​

Answers

I don't answer the grammar but if you asked how many kids in total (not counting duplicate people that signed up for both) then 1073 student registered for the courses

Please help ASAP!!
What is the value of x?

Answers

Answer:

45°

Step-by-step explanation:

80 + 55=135

Every type of triangle has 180 degrees.

180-135=45 degrees.

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