In the diagram, Triangle ABC ~ Triangle ACD. If AD = 12 and DB = 15, What is AC?

Answers

Answer 1

Answer:

9

Step-by-step explanation:

DB^2=AD^2+AC^2

15^2=12^2+AC^2

AC^2=225-144

AC^2=81

AC=√81

AC=9


Related Questions


Claim: Fewer than 92% of adults have a cell phone. In a reputable poll of 1207 adults, 85% said that they have a cell phone. Find the value of the test statistic,
Round to two decimal places as needed

Answers

Answer:

- 6.547

Step-by-step explanation:

Given that:

Sample size (n) = 1207

p = 0.85

p0 = 0.92

The test statistic :

Z = (p - p0) / √(p0(1 - p0) / n)

Z = (0.85 - 0.92) / √(0.92(1 - 0.85) / 1207)

Z = - 0.07 / √(0.92(0.15) / 1207)

Z = - 0.07 / √0.0001143

Z = - 0.07 / 0.0106926

Z = - 6.5465446

Z = - 6.547

pls anwer quick, i need this before tomorrow

Answers

Answer:

SYNTAX ERROR

Step-by-step explanation:

The average number of passes in a football game is right skewed with mean 75 and variance 961. If we sample 100 random games, what is the probability our average would be more than 83.7?

Answers

Answer:

0.0066

Step-by-step explanation:

Given that:

Mean [tex]\mu[/tex] = 75

Variance [tex]\sigma^2 =961[/tex]

The standard deviation [tex]\sigma = \sqrt{961} = 31[/tex]

The sample size n = 100

[tex]\mu = \mu_{\overline x} = 75[/tex]

[tex]\sigma _{\overline x} = \dfrac{\sigma }{\sqrt{n}}[/tex]

[tex]\sigma _{\overline x} = \dfrac{31 }{\sqrt{100}}[/tex]

[tex]\sigma _{\overline x} = \dfrac{31 }{10}}[/tex]

[tex]\sigma _{\overline x} = 3.1[/tex]

[tex]P(\overline x > 83.7) = 1 - P( \overline x < 83.7)[/tex]

[tex]P(\overline x > 83.7) = 1 -P\bigg ( \dfrac{\overline x - \mu_{\overline x} }{\sigma _{\overline x}} < \dfrac{83.7 - 76}{3.1} \bigg)[/tex]

[tex]P(\overline x > 83.7) = 1 -P\bigg ( Z< \dfrac{7.7}{3.1} \bigg)[/tex]

[tex]P(\overline x > 83.7) = 1 -P ( Z< 2.48)[/tex]

Using the Z table;

P(x > 83.7) = 1 - 0.9934

P(x > 83.7) = 0.0066

Thus, probability = 0.0066

Jonathan wants to make mashed potatoes for eight people. He found a recipe which feeds two people and requires five ounces of potatoes. How many potatoes does he need? (express your answer in pounds and ounces) (1 lb = 16 oz)

ANSWER ASAP
SHOW WORK

Answers

Answer:

2lb 32 oz.

Step-by-step explanation:

because 2=5 so 8=32  

32 divided by 2 =16 so 32 oz  2lb

HELP DUE IN 20 minutes

Answers

Shortest to longest

C
B
A

How does carbon move from plants to animals?
Group of answer choices

Photosynthesis

Decomposition

Ingestion (eating)

Respiration

Answers

Answer:

Carbon moves from plants to animals. Through food chains, the carbon that is in plants moves to the animals that eat them. ... Animals and plants need to get rid of carbon dioxide gas through a process called respiration. Carbon moves from fossil fuels to the atmosphere when fuels are burned.

Step-by-step explanation:

Answer:

Photosynthesis

Step-by-step explanation:

PLEASEEEE HELPPP MEEE
6 and 7 PLEASE

Answers

Answer:

Question 6

[tex]\left(5a+2\right)\left(a+4\right)=\:5a^2+22a+8[/tex]

Question 7

The width is 2x.

Step-by-step explanation:

                                           Question 6)

Expand

[tex](5a+2)(a+4)[/tex]

solving to the expand

[tex](5a+2)(a+4)[/tex]

[tex]\mathrm{Apply\:FOIL\:method}:\quad \left(a+b\right)\left(c+d\right)=ac+ad+bc+bd[/tex]

[tex]a=5a,\:b=2,\:c=a,\:d=4[/tex]

so the expression becomes

[tex]=5aa+5a\cdot \:4+2a+2\cdot \:4[/tex]

[tex]=5aa+5\cdot \:4a+2a+2\cdot \:4[/tex]

[tex]=5a^2+20a+2a+8[/tex]

adding similar elements: 20a+2a=22a

[tex]=5a^2+22a+8[/tex]

Hence,

[tex]\left(5a+2\right)\left(a+4\right)=\:5a^2+22a+8[/tex]

                                                  Question 7)

Given

[tex]A\:=\:8x^2[/tex][tex]l=4x[/tex]

Using the formula

width = Area/Length

          [tex]=\:\frac{8x^2}{4x}[/tex]

          [tex]=2x[/tex]                  ∵ [tex]\mathrm{Divide\:the\:numbers:}\:\frac{8}{4}=2[/tex]

Therefore, the width is 2x.

