AD is the perpendicular bisector of BC.
BD = 5x – 10 and DC = 3x + 10.
Determine the value of x.

AD Is The Perpendicular Bisector Of BC.BD = 5x 10 And DC = 3x + 10.Determine The Value Of X.

Answers

Answer 1

5x-10= 3x+10

5x-3x= 10+10

2x÷2= 20÷2

x= 10

Answer 2

Step-by-step explanation:

as AD bisects them they will be two equal parts so

5x-10=3x+10

5x-3x=10+10

2x=20

divide both sides by 2 and

x=10


Related Questions

How much will a shopper save on a TV that is on sale for 25% off the regular price of $399.99

Answers

Answer:

299.25

Step-by-step explanation:

Im pretty sure this is correct!!

Answer:

$100

Step-by-step explanation:

399.99 * 0.25 = 99.9975 (100)

399.99 - 100 = 299.99

$299.99 = Cost after discount

What is the area of this?

I need step by step

Answers

Answer:

Driveway Area = 218 square feetGarden Area = 230 square feetTotal Area = 448 square feet

See diagram below.

====================================================

Explanation:

Start at the lower left corner of the entire figure. Move 20 ft directly to the right until reach the end of the driveway at the bottom. Now move 10 ft up so you reach the other side of the driveway (the 26 ft side). In the process of moving 10 ft up, mark a new line segment. I've done so in red in the diagram below.

I've also drawn a green box. The red line and green box form a shape of a flag on a flagpole. The pole being 10 ft tall and the green box (flag) is a 6 by 3 rectangle. The 6 is from 26-20 = 6 and the 3 is from 10-7 = 3. Note how I'm subtracting the opposite side values to help figure out the dimensions of this green box.

The 10 ft by 20 ft portion of the driveway is 10*20 = 200 square feet. The green box adds on another 18 sq ft because 6*3 = 18. In all, we have 200+18 = 218 square feet for the driveway.

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

If you want to know the area of the garden, then we first compute the overall area of everything shown. That's 32*14 = 448 square feet. Subtract off the driveway's area to get 448-218 = 230. Therefore, the garden's area is 230 square feet.

2) The number of rose blooms in Betty's garden is 24 more than the number of blooms in May's garden. There
are at least 135 rose blooms in Betty's garden. How many blooms are possible in May’s garden?

Answers

Answer:

There are at least 111 rose blooms in May's Garden.

Step-by-step explanation:

135-24 is 111 and Betty doesn't have a maximum of rose blooms so that means she can have an infinite amount but it also means that may can't have less than 111.

Please let me know if I am incorrect

The mass of the Sun is about 2 × 10^27 metric tons, or 2 × 10^30 kilograms. How many kilograms are in one metric ton?

Answers

Answer:

[tex]\frac{2 * 10^{30} }{2 * 10^{27} } = 10^{3} kg[/tex]

WILL MARK BRAINLEST AND WILL GET 5 STARS REVIEW
Tom’s Taxis charges a fixed rate of $4 per ride plus $0.50 per mile. Carla’s Cabs does not charge a fixed rate but charges $1.00 per mile.
a. Write an equation that represents the cost of Tom’s Taxis.
b. Write an equation that represents the cost of Carla’s cabs.

Answers

Answer:

a. y= 4 + 0.50x  b. y= 1.00x

Step-by-step explanation:

Answer:

a. y = 0.5x +4  b. y = x

Step-by-step explanation:

a. Tom’s Taxis charges a fixed rate of $4 per ride plus $0.50 per mile.

m  = $0.50 per mile

b = $4 per ride

y = 0.5x +4

b. Carla’s Cabs does not charge a fixed rate but charges $1.00 per mile.

m  = $1 per mile

b = $0 per ride

y = x

What is the center and radius of the circle with the given equation x^2 + y^2 + 14x - 12y +69 = 0

Answers

Answer:

Center is (7,-6)

Our radius is 4

Step-by-step explanation:

Subtract 69 to both sides

Complete the square of the x terms and y terms.

[tex] {x}^{2} + 14x[/tex]

[tex] {y}^{2} - 12y[/tex]

(To complete the square divide the coefficient by 2 and square it).

[tex] (\frac{14}{2} ) {}^{2} = 49[/tex]

[tex]( \frac{ - 12}{2} ) {}^{2} = 36[/tex]

Add those terms to the full equation. Add 36 and 49 to the right side as well

[tex] {x}^{2} + 14x + 49 + {y}^{2} - 12y + 36 = 16[/tex]

Simplify the x and y terms into a binomial.

[tex](x + 7) {}^{2} + (y - 6) {}^{2} = 16[/tex]

Set the left side equal to zero separately to find the center and take the square root of the right side to find the radius.

