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Zigmanuir [339]
2 years ago
15

In the diagram, angle abc is a right angle. Find the value of x Show full working out pls ty

Mathematics
1 answer:
Vladimir79 [104]2 years ago
5 0

Answer:

x = 3.75

Step-by-step explanation:

ABC is a right angled triangle.

Therefore, by Pythagoras theorem:

{(10 - x)}^{2}  =  {x}^{2}  +  {5}^{2} \\ 100 - 20x +  {x}^{2}   =  {x}^{2}  + 25 \\ 100 - 20x = 25 \\  - 20x = 25 - 100 \\  - 20x =  - 75 \\ x =  \frac{ - 75}{ - 20}  \\   \:  \: \huge \red { \boxed{x = 3.75}}

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X-4[x-2(x+6)]=5x+3<br><img src="https://tex.z-dn.net/?f=x%20-%204%20%20%20%5B%20%20x%20-%202%28x%20%2B%206%29%5D%20%20%3D%205x%2
pshichka [43]

The equivalence of the equation is 5x + 48 = 5x + 3.

Since 48 cannot be equal to 3, hence there are no solution.

<h3>What is the value of x?</h3>

Given the equation; x-4[ x - 2( x + 6) ] = 5x + 3

We remove the parentheses

x-4[ x - 2( x + 6) ] = 5x + 3

x-4[ x - 2x - 12 ] = 5x + 3

x - 4x + 8x + 48 = 5x + 3

5x + 48 = 5x + 3

We can go further and collect like terms

5x - 5x + 48 = 3

48 ≠ 3

Since 48 cannot be equal to 3, hence there are no solution.

Learn more about equations here: brainly.com/question/14686792

#SPJ1

7 0
1 year ago
Please help I really need help please
fomenos

Answer:

A

Step-by-step explanation:

The side lengths must satisfy the Pythagorean Theorem to be a right triangle. The formula is a^2 + b^2 = c^2 where a is the smallest side, b is the medium side, and c is the largest side. Test each set of numbers.

a = 6, b = 8, c= 10\\6^2 + 8^2 = 10^2\\36 + 64 = 100\\100 = 100

This satisfies the theorem. Since this is a multiple choice question, only one solution is possible. A is the solution.

6 0
3 years ago
Need help on this question please!
podryga [215]

Answer:

The answer is -46

6 0
2 years ago
Evaluate Ic2 + b2l, given a = 5, b = -3, and c= -2.
LenKa [72]

Answer:

Ic² + b²l = 13 units.

Step-by-step explanation:

We have to evaluate the expression Ic² + b²l with unknowns b and c and having the values of b and c respectively - 3 and - 2.

Now, Ic² + b²l

= I(- 2)² + (- 3)²l {Putting the values of b and c}

= I4 + 9l  

= I13l

= 13 units.

Therefore, Ic² + b²l = 13 units. (Answer)

5 0
2 years ago
What is the value of x in the right triangle shown? 25 cm 7 cm​
finlep [7]

Answer:

x = 24

Step-by-step explanation:

a^2 + b^2 = c^2

7^2 + b^2 = 25^2

49 + b^2 = 625

<u>-49              -49</u>

b^2 = 576

square root them

b = 24, or x = 24

<em><u>Hope this helped! Have a nice day! Plz mark as brainliest!!!</u></em>

<em><u>-XxDeathshotxX</u></em>

7 0
2 years ago
Read 2 more answers
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