What is the value of x in the figure below? In this diagram, ABD ~ CAD.

A. 16/5
B. 16
C. √160
D. √5
E. 8
F. 25/4

What Is The Value Of X In The Figure Below? In This Diagram, ABD ~ CAD.A. 16/5B. 16C. 160D. 5E. 8F. 25/4

Answers

Answer 1

Answer:

F an amazing result.

Step-by-step explanation:

I'm sure I didn't do this the way it was intended, but I think I got it right.

First of all, we have to agree that CAB is marked as a right angle. If you do not agree, leave a note.

Step One

Find the length of AC

BC = 16

AB = 10

AC^2 = BC^2 - AB^2

AC^2 = 16^2 - 10^2

AC^2 = 256 - 100

AC^2 = 156

AC = SQRT(156)

AC = SQRT(4*13 * 3)

AC = 2 SQRT(13)

Step Two

Find the height (AD)

There are two ways to find the area of the large triangle ABC

Area = 1/2 * 16 * AD          and

Area = 1/2 AC * 10            The two legs.

Since these areas must be equal, equate them. You are looking for AD

16 * AD = 2*sqrt(39) * 10   Divide by 16

AD =  20* sqrt(39)/16

AD = 5 * sqrt(39) / 4

Step 3

Find x or DB

DB^2 = 10^2 - [(5 *sqrt(39)/4]^2

DB^2 = 100 - 25*39/16

DB^2 = 100 - 60.9375

DB^2 = 39.0625

DB = SQRT(39.0625)

DB = 6 1/4

6 1/4 is the same thing as 25/6 which is F

Answer 2

Answer:

F. 25/4

Step-by-step explanation:

just took the quiz


Related Questions

Please help!!! i’ll mark brainliest
6 + (-47) =

Answers

Because it's +-, the - cancels out the +.

We can rearrange the equation to 6-47.

Or -47+6.

Then the answer is -41

If this was helpful hit the thanks :D

6+(-47)

Remove the parentheses

6-47

= -41 as your answer

(3x)2 – 7y2, when x = 3 and y = 2

Answers

[tex]3 \times 3 \times 2 - 7 \times 2 \times 2 \\ 18 - 28 \\ - 10[/tex]

Answer:

115

Step-by-step explanation:

(3x)^2 – 7y^2

Plug in:

(3×3)^2 – 7×2^2

9^2 - 14^2

81 - 196

115

Hope this helped.

At Pontotoc Middle School there are only
7th and 8th graders. There are 15x + 13xy + 10y
students. There are 8x + 8xy + 8y 8th graders.
How many 7th graders are there?

Answers

Answer:

So what we need to do is find out how many are left after taking away the 8th graders.

15x - 8x =  7x

so we have part of that

7x

Then 13xy - 8xy

5xy

10y - 8y

2y

this means that for 7th graders its

7x + 5xy + 2y

Step-by-step explanation:

Answer:

7x + 5xy + 2y is the number of 7th graders in the school.

Step-by-step explanation:

We are told that the total number of students is 15x + 13xy + 10y for both, 7th and 8th grade. We are also told that there are 8x + 8xy + 8y 8th graders. Incase you weren't able to figure out by this detail, we need to subtract to find the answer. We need to subtract the total students, 15x + 13xy + 10y, from the 8th graders, 8x + 8xy + 8y.

The steps would look like this:

   15x + 13xy + 10y

— 8x + 8xy + 8y

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

  7x + 5xy + 2y

15 - 8 = 7

13 - 8 = 5

10 - 8 = 2

Suppose h” is continuous at x = 2,h' (2) = 0, and h” (2) < 0.
What can you say about the behavior of h at X = 2?

Answers

Answer:

Hello,

Step-by-step explanation:

h(x) has a minimum at x=  2. (h(x) is turning down at x=2)

I have suppose that h''(2 + ) <0 and h''(2 -) <0

If you randomly choose a number from 1 to 10 and multiply them together, what is the probability that the number ends in a 0?

Answers

the answer is 1/5 or 1:5

MP=300sp=245 find discount​

Answers

Answer:

55

Step-by-step explanation:

we know ,

discount = M.P - S.P

=300 - 245

= Rs 55

Answer:

22.45%

Step-by-step explanation:

300-245=55

then do like in the pic

Using the intercept method, what are the two points to plot when graphing the line x + 3y = 6?

