Answer:
Therefore the value of x = 10 units
Step-by-step explanation:
Let label the Triangles first,
Δ ABC a right triangle at ∠ A =90°
Δ ADB andΔ ADC a right triangle at ∠ D =90°
Such that
AD = x
BD = 50
CD = 2
∴ BC = BD + DC = 50 + 2 = 52
To Find:
x = ?
Solution:
In right triangle By Pythagoras Theorem,
![(\textrm{Hypotenuse})^{2} = (\textrm{Shorter leg})^{2}+(\textrm{Longer leg})^{2}](https://tex.z-dn.net/?f=%28%5Ctextrm%7BHypotenuse%7D%29%5E%7B2%7D%20%3D%20%28%5Ctextrm%7BShorter%20leg%7D%29%5E%7B2%7D%2B%28%5Ctextrm%7BLonger%20leg%7D%29%5E%7B2%7D)
In right triangle Δ ADB andΔ ADC By Pythagoras Theorem we will have,
AB² = BD² + AD²
AB² = 50² + x² ..................equation ( 1 )
and
AC² = DC² + AD²
AC² = 2² + x² ...................equation ( 2 )
Now in right triangle Δ ABC,
BC² = AB² + AC²
Equating equation (1 ) and ( 2 ) and the given value we get
52² = 50² + x² + 2² + x²
∴ 2x² = 2704 - 2504
∴ 2x² =200
∴ ![x^{2} =\frac{200}{2}\\\\\therefore x=\pm\sqrt{100} \\\\ \textrm{x cannot be negative}\\\therefore x= 10