An industrial factory makes 2 3/8 yards of rope every minute. The cost of each yard is $4.06. What is the total cost of rope that can be made in 15 minutes?

A. $36.63
B. $60.90
C. $21.44
D. $144.66

Answers

The answer is 144.66

\The graph for the equation y = negative x + 2 is shown below. On a coordinate plane, a line with positive slope goes through (0, 2) and (2, 0). If another equation is graphed so that the system has an infinite number of solutions, which equation could that be? y = negative 2 (x minus 1) y = negative (x + 2) y = negative one-fourth (4 x minus 8) y = negative one-half (x + 4)

Answers

An infinite number of solutions is generated with a multiple of the first function, hence, the correct option is:

[tex]y = -\frac{1}{4}(4x - 8)[/tex]

The graph given is:

[tex]y = -x + 2[/tex]

When two equations are multiple, the system involving these two equations has infinite solutions.

Among the options, the multiple of the original function is:

[tex]y = -\frac{1}{4}(4x - 8)[/tex]

[tex]y = -x + 2[/tex]

Hence, [tex]y = -\frac{1}{4}(4x - 8)[/tex] is the correct option.

A similar problem is given at https://brainly.com/question/25718527

The correct answer is C

-Banana

x^3-x^2-4x
factor completely

Answers

Answer:

Cannot be factored further

Step-by-step explanation:

[tex]x^{3} -x^{2}-4x=x(x^{2}-x-4 ) \\[/tex]

Answer:

x(x^2-x-4)

Step-by-step explanation:

Is 9 yards bigger then 324 inches

Answers

Answer:

No

Step-by-step explanation:

Because they are equal

Answer: no , it’s equal

Step-by-step explanation:

9 yards is equal to 324 inches

Cuz there are 36 inches in 1 yard

So 36(9) = 324 inches!!

Please help!!! Thanks


Math problem

Answers

Answer:

67

Step-by-step explanation:

(5-2)180

=540

540-131-105-153-84

=67

Which congruence theorem can be used to prove ABDA - ABDC?

Answers

Answer:

SAS(SIDE ANGLE SIDE)

Step-by-step explanation

AB side in ABDA = AB side in ABDC

ABD angle in  ABDA= ABD angle in ABDC

BD side in ABDA = BD side in ABDC

The congruence theorem can be used to prove ABDA - ABDC is SAS.

What is Congruence of Triangles?

Congruence of triangles: Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure. These triangles can be slides, rotated, flipped and turned to be looked identical. If repositioned, they coincide with each other. The symbol of congruence is’ ≅’.

According to the questions,

AB side in ABDA = AB side in ABDC

ABD angle in  ABDA= ABD angle in ABDC

BD side in ABDA = BD side in ABD

Thus SAS is applied.

Hence SAS(Side Angle Side) is the required answer.

To learn more on congruence click :

https://brainly.com/question/20418145

#SPJ2

are the triangles congruent ?

Answers

I’m pretty sure there not but I might be wrong

What is the quotient of 7-1/7-2?

Answers

Answer:

7

Step-by-step explanation:

Help me!, CERTAIN ANSWRS INLY I DONT UNDEDRSTNDDDDDD THANK YOU IN ADVance

Answers

Answer:

Initial temperature = 20° C

Temperature after 18 minutes = 4° C

Step-by-step explanation:

Function representing the relation in the temperature of the soda and time has been given as,

T(x) = [tex]-8+28e^{-0.045x}[/tex]

Here x = number of minutes since the can was placed in the cooler

For initial temperature of the soda,

x = 0,

T(0) = [tex]-8+28e^{(28\times 0)}[/tex]

      = -8 + 28(1)

      = 20° C

For the temperature after 18 minutes,

x = 18,

T(18) = [tex]-8+28.e^{-0.045\times 18}[/tex]

       = [tex]-8+28.e^{(-0.81)}[/tex]

       = [tex]-8+12.456[/tex]

       = 4.456 C

       ≈ 4° C

Answer please :) (15 points )

Answers

Answer:

its b

Step-by-step explanation:

Answer:

its b

Step-by-step explanation:

yh its b what else am i ment to say

How many times does the digit one appear from 101 to 200

Answers

118 times
Gdhejegevehsgcsfshahs

Answer:

Step-by-step explanation:

Let's get the answer first and then we can discuss how it is done. The answer is 119.

There is a problem. The question does not state whether or not 101 is included. If it is 119 is correct. If the question is between 101 and 200 then the answer will be 117.

How was it done? A programming language was used. So it counted by brute force.

From 101 to 120 we get

101  102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120

32  Certainly there must be a quicker way

101 = 2

102 to 109 = 1 * 8 = 8

110 to 119 = 10*2 = 20  

111 has an extra 1  = 1

120 has                    1

Total                       32  

From here it gets a bit easier.

121                      2

122 - 129            8

total                  10

130                     1

131                      2

132 - 139           8  

total                  11

140 to 149        11

150 to 159        11

160 to 169        11

170 to 179         11    

180 to 189         11

190 to 199         11

total 7 * 11 + 32 + 10 = 119

can someone please help!!!

