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
Natasha_Volkova [10]
3 years ago
14

What is the vale of x?

Mathematics
2 answers:
dimaraw [331]3 years ago
4 0
Since the triangles are similar, the following is true:

  20        x+6
------- = -------
2x -6       36

Then (20)(36) = (x+6)(2)(x-3) = 2[x^2+3x-18], or

720 = 2[x^2+3x-18], or 360 = x^2 + 3x - 18.

Then x^2 + 3x - 18 - 360 = 0.  This is a quadratic equation which can be solved using the quadratic formula, among other approaches.  Please apply the quadratic formula here, using a=1, b=3 and c= -378, to find x.
sertanlavr [38]3 years ago
4 0
Since they are similar
36/x+6=2x-6/20
You might be interested in
Which equation represents y= -x^2 + 6x + 7 in vertex form ?
Drupady [299]

we are given

y= -x^2 + 6x + 7

we can use vertex form parabola formula

y= a(x-h)^2+k

so, we can complete x square

y= -(x^2 - 6x - 7)

y= -(x^2 - 6x - 7+3^2-3^2)

y= -(x^2 - 6x +3^2-16)

y= -(x-3)^2+16

so, option-A........................Answer

7 0
3 years ago
Each day of the week mrs uses 3/4 of a gallon of gas what is the amount she uses in five days?
Andrej [43]

Answer:

3.75

Step-by-step explanation:

3/4 times 5 =3 3/4

8 0
10 months ago
10.
marusya05 [52]

Answer:

<em>The slope of the line</em> 3.

Step-by-step explanation:

The line is going through 3.  Although<em> it is not -3,</em> because if the line is <em>sloping upward from left to right,</em> then the slope is <em>positive (+)</em>. If the line is <em>sloping downward from left to right,</em> the slope is <em>negative (-).</em>

5 0
2 years ago
Read 2 more answers
Find the coordinates of the missing endpoint given E is the midpoint of DF. F(5,8) E(4,3)
masha68 [24]

Answer:

(3,-2)

Step-by-step explanation:

Midpoints bisect a line into two perfectly congruent segments. So, you can find that f was translated down 5=(8-3) and left 1=(5-4). then repeat this step by subtracting x of point e by 1 and the y of point e by 5 to get (3,-2)

7 0
3 years ago
Read 2 more answers
Given: AB || CD
jarptica [38.1K]
First, find slope of point A and B using slope formula:
<u>y2-y1</u> = <u>7-0 </u>= <u>-7</u>
x2-x1    3-8     5

Next, use the point-slope formula to find the equation (pick either point A or B to substitute into this equation; the answer will be the same either way):
y-y1=m(x-x1)
y-7=<u>-7</u>(x-3)   (I used point B here)
        5
y=<u>-7x</u> +<u>56</u> so the y-intercept is <u>56</u>. Hurray! Part 1 down!
<span>     5      5                                   5

Now to answer part 2. Since AB ll CD, they have the same slope: <u>-7</u>
                                                                                                         5
Therefore, you can use the handy point-slope equation to calculate the equation of line CD. (Remember you only need one of the points to use this equation if you already have the slope.) Since the only point given is D(5,5), we'll use that one:
</span>y-y1=m(x-x1)
y-5=<u>-7</u>(x-5)
<span>        5
</span>y=<u>-7x</u> + 12 Yay! That's the answer to part 2; the equation of line CD
<span>     5</span>
3 0
2 years ago
Other questions:
  • Which points are located in Quadrant l? Check all that apply. (0, 0) (1, 1) (7, 3) (5, 0) (8, 0) (1, 10)
    6·2 answers
  • 4 divided by the sum of h and 7
    9·1 answer
  • Which of the following is the inverse of the statement "If I like math, then I like science"? A. If I do not like science, then
    11·2 answers
  • What is the slope of the line in the graph?
    8·2 answers
  • The blue segment below is a radius of 0. What is the length of the diameter<br> of the circle?
    9·1 answer
  • Find the solution of the system of equations.<br> 10x + y = 16<br> -10x + 5y = 50
    5·1 answer
  • Which of the following equations is equivalent to 3/4a-6=1/4
    11·1 answer
  • Which linear equations have an infinite number of solutions? Check all that apply.
    12·2 answers
  • Can you someone please solve 2 and 3
    9·1 answer
  • Can some one help me with geometric sequence?​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!