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
lana [24]
3 years ago
8

Find x Thanks for the help in advance!

Mathematics
1 answer:
Marina86 [1]3 years ago
7 0

I'm not sure if this is the easiest way of doing this, but it surely work.

Let the base of the triangle be AB, and let CH be the height. Just for reference, we have

AH=2,\quad HB=6,\quad AC=x

Moreover, let CH=y and BC=z

Now, AHC, CHB and ABC are all right triangles. If we write the pythagorean theorem for each of them, we have the following system

\begin{cases}4+y^2=x^2\\36+y^2=z^2\\x^2+z^2=64\end{cases}

If we solve the first two equations for y squared, we have

y^2=x^2-4\\y^2=z^2-36

And we can deduce

z^2 = x^2+32

So that the third equation becomes

x^2+x^2+32=64 \iff 2x^2 = 32 \iff x^2=16 \iff x=4

(we can't accept the negative root because negative lengths make no sense)

You might be interested in
Please help me with this answer!! I am really stuck...No nonsense answers please.
wariber [46]

Answer:

19

Step-by-step explanation:

Inscribed Angle = 1/2 Intercepted Arc

< DBG = 1/2 ( DG)

< DBG = 1/2 ( 360 - BD - BG)

           = 1/2 ( 360 - 172 - 150)

           = 1/2 (38)

           = 19

8 0
3 years ago
Combine the radicals 9√x-3√x-<br> 06<br> O 6√x<br> O-6√2x<br> 0-6
g100num [7]

Answer:

6√x

Step-by-step explanation:

9√x - 3√x = 6√x

3 0
2 years ago
GUYS PLEASE HELP MY TEACHER SKIPPED A WHOLE CHAPTER I ONLY KNOW BASICS SO PLEASEEEE HELP `(*&gt;﹏&lt;*)′
malfutka [58]

Answer:

the shape is similar with yours and the friend

2 shapes=30min

3 shapes=x min

30 x 3 / 2=45 min

Step-by-step explanation:

i think good luck! i'm not sure

3 0
2 years ago
Read 2 more answers
Complete the pattern ____,_____,____,0,2,4,6
Dmitriy789 [7]
-6,-4,-2 is the answer
3 0
3 years ago
I need help w number 5 pls !!
OleMash [197]

Answer:

<h2>122.5</h2>

Step-by-step explanation:

the parameter of B figure is

12+9+9+5

35

as we know the scale factor is 7/2

so the parameter of A figure is

35×7/2

122.5

5 0
3 years ago
Other questions:
  • Solve for x to make the inequality true
    7·1 answer
  • A jar pinto beans and black beans in a ratio of 1: 1, and 300 of the beans are pinto beans. How many beans in total are there in
    10·1 answer
  • Segment AB is rotated to form ​ A'B'¯¯¯¯¯¯¯ ​. The coordinates of point A are (1, 5) and the coordinates of point B are (−6, 4)
    10·2 answers
  • Angie sells blue and yellow balloons. For every 10 blue balloons that are sold, she sells 7 yellow balloons.
    12·2 answers
  • What are chemical bands​
    11·1 answer
  • Help asap plzzzzzzzzzz​
    6·1 answer
  • What is the volume of this box?<br>Help me plz ​
    5·2 answers
  • The ________________ of -6 = 6 because it is 6 units from zero on the number line.
    11·1 answer
  • 50 POINTS PLEASE HELP ASAP THE FULL QUESTION IS ON THE PICTURE
    5·1 answer
  • Hikers on a backpacking trip take 2 hours and 10 minutes to hike the first 2.6 miles of an 8-mile hike. At this pace, which amou
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!