1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
frozen [14]
2 years ago
5

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

Mathematics
1 answer:
swat322 years ago
5 0

Answer:

\sqrt{30}

Step-by-step explanation:

altitude rule

10 / x = x / 3

x^2 = 30

x = sqrt(30)

You might be interested in
Suppose the roots of the polynomial $x^2 - mx + n$ are positive prime integers (not necessarily distinct). Given that $m < 20
Vsevolod [243]

Answer:

<em>18</em> values for n are possible.

Step-by-step explanation:

Given the quadratic polynomial:

$x^2 - mx + n$

such that:

Roots are positive prime integers and

$m < 20$

To find:

How many possible values of n are there ?

Solution:

First of all, let us have a look at the sum and product of a quadratic equation.

If the quadratic equation is:

Ax^{2} +Bx+C

and the roots are: \alpha and \beta

Then sum of roots, \alpha+\beta = -\frac{B}{A}

Product of roots, \alpha \beta = \frac{C}{A}

Comparing the given equation with standard equation, we get:

A = 1, B = -m and C = n

Sum of roots,  \alpha+\beta = -\frac{-m}{1} = m

Product of roots, \alpha \beta = \frac{n}{1} = n

We are given that m  

\alpha and \beta are positive prime integers such that their sum is less than 20.

Let us have a look at some of the positive prime integers:

2, 3, 5, 7, 11, 13, 17, 23, 29, .....

Now, we have to choose two such prime integers from above list such that their sum is less than 20 and the roots can be repetitive as well.

So, possible combinations and possible value of n (= \alpha \times \beta) are:

1.\ 2,  2\Rightarrow  n = 2\times 2 = 4\\2.\ 2, 3 \Rightarrow  n = 6\\3.\ 2, 5 \Rightarrow  n = 10\\4.\ 2,  7\Rightarrow  n = 14\\5.\ 2, 11 \Rightarrow  n = 22\\6.\ 2, 13 \Rightarrow  n = 26\\7.\ 2, 17 \Rightarrow  n = 34\\8.\ 3,  3\Rightarrow  n = 3\times 3 = 9\\9.\ 3, 5 \Rightarrow  n = 15\\10.\ 3, 7 \Rightarrow  n = 21\\

11.\ 3,  11\Rightarrow  n = 33\\12.\ 3, 13 \Rightarrow  n = 39\\13.\ 5, 5 \Rightarrow  n = 25\\14.\ 5, 7 \Rightarrow  n = 35\\15.\ 5, 11 \Rightarrow  n = 55\\16.\ 5, 13 \Rightarrow  n = 65\\17.\ 7, 7 \Rightarrow  n = 49\\18.\ 7, 11 \Rightarrow  n = 77

So,as shown above <em>18 values for n are possible.</em>

3 0
3 years ago
Simplify: (x+4)*(2x+5
s344n2d4d5 [400]

Answer:

2x^2+13x+20 is the simplified answer

7 0
3 years ago
Evaluate.
Radda [10]

Step-by-step explanation:

-| 12/3 - 1| 2-(-3)

-|12-3/3|5

-5|9/3|

-5|3|

-5×3 & -5×-3

-15 & 15

I think it is the answer

6 0
1 year ago
Determine if the function is even, odd, or neither.
Gre4nikov [31]

Answer:

6

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Hellpppppppppppppppp​
VLD [36.1K]

Answer:

15 cups

Step-by-step explanation:

5x3 is 15

even the denominator by multiplying.

do what you multiplied on the numerator.

4 0
3 years ago
Read 2 more answers
Other questions:
  • Can Someone help me with this question?
    12·1 answer
  • Need help with this problem on homework
    6·1 answer
  • What is the area of the figure?<br><br> Enter your answer in the box.<br><br> _in²
    12·2 answers
  • What is the LCM of 15 and 12?​
    9·2 answers
  • I have a few questions! what is the gcf for
    11·1 answer
  • 2. Solve the equation - 4(8 + y) = 90.​
    15·2 answers
  • Four different ' four 4's problems ( where they all equal a different #) and four different four 4's that equal the same #
    9·1 answer
  • 439x2 ( Use only algorithm. )
    10·2 answers
  • Just need the answers
    15·1 answer
  • Can someone please help me on this
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!