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Sever21 [200]
3 years ago
9

Find the value of x using shapes

Mathematics
1 answer:
Elden [556K]3 years ago
7 0
The Altitude rule- (shown on my work) When there is an altitude on the hypotenuse of a right triangle, then 3 similar triangles are formed. The altitude rule allows us to use proportions and cross-multiplication to solve for missing lengths.

(If you were asked to find the lengths of the legs of the big triangle you would have to use the leg rule instead of the altitude rule)

I used my previous work I've done for similar problems, and just fine-tuned it to fit your question and your values.

CONTINUED WORK(from the picture):
x²=9216
x=√9216
x= 96 units

Answer:
x=96 units

Sorry I changed up the colors on you on my work. I hope you still find it easy to understand. Please let me know if there is anything you are still confused about in the comments below! :)

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A car and a motorcycle leave the city at the same time and drive to a lake that is 120 km away. The speed of the motorcycle is 2
iris [78.8K]

Answer:

  • 40 km/h and 60 km/h

Step-by-step explanation:

Let the speed of the car is x, then the speed of motorcycle is x + 20

The distance = 120 km

<u>Time:</u>

  • 120/x = 120/(x + 20) + 1
  • 120(x + 20) = 120x + x(x +20)
  • 120x + 2400 = 120x + x² + 20x
  • x² + 20x = 2400
  • x² + 2*10x + 10² = 2500
  • (x + 10)² = 50²
  • x  + 10 = 50
  • x = 40

Speed of the car is 40 km/h

Speed of the motorcycle is 60 km/h

3 0
3 years ago
Read 2 more answers
A fox leaves its den and travels 725 yards northeast, then 950 yards west. How far, in yards is the fox from its den
Alenkinab [10]

Answer:

1,675

Step-by-step explanation:

add it

7 0
3 years ago
The polynomial below is a perfect square trinomial of the form A^2-2AB+B^2. 9x^2-18x+36
baherus [9]
No, It's not.

coefficients for perfect square would be:
3² - 2(3)(6) + 6² = 9 - 36 + 36

8 0
4 years ago
Read 2 more answers
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU B
marshall27 [118]

Answer:

IM preeetty sure the answer is x=4 and y=26 so the solution would be (4,26)

Step-by-step explanation:

hope this helps!!! <333

6 0
3 years ago
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What is the value of 7(x+4)² - 3x when x = 2?
sdas [7]

Answer:  the value of 7x-y is -14.

Step-by-step explanation:

When x=2 and y=4,

To find the value of 7x - y when x =2, y = 4, this means when ever you see x, put 2 in replacement, y, put 4 respectively.

7x - y = 7(2 - 4)

14 - 28

= -14.​

5 0
3 years ago
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