Answers

Answer:

WARWRAESTRDYTFJYwarehstrdjhtfj

Step-by-step explanation:

999x85 i need help getting the answers for this question

Answers

the answer for this is 84915

List the sides of Triangle STU in order from greatest to least if angle S=7x-36, angle T=5x-1, and angle U=x+9

A. ST,TU,ST
B. ST,TU,SU
C. TU,ST,SU

Answers

Answer:

SU, TU, ST

Step-by-step explanation:

Given:

<S = 7x - 36,

<T = 5x - 1,

<U = x + 9

First, find the value of x

(7x - 36) + (5x - 1) + (x + 9) = 180° (sum of ∆)

7x - 36 + 5x - 1 + x + 9 = 180

Collect like terms

13x - 28 = 180

Add 28 to both sides

13x = 180 + 28

13x = 208

Divide both sides by 13

x = 16

Next, find the measure of each angle.

<S = 7x - 36,

Plug in the value of x

m<S = 7(16) - 36 = 76°

<T = 5x - 1,

m<T = 5(16) - 1 = 79°

<U = x + 9

m<U = 16 + 9 = 25°

The size of each angle of a triangle is tells how much longer or shorter the length of the side opposite it is. The greater the degree of am angle, the longer the side, and vice versa.

Thus.

The largest angle in ∆STU is <T, which is opposite to side SU. This means the greatest side is SU.

The medium angle is <S, which is opposite to side TU. This means side TU is the medium side.

The smallest angle is <U, which is opposite to side ST. This means the least side would be ST.

From greatest to the least, the sides of ∆STU are:

✅SU, TU, ST

Suraj has $15.00 to spend. He decided to buy a shirt for $9.95 and spend the rest on candy bars. If each candy bar costs $1.50, how many candy bars can Suraj buy?

Answers

Answer:3

Step-by-step explanation: i think

Answer:

He can by 3 candy bars.

Step-by-step explanation:

15.00-9.95=5.05

5.05-1.50=3.55

3.55-1.50=2.05

2.05-1.50=0.55 cents

the lines below are parrellell. if the slope of the green line is -2. what is the slope of the red line

Answers

Answer:

ummm.... -2 ? because both lines are parallel they have the same slope

Help pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

the last one :)

Step-by-step explanation:

In a factory a test run over 400 computer chips resulted in 8 defective one how many possible out comes are there

Answers

Answer:

392

Step-by-step explanation:

Graph the following equation:
y=3x-4

Answers

Answer:

3*​x-​4

Step-by-step explanation:

you start at -4 then go up 3 over one and continue

8. Which congruence postulate or theorem must you use before proving

Answers

Answer:

last one ?

Step-by-step explanation:

you can prove it by base angle threom  because this a isscloes triangle

Jimmy's school is selling tickets to the
annual talent show. On the first day of ticket sales the school sold 4 adult tickets
and 6 child tickets for a total of $80. The school took in $84 on the second day by
selling 4 adult tickets and 7 child tickets.Find the price of an adult ticket and the
price of a child ticket.
3

Answers

Children’s tickets are $4, adult tickets are $14




Explanation:

4a+6c=80

If they made $4 more dollars on the second day than the first by selling one extra child ticket then we know a child’s ticket is $4 per ticket.


4a+6*4=80
4a+24=80
4a=56
14=a

So each adult ticket costs $14.


You can check by filling in $14 and $4 for each equation.


4*14+6*4=80

4*14+7*4=84

Suppose you have 6 pairs of socks in your sock drawer. It is still dark out in the morning when you get dressed, so you just pull socks out of the drawer at random, one at a time, until you have removed two matching socks. What is the probability that you pull out exactly 5 socks from your sock drawer in the morning?

Answers

Answer:

8/33 = 0.242

Step-by-step explanation:

There are 12 socks to begin with and one is taken;

The second is picked from the remaining 11 and will either match the first or not;

The probability of matching is 1/11 and 10/11 for not matching;

If the sock matches, no further sock is taken;

If the socks don't match, a 3rd sock is taken;

The 3rd sock is taken from the remaining 10, 1 of which will match with the first sock and another which will match the second;

Therefore, the probability of taking a matching sock on the third pick will by 2/10 or 1/5 and the probability it will not match either of the first two is 8/10 or 4/5;

Once again, if the sock matches either of those previously taken, no further sock is taken;

If the socks don't match, a 4th sock is taken;

Now, there are 9 socks remaining in the drawer;

Picking is repeated;

The process is logical;

The attached picture shows a tree diagram representing this information in an easily digestible way and makes it easy to work out the desired probability;

With tree, diagrams, you just multiply across until you get to your desired outcome;

In this case, we are finding the probability of picking 5 socks exactly;

Each process splitting represents the picking of a sock;

The probability will be:

10/11 × 8/10 × 6/9 × 4/8 = 8/33 = 0.242...

There are 6 triangles and 2 circles. What is the simplest ratio of circles to total shapes?
Answer 1:4

Answers

There is no simpler ratio then 1:4. So the answer is 1:4.
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