Answers

Answer:

The Slope-Intercept Form is essentially a special case of the Point-Slope Form. It's said that two points determine a line. That truism is used to quickly sketch a line if its equation is given in the Two Intercept-Form ax + by = c. We get the y-intercept by setting x = 0 and solving for y: by = c, y = c b .

Step-by-step explanation:

plzzz make brainlist and follow

Answer:

(0,2) and (6,0)

Step-by-step explanation:

y-intercept, x=0

0+3y=6

y=2

x-intercept, y=0

x=6

Where did term “infinity” come from

Answers

the English mathematician John Wallis in 1655 invented the word infinity Infinity is from the Latin, infinitas. In general, the word signifies the state from an entity's not ending/limit.

Select the correct answer. Consider this system of equations, where function f is quadratic and function g is linear:

y = f(x)

y = g(x)



Which statement describes the number of possible solutions to the system?

A. The system may have no, 1, 2, or infinite solutions.

B. The system may have no, 1, or infinite solutions.

C. The system may have 1 or 2 solutions.

D. The system may have no, 1, or 2 solutions

Answers

Answer:

C is the answer

Step-by-step explanation:

Quadratic equations have at most 2 solution, and linear equations only have 1 solution, and since y is equal to both of them, it can only have 1 or 2 solutions.

The correct answer is option D.  The system may have no, 1, or 2 solutions

What is quadratic equation?

A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .

f(x) is a quadratic function and g(x) is linear function

y=f(x)

y=g(x)

Quadratic equations have at most 2 solution

linear equations only have 1 solution,

f(x)=g(x)=y

y is equal to both of them, it can only have 1 or 2 solutions.

A line and a parabola can intersect zero, one, or two times

Therefore, a linear and quadratic system can have zero, one, or two solutions

Hence, the correct answer is option D.  The system may have no, 1, or 2 solutions

To learn more on Quadratic equation click:

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#SPJ2

Noah had to water 7 plants. Each plant needed 14 ounces of water. Noah multiplied to find out how much water he would need. Which equation shows the addition equation he could use to check his answer?

14 + 14 + 14 + 14 + 14 + 14 = 84
14 + 7 = 21
14 + 14 + 14 + 14 + 14 + 14 + 14 = 98
7 + 7 + 7 + 7 + 7 + 7 + 7 = 49

Answers

Answer:

n3 14 + 14 + 14 + 14 + 14 + 14 + 14 = 98

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Find the value of x.
A.124
B.57
C.72
D.90

Answers

9514 1404 393

Answer:

  x = 90°

Step-by-step explanation:

Half the sum of x and 120° is the angle where the chords cross, 105°. Then ...

  105° = (1/2)(x +120°)

  210° = x + 120°

  210° -120° = x = 90°

_____

Additional comment

z is the arc that finishes the circle: 360° -90° -68° -120° = 82°.

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Which of the following statements is true?

A. Take one sample to best estimate the population average
B. None of these statements are true
C. Choose who is in your sample to make sure that they best model the population being estimated
D. Take multiple samples to better estimate the true population average

Answers

Answer:

D. take multiple samples to better estimate the true population average

Answer:

tbh im here for 5 points

Step-by-step explanation:

What is the standard form of the points (-3,4) (2,-6)

Answers

The standard form equation of the line connecting the two points is [tex]2x + y = -2[/tex]

Linear equation in a standard form is given as [tex]Ax + By = C[/tex]

where,

A, B, and C are constants or numbers

x and y are the variables.

To solve this problem, the following steps would be taken:

Step 1: Find the slope of the line connecting points (-3,4) and (2,-6)

[tex]slope (m) = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

where,

[tex](x_1, y_1) = (-3,4)\\(x_2, y_2) = (2,-6)[/tex]

Substitute

[tex]slope (m) = \frac{-6 - 4}{2 -(-3)} \\m = \frac{-10}{5}\\m = -2[/tex]

Step 2: Find the y-intercept (b) of the line by substituting [tex](x, y) = (-3,4)[/tex] and [tex]m = -2[/tex] into [tex]y = mx + b[/tex] (slope-intercept form)

[tex]4 = -2(-3) + b\\4 = 6 + b\\4 - 6 = 6 + b - 6\\-2 = b\\b = -2[/tex]

Step 3: Write the equation of the line in slope-intercept form by substituting [tex]m = -2[/tex] and [tex]b = -2[/tex] into [tex]y = mx + b[/tex]

[tex]y = -2x + (-2)\\y = -2x - 2[/tex]

Step 4: Rewrite the equation in standard form [tex](Ax + By = C)[/tex]