[tex]x + 7 = 0[/tex]

[tex]x = - 7[/tex]

[tex]y - 6 = 0[/tex]

[tex]y = 6[/tex]

[tex]16 = {x}^{2} [/tex]

[tex]4 = x[/tex]

So our center is (-7,6)

Our radius is 4.

What is the area of this figure?

Enter your answer in the box.

___in^2

Answers

Answer:

400

Step-by-step explanation:

8*20/2+16*20=400.

HHHEEELLLPPPPP MMMMMMEEEEEE!!!!!!

Which is the graph of the function g(x)=−x^2−4x−1?

Answers

Answer:

its a, the first one

Step-by-step explanation:

i graphed it have a good day (:

Write the ratios of each for the given triangle below
SinA=
CosA=
TanA=
SinB=
CosB=
TanB=

Answers

Answer:

i have made it in above picture

A piece of wood is 3 1/2 feet long how many total inches long is it?

Answers

Answer:

42 inches

Step-by-step explanation:

1 foot is 12 inches

12 times 3=36

12 divided by 2=6

36+6=42

Ignore the answer I chose it didn't let me click off of it

Answers

Answer:

d i think

Step-by-step explanation:

pretty sure it would be d

Hey guys I need help asap

A salesman earns 15% commission on each household appliance he sells. If he sells 6 toasters at $32 each, what is the commission that he earned?

Answers

Answer:

$28.8

Step-by-step explanation:

6x32=192

15% of 192 is 28.8

Find the errors and correct the following mathematical sentences.​

Answers

Answer:

This is your answer

The students in your class are going on a field trip. The ratio of teachers to students must be 1 to 7.
Which graph shows the number of teachers needed for 28 students?

Answers

Answer:

4 teachers for 28 students

Step-by-step explanation:

28/7 = 4

5/6 + (-4/9) - (-2), is this right??

Answers

Answer:

YES SIR OR I MEANT YES MAM

MY TEAS GONE COLD I WONDERJNV WHY I GOT OUTTA BED ALONE HELP PLEASE

Answers

Answer:

54

Step-by-step explanation:

2/3(7-16)^2

2/3(-9)^2

2/3*81

54

Solve for x (use steps i need to learn this pls)

Answers

Answer:

x = 14

Step-by-step explanation:

The figure shows two chords intersecting each other. Based on the Theorem of Intersecting chords, the product the segments of each chord is equal to the product of the other. This means:

24*x = 21*16

24x = 336

Divide both sides by 24

24x/24 = 336/24

x = 14

Gravel is being dumped from a conveyor belt at a rate of 15 ft3/hr and its coarseness is such that it forms a pile in the shape of an inverted right cone whose height is three times its base radius. How fast is the height of the pile increasing when the pile has a height of 10 ft

Answers

Answer:

0.43 ft/hr

Step-by-step explanation:

dv/dt = 15ft³/hr

Height = 10ft

We are required to get dh/dt

h = 3r

r = h/3

Formula for volume = 1/3πr²h

We put value of h

1/3π(h/3)²h

= 1/3π(h²/9)h

= 1/3πh³/9

= πh³/29

dv/dt = 1/27π.3h²dh/dt

= dv/dt = πh²/9dh/dt

Remember dv/dt = 15

When we put this in we get

dh/dt = 15x9/3.142x10²

= 135/314.2

= 0.43 ft³/hr

Please check the attachment I added also to add you.

Which function could be represented by the graph on the
coordinate plane?

Answers

Answer:

where is the graph?

Step-by-step explanation:

2(3x - 32y) + 3(-2x - 4y)

Answers

the answer to this is > -76y

What is the value of x

Answers

Answer:

180

Step-by-step explanation:

The value of x would be 180

Find the identical expression for the following plz show work

Answers

THAT IS A VIRUS DO NOT GO TO IT DONT GO TO ANY LINK THEY ALL ARD VIRUSES

Help please thank uuuu

Answers

Answer:

B. x = 7; AB = 9, AC = 12

Step-by-step explanation:

12/4 = (x + 2)/(x - 4) (similar triangles theorem)

3 = (x + 2)/(x - 4)

Cross multiply

3(x - 4) = (x + 2)

3x - 12 = x + 2

Collect like terms

3x - x = 12 + 2

2x = 14

x = 14/2

x = 7

✔️AB = x + 2 = 7 + 2

AB = 9

✔️AC = (x + 2) + (x - 4) = (7 + 2) + (7 - 4)

AC = 9 + 3

AC = 12

jessica wondered if elementary school students tend to write more when they are given

Answers

full question plsAnswer:

Step-by-step explanation:

Which expression correctly represents 10 times the difference of a number and six

Answers

Answer:

10(6 - x) or 10(x - 6)

Step-by-step explanation:

Let the number be x.

Answer: 10(6 - x) or 10(x - 6)

Calculate the rate per litre at which a car uses petrol,if it uses 20l of petrol to travel 180 km​

Answers

Answer:

Rate per litre=180km ÷ 20l

=8km/l

Just wondering does anyway else do vava? 8th grade

Answers

Answer:

I have heard of it but I myself do not

Answer:

What's vava just wondering also your in 8th grade?

I need help on this question someone please help. x/4=-12 (this says x divided by 2 equals -8). Explain how you would solve for x and what you would get. I’m in 7th grade so can someone make it easy to read like at the explaining part thanks.

Answers

So since our first example is X/4=-12 the first step would be to multiply 4 to both sides meaning you would multiply 4 by the division of 4 so it cancels out because they’re opposite operations do the same to the -12, so -12x4=-36 x=-36 the other example would be the same multiply 2 to both sides so on the left it would cancel out and on the right it would be -16 which is the answer to x
Hope this could help at least a little

PLEASE HELP ASAP
TRIGONOMETRY

Answers

Answer:

11). x = 25.8°

12). x = 67.3°

Step-by-step explanation:

11). By using sine rule in the given triangle,

   cos(x) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

   cos(x) = [tex]\frac{27}{30}[/tex]

   x = [tex]\text{cos}^{-1}(\frac{9}{10} )[/tex]

   x = 25.84

   x ≈ 25.8°

12). By applying tangent rule in the given triangle,

    tan(x) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

    tan(x) = [tex]\frac{43}{18}[/tex]

    x = [tex]\text{tan}^{-1}(\frac{43}{18} )[/tex]

    x = 67.29°

    x ≈ 67.3°  

Can someone help me? I’ll reward points + brainalist

Answers

Answer:

The answer is B.

Answer:

b) A = π ([tex]5^{2}[/tex])

Step-by-step explanation:

area = π [tex]r^{2}[/tex]

diamter

⇒ 10

radius is half of the diameter

⇒ 10 ÷ 2 = 5

area = 3.14 × [tex]5^{2}[/tex]

Other Questions
Maya bought 6 CDs that were each the same price. Including sales tax, she paid a total of $97.20. Of that total, $5.40 was tax. What was the price of each CD before tax? What's the grammatical function of an adjective?O A. To describe an actionB. To name an actionO C. To describe a nounD. To name a thing 2 10^12 red blood cells have a total mass of 90 grams.Work out the average mass of 1 red blood cell.Give your answer in standard form. plEASE SHOW WORK Rectangles and are similar. Determine the scale factor applied to rectangle to create rectangle . Show your work. Reproduce rectangle at a scale of . Show your work and label measurements for each side of your rectangle.Answer: What did Francois Georges Picot defend? If 2 = 6, what is the degree measure of 5?A. 80B. 220C. 60D. 120 What was shell shock and how did it impact soldiers? Violet made cookies for the bake sale. 7/10 of the cookies are chocolate chip. 3/4 of the remaining cookies are sugar. What fraction of cookies are sugar cookies? Describe the relationship between each pair of angles.a. 1 and 5Corresponding anglesAlternate interior anglesAlternate exterior anglesNone of the aboveb. 2 and 7Corresponding anglesAlternate interior anglesAlternate exterior anglesNone of the abovec. 6 and 8Corresponding anglesAlternate interior anglesAlternate exterior anglesNone of the aboved. 4 and 5Corresponding anglesAlternate interior anglesAlternate exterior anglesNone of the above Helpp I cant get the answer......Whats 6 divided by 2 ( 1 + 2) Help meeeeee, WILL GIVE BRAINLIESTTT. NEEED DONEEE Jamal says that the fraction 3/4 equals 43. Is he correct? val Verde Unified SDhttps://my.hrw.cc& Co my.hrw.com/wwtb/api/viewer.plPersonal Math Trainer Lesson 6.2 - Homework - Homework112131415161718910Gordon types 1,612 words in 26 minutes. Find the unit rate.Gordon typeswords per minute. Which sentence uses details about sound to describe the setting?A. "I stopped every minute or so to catch my breath and pull tinycactus spikes from my toes."B. "Finally I stood still, listening to the barely audible whoosh-whoosh-whoosh from the propellers ..."C. "It's on private property, surrounded by fields that were growingdark under the sunset and rising moon."D. "There's a small diner up on a hill, and I went inside..." What makes a greenhouse gas different than other gasses in the atmosphere? *Greenhouse gasses are always man-made.Greenhouse gasses absorb heat radiating from the Earth's surface.Greenhouse gasses are radioactive.Greenhouse gasses have a green color when light shines through them.Greenhouse gasses are poisonous to most life. How long is the wire that supports the tree105.6 ft3.3 ft- Solve for x. 5000(2)^x = 3500(3)^x Problem and solution of Goldilocks and the the three bears Can you help A B C Or D image is here can someone pls help me with this