In ΔABC, AB = 16 in, BC = 9 in, AC = 10 in. AD is perpendicular to the extension of BC . Find CD.

Answers

Answer 1

Answer:

Your answer is 4.17

1) Draw the figure; make sure angle C is obtuse.

(2) There are two right triangles -- ADC and ADB.

(3) Let CD=x and AD=y; use the Pythagorean Theorem to form two equations in x and y.

4) Solve the pair of equations. The x^2 and y^2 terms cancel, leaving you with a linear equation in x which is easily solved to find the answer.

So, The length of CD will be 25/6 = 4.17


Related Questions

a cubic function has the following properties
f'(1)=0
f'(3)=0 = f(3)=0
f(0) =0
f'(2)>0
Draw a rough sketch of f​

Answers

There you go, this is the answer to your question it was very easy think next time

50 POINTS PLEASE HELP QUICK
The graph of f(x) = (0.5)^x is replaced by the graph of g(x) = (0.5)^x − k. If g(x) is obtained by shifting f(x) down by 2 units, then what is the value of k?
k = 2
k equals one half
k = −2
k equals negative one half

Answers

Answer: 2

Step-by-step explanation:

See attached image

What is the measurement of angle C?

Answers

Answer:

84 degrees

Step-by-step explanation:

180-96=84

Jasmine had $120,000 last year.
This year she has $50,000.
What is the percentage
difference?
[?]%
(Round your answer to the nearest percent.)
Enter

Answers

Answer:

[tex] \approx58\%[/tex]

Step-by-step explanation:

Initial amount = $120,000

Final amount = $50,000

Difference in amount = 120,000 - 50,000 = $70,000

Difference percentage [tex]=\frac{70,000\times 100}{120,000}[/tex]

Difference percentage =58.33%

Difference percentage[tex] \approx58\%[/tex]

Two numbers are in the ratio 3 : 5. if each number is increased by 10, the ratio becomes 5 : 7.The numbers are .​

Answers

Let x be the number

Given 3x and 5x --------------- (i)

(3x+10)/(5x+10) = 5/7

On cross multiplication we get :-

21x + 70 = 25x + 50

On solving we get :-

4x = 20

x = 5

on substituting x in (i) we get 15 and 25.

The sum of a number and its square is 6. Find the number

Answers

Answer: The sum of a number and its square is 6. Find the number

Step-by-step explanation:

n + n^2 = 6 n^2 + n - 6 = 0 factoring ___ (n + 3)(n - 2) = 0 n + 3 = 0 ___ n = -3 n - 2 = 0 ___ n = 2 two solutions 

Answer:

n = -3, 2

Step-by-step explanation:

We're given:

The sum of a number and its square is 6

Let the number be n.

The sum of a number and its square is 6⇒ [tex]n+n^2=6[/tex]

[tex]n+n^2=6[/tex]

⇒ Move everything to one side of the equation:

[tex]n+n^2-6=0[/tex]

⇒ Organize in [tex]ax^2+bx+c=0[/tex] form:

[tex]n^2+n-6=0[/tex]

⇒ Factor:

[tex]n^2-2n+3n-6=0\\n(n-2)+3(n-2)=0\\(n+3)(n-2)=0[/tex]

⇒ Use the zero-product property to find n:

[tex]n+3=0\\n=-3[/tex]       or       [tex]n-2=0\\n=2[/tex]

really need help with my aleks

Answers

Answer:

(4x -4)° +x° +(6x-3)° = 180°J = 99°K = 64°L = 17°

Step-by-step explanation:

The relation that helps you write an equation for x is, "the sum of angles in a triangle is 180°."

__

equation

  (4x -4)° +x° +(6x -3)° = 180° . . . . . sum of angles in this triangle

solution for x

  11x -7 = 180 . . . . . . . divide by °, collect terms

  11x = 187 . . . . . . . . add 7

  x = 17 . . . . . . . . . divide by 11

angle values

  m∠J = (6x -3)° = (6(17) -3)° = 99°

  m∠K = (4x -4)° = (4(17) -4)° = 64°

  m∠L == 17°

From the top of a 180-foot tall lighthouse, the angle of
depression to a ship in the ocean is 27º. How far is the
ship from the base of the lighthouse?
inch tall me

Answers

Reading the given Question , we get to know that 180 ft. is the height of lighthouse and 27° is the angle of depression from top of it to a ship in the ocean

(Figure is attached )

We know , Angle Of depression = Angle Of elevation

For finding base length from the ship to base of lighthouse ,

Tanθ = perpendicular/base

Tan 27° = 180ft/base

Base = 180/0.5095 (Value of tan 27° is 0.5095)

Base = 353.28 ft.

Base = 4239.36 inches

Please im been stuck on this for ages​

Answers

Liam’s mistake is that he translated one part of the triangle to another part, rendering the translation inaccurate. The correct answer is that Shape F moves 5 units to the left and 6 units up.

In an orchard, there are 15 apple trees, 26 orange trees, and a cherry tree. What is the ratio of apple trees to cherry trees?


A: 41:1

B: 15:14

C: 1:15

D:15:1


NO LINKS

Answers

Answer:

D    15:1

Step-by-step explanation:

15 apple trees

26 orange trees

1 cherry tree

apple trees : cherry trees

       15        :         1

Answer: D    15:1

When you have your final draft, you are ready to_________your essay using the work processor.
A. Peer edit
B. Publish
C. Revise
D. Prewrite

Answers

Answer:

C) Revise

Step-by-step explanation:

A final draft needs to be revised before it can be published

100% O De a
Becca surveyed the students at her school to find out which cellphone company they use. Her results are listed in the table.
Freshman Sophomore Junior Senior Total
Company A 27 34 24 18 103
Company B 10 15 43 42 110
Company 40 36 34 30 140
77 85 101 90 353
Total
What is the probability that a randomly chosen student is a junior who uses company B?
ОА.
43
353
OD
43
101
OB.
101
353
O E
-43
110
Ос.
110
353

Answers

Answer:

[tex] \frac{43}{110} [/tex]

Step-by-step explanation:

43 is the total amount of junior students

while 110 is the total amount of students who use Company B

and... in probability it's never more than one that's why it isn't

[tex] \frac{110}{43} [/tex]

Hope it helps

Determine the volume of a cube with sides of 30mm

Answers

Answer: Hello, your answer would be [tex]2.7x10^-5m^3[/tex]

Step-by-step explanation:

[tex]30mm[/tex]

[tex]a=0.03m[/tex]

[tex]V=a^3=0.03^3=2.7x10^-5m^3[/tex]

(the answer is also in the picture)

Answer:

V≈2.7×10^-5m³

Step-by-step explanation:

a=edge

Unit Conversion:

a=30mm/1000m

a=0.03m

Solution

V= a³= 0.03³

a³=0.03x0.03x0.03 ≈ 2.7×10^-5m³

Find the mean, median, mode, and range for the data set.
12, 46, 32, 18, 26, 41, 46
5890 108 134 115 221
7.3.16

Answers

Answer:

515.1

Step-by-step explanation:

easy

Help pls 85 points??

Answers

It's because most of them are the same measurements therefore are the same angles. 1 is just the name of the triangle and is based off their sides and measurements

.
Jill rolled a regular 6-faced die three times and got 2 each time.
What is the probability that she will roll 2 again on the next roll?

Answers

Answer: 1/6

Step-by-step explanation:

Since there’s only one side on the dice that has two on it out of six sides it has to be 1/6.

1/6 because there are six sides of the dice and only one 2 side so the answer is 1/6

Trey earned $23, $26, $25, $24, $23, $24, $6, $24, and $23 in tips working at a deli. Find the mean of the amounts of tips he earned.

Answers

Answer:22

Step-by-step explanation:

23 plus 26 plus 25 plus 24 plus 23 plus 24 plus 6 plus 24 plus 23= 198 so count how many numbers there are we had to add so its 198 divided by 9 gives you the answer  22

PLS HELP ME

Congruent yes or no
Congruent? _______
If so, what property? ________

Congruent yes or no
Congruent? _______
If so, what property? ________

Congruent yes or no
Congruent? _______
If so, what property? ________

Congruent yes or no
Congruent? _______
If so, what property? ________

Answers

Answer:

First picture: SAS and not existent, so not congruent

Second picture: AAA does not exist, so not congruent

Third picture: SAS for both (yes)

Forth picture: AAS for both (yes)

Step-by-step explanation:

Sorry for no long explanation, but if you have any specific questions, feel free to ask in the comments

Hope this helps! If you found my answer helpful, please consider marking me brainliest. Thank you!

In circle O, AD and BE are diameters. The measure of arc AB is 55° and the
measure of arc CD is 25º.
What is the measure of BC?
80
110
90
100

Answers

100. the diameter means the other half, so arc AD is 180 on both sides. so that means we can do 180-(25+55), which equals 100

Answer:

Arc AB = 55°

Angle AOB = 55° ( Centre angle is equal to respective arc )

Arc CD = 25°

Angle COD = 25° ( Centre angle is equal to respective arc )

Angle AOB + Angle BOC + Angle COD = 180° ( AD is the diameter)

55° + Angle BOC + 25° = 180°

Angle BOC + 80° = 180°

Angle BOC = 100°

Help me please
Simplify (5x3 + 7x - 8) + (2x3 – 5x2 – X + 3). Choose the standard form of the answer.

A. 7x3 + 6x - 5x2 - 5
B. 7x3 - 5x2 + 6x - 5
C. 7x3 – 5x2 + 6x + 5
D 7x3 – 5x2 + 8x - 5

Answers

Answer:

==7x3−5x2+6x−5

Step-by-step explanation:

=5x3+7x+(-8)+2x3+−5x2+−x+3

Combine Like Terms:

=5x3+7x+−8+2x3+−5x2+−x+3

=(5x3+2x3)+(−5x2)+(7x+−x)+(−8+3)

=7x3−5x2+6x−5

The pool where Asha swims is rectangular.

It is 2500 cm long and 1250 cm wide.

The four sides of the swimming pool are 150 cm deep.

They are covered with small square tiles of different colours.

Answers

The rectangular pool where Asha swims would need 4.6875 * 10⁸ cm³ of water to make it full.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

The pool where Asha swims is rectangular. It is 2500 cm long, 1250 cm wide and 150 cm deep.

Hence:

Volume of the pool = 2500 * 1250 * 150 = 4.6875 * 10⁸ cm³

The rectangular pool where Asha swims would need 4.6875 * 10⁸ cm³ of water to make it full.

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

NEED HELP ASAP
The system has

One solution

Two solutions

No solution

An infinite number of solutions

Answers

Answer:

The answer is one solution because the graphs are together in one specific point.

Answer:

Two solutions

Step-by-step explanation:

James ordered a $10.20 meal and Mark ordered a $9.50 meal. If the sales tax is 7% and they leave a 15% tip on the price of the meal including tax, then what was the tota!?

Answers

Answer:

The total cost of the meal is $24.24

Step-by-step explanation:

Step 1: Combine the two meal costs.

10.20 + 9.50 = 19.70

Sales tax is 7%, so multiply 19.70 by 0.07 then add the sum to 19.70

19.70 * 0.07 = 1.379

19.70 + 1.379 = 21.079

They leave a 15% tip on the meal, including tax, so take 15% of 21.079 or 21.079 * 0.15, which equals 3.16185

Add 3.16185 to 21.079

This equals 24.24085

Round down to $24.24

136 × (8 + (-4) = 136x8+136 × - 4​

Answers

Answer:

544

Step-by-step explanation:

Distributive Property: a*(b +c) = (a*b) + (a*c)

   136 * ( 8 + (-4 ) = 136 * 8 + [ 136 * (-4) ]

                           = 1088 - 544

                           = 544

A function is shown below.
f(x) = 8x - 11

What value of x makes f(x) = 21?

Answers

f(x)=8x-11
f(21)
x=21
f(21)=8(21)-11
f(21)=168-11
f(21)=157

The correct value in this function is f(21) = 157

This question is related to substitution of values. To solve it, just: change x by the indicated value and thus calculate normally.

– The given function being f(x) = 8x - 11, replace X by 21:

f(x) = 8x - 11

f(21) = 8 . 21 - 11

– Finally, just calculate the expression now, like this, multiplying and subtracting the numbers:

f(21) = 8 . 21 - 11

f(21) = 168 - 11

f(21) = 157

Therefore, the correct value of this function will be f(21) = 157

When the core of a reactor overheated, what happened at Chernobyl?
A. Power was cut off to Europe for six months
B. Radiation was released across Europe
C. The power station exploded killing many
D. Though it overheated, no negative impacts occurred

Answers

Answer: D

On April 26, 1986, the Number Four RBMK reactor at the nuclear power plant at Chernobyl, Ukraine, went out of control during a test at low-power, leading to an explosion and fire that demolished the reactor building and released large amounts of radiation into the atmosphere. When the core of a reactor overheated, what happened at Chernoby Though it overheated, no negative impacts occurred

Step-by-step explanation:

find the length of a diagonal of a square whose side is 2 cm​

Answers

Answer:

2√2 cm

Step-by-step explanation:

Formula to be understood :

Diagonal of a square = Side length√2

Deriving the formula :

Apply Pythagorean Theorem by taking the side lengths as altitudes and the diagonal as a hypotenuseside length² + side length² = hypotenuse²2(side length)² = hypotenuse²hypotenuse = side length√2

Solving for the length of the diagonal :

diagonal = 2√2 cm
Side=a=2cm

Length of diagonal

side√2a√22√2cm

A car cover a distance 300 miter in 50 second How much distance a car covers in 1 second​

Answers

Divide total distance by total seconds:

300 meters / 50 seconds = 6 meters per second.


Answer: 6 meters

What are the zeros of the function defined by x +x-12?
A) {-4, -3} B) {-4, 3} C) {-3, 4) D) {3,4}

Answers

Answer:

Step-by-step explanation:

(x + 4)(x - 3)=0

x + 4 = 0

x = -4

x - 3 = 0

x = 3

answer B

what is the approximate length of arc s on the circle ? A) 5.23 in B) 41.87 in C) 52.36 in D) 104.67 in

Answers

Answer:

C

Step-by-step explanation:

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