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

Add [tex]2x[/tex] to both sides

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

The standard form equation of the points (-3,4) and (2,-6) is [tex]2x + y = -2[/tex]

Learn more about standard form of two points of a linear equation here:

https://brainly.com/question/18446164

What is the reciprocal of 7/9 it’s a fraction by the way

Answers

Answer:

9/7

Step-by-step explanation:

Reciprocal means 1 over the number

1 / (7/9)

1 * 9/7

9/7

Answer:

[tex] = \frac{9}{7} [/tex]

Step-by-step explanation:

Reciprocal means inverse:

[tex] {( \frac{7}{9} })^{ - 1} = (\frac{9}{7} ) {}^{1} \\ \\ = \frac{9}{7} [/tex]

Miles is putting a fence around his garden. The total area of the garden is 4,864 square feet. The length of the garden is 152 feet. How many feet of fencing does he need to go around the whole garden?

Help pls!!

Answers

Since the area of any thing is length time width, we can divide 4864 by 152 to get the width of the garden. This gives us 32. Now we need to add 152 + 152 + 32 + 32 to get our total feet of fencing necessary. This would give us 368 feet of fencing.

Fencing required to go around the whole garden = 368 feet

To calculate the fencing needed, given measures in the question,

Total area of the garden is 4864 square feet.Length of the garden is 152 feet.

Since, area of a rectangular garden is given by the expression,

Area = Length × Width  

4864 = 152 × Width

Width = [tex]\frac{4864}{152}[/tex]

          = 32 feet

Since, length of the fence needed = Perimeter of the garden

And Perimeter of a rectangular garden is given by the expression,

Perimeter = 2(length + width)

By substituting the values of length and width of the garden in the expression,

Perimeter = 2(152 + 32)

                 = 368 feet

       Therefore, 368 feet of the fence will be required to go around the whole garden.

Learn more,

https://brainly.com/question/22073676

!!!HELP ME!!! I WILL GIVE YOU BRAINLIEST

Todd has earned the following test scores in his chemistry class so far: 76, 83, 89, 95, 100. There is one last test this semester that will count toward his grade. What grade must Todd make on the sixth test to have a test average of 90 or better?

Answers

Answer:

97

Step-by-step explanation:

76+83+89+95+100=443

there are all 6 tests.

we consider marks of last lest as "X"

x should be added to total mark

to obtain average mark, total marks should divided by no. of tests.

(443+x)/6=90

443+x=90*6

443+x=540

x=540-443

x=97

Hope my answer helped u :)

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
The difference between the largest and smallest values in a data set is the ______________.
A. mean
B. mode
C. median
D. range

Answers

Answer:

the answer is D. range......

:

:
When you want to find the range its the lowest and the highest number subtracted by each other.

Hope this helps :)

simplify
(-3y)*(-7y)

Answers

Answer:

answer of this question is

21y^2

the temperature of fridge compartment of a refrigerator is set at 8 °C . the fridge compartment is set at -10°C . what is difference between these temprature sittings​

Answers

Answer:

I don't understand the question, but I think its 18°

Step-by-step explanation:

3/4 - 3/5
please give me answer​

Answers

Hey there! I believe these are the two correct options!

Decimal form: 0.15

Fraction form: [tex]1 \frac{7}{10}[/tex]

Hope this helps!

3/4 - 3/5

Take LCM 20

So 3/4×5/5 and 3/5×4/4

= 15/20 - 12/20

= 3/20

Must click thanks and mark brainliest

17
Ax+2y=12
8x +32 y=144
For what value of A will the system of equations above
have no solutions?

Answers

Answer:

Hello,

a=0.5

Step-by-step explanation:

[tex]\left \{ \begin{array}{ccc}ax+2y&=&12\\8x+32y&=&144\\\end{array}\right.\\\\\\\Longleftrightarrow\ \left \{ \begin{array}{ccc}ax+2y&=&12\\x+4y&=&18\\\end{array}\right.\\\\\\\Longleftrightarrow\ \left \{ \begin{array}{ccc}(1-2a)x&=&-6\\x+4y&=&18\\\end{array}\right.\\\\if\ 1-2a\neq 0\ (or\ a\neq \dfrac{1}{2} )\ then\\\left \{ \begin{array}{ccc}x&=&\dfrac{6}{2a-1}\\\\y&=&\dfrac{18-\dfrac{6}{2a-1}}{4} \\\end{array}\right.\\\\[/tex]

[tex]\Longleftrightarrow\ \left \{ \begin{array}{ccc}x&=&\dfrac{6}{2a-1}\\\\y&=&\dfrac{ 3(3a-2)}{2a-1} \\\end{array}\right.\\\\[/tex]

else\

[tex]a=\dfrac{1}{2} \\\Longleftrightarrow\ \left \{ \begin{array}{ccc}\dfrac{1}{2} x+2y&=&12\\\\x+4y&=&18 \\\end{array}\right.\\\\\\\Longleftrightarrow\ \left \{ \begin{array}{ccc}x+4y&=&24\\\\x+4y&=&18 \\\end{array}\right.\\\\\\\Longleftrightarrow\ \left \{ \begin{array}{ccc}0=6\ !!!!!\\\end{array}\right.\\\\Syetem\ has\ no\ solution\\[/tex]

x²-2x=8
x² - 2x - 8 = 0
x² - 2x - 4x = 0
(x - 2) (x - 4)=0

x - 2 =0 therefore x = 2
or
x - 4 =0 therefore x = 4​

Answers

Answer:

x=4   x = -2

Step-by-step explanation:

x²-2x=8

Subtract 8 from each side

x^2 -2x-8 = 8-8

x^2 -2x  -8=0

What two numbers multiply to -8 and add to -2

-4*2 = -8

-4+2 = -2

(x-4) (x+2) =0

Using the zero product property

x-4 =0   x+2 =0

x=4   x = -2

what is
4c ÷ 3 if c=6

Answers

Answer:

8

Step-by-step explanation:

4c ÷ 3

Plug in:

4c ÷ 3

4(6) ÷ 3

24 ÷ 3 = 8

Hope this helped.

Answer:

8

Step-by-step explanation:

4(6)/3 = 24/3 = 8

4 times 6 is done first because you do multiplication/division first from left to right according to PEMDAS.

PLEASE HELP Find the value of the following expression (2 ^8 • 3 ^-5 • 6 ^0) ^-2 • (3 ^-2 over 2 ^3 ) ^4 •2 ^28

Answers

the answer is very simple if you don't understand ask to your teacher

Two brothers, Steven and Walter, each inherit $42000. Steven invests his inheritance in a savings account with an annual return of 2.6%, while Walter invests his inheritance in a CD paying 4.7% annually. How much more money than Steven does Walter have after 1 year?

Answers

Step-by-step explanation:

kzj,un j, kxkzkxkxxiziixixixix

5x2y and 7xy2 are like terms.

True
False

Answers

Answer: False

The variable portions x^2y and xy^2 are slightly different, so that's why we don't have like terms here.

Answer:

False

Step-by-step explanation:

Like terms are those terms where they have the same variable

so here

5x2y variables are = 5x and 2y

7xy2 variables are = 7x and y2

you can observe that x variable is same but y variable is not same as 5x3y have 2y whereas 7xy2 have y2#

so the answer is FALSE

whats a common denominator for 3/5 and 3/8

Answers

A common denominator would be 40 (3/5 = 24/40, 3/8 = 15/40)

Answer:

40

Step-by-step explanation:

Two denominator are 5 and 8, we need to find their L.C.F. so since the only common number between 5 and 8 is 1, so,

L.C.F. = 1×5×8 = 40, so common denominator = 40

If x >0 and y < 0. is the equation x - y >0 sometimes, always, or never true
Prove your answers with two examples.

Answers

Always
Hope this helps :)

Answer:

always true because the negative value of y is cancelld by - sign so it becomes x+|y|

examples: x=1, y=-1 then 1-(-1)>0

x=2, y=-5 then 2-(-5)>0

What is the value of x (Khan Academy question)

Answers

Answer:

72

Step-by-step explanation:

Use cross multiplication.

60/20 = x/24

That simplifies to

20x=60(24)

20x=1440

Divide by 20 on both sides to isolate x

x = 1440/20

x = 72

Sofie deposits $45.00 into a new savings account. The account earns 2.5% simple interest per year. No money is added or removed from the savings account for 4 years. What is the total amount of money in her savings account at the end of the 4 years? A. $1.13 C. $49.50 B. $4.50 D. $45​

Answers

Answer:

$49.50

Step-by-step explanation:

First, let's find how much total interest was made

For every year, 2.5% interest was made

Since we're finding the total for 4 years

It will be 4 x 2.5 = 10% total interest

Now let's find 10% of 45

45 x .1 = 4.5

This means we made $4.5 in those 4 years

Now we just add it to our starting amount

45 + 4.5 = 49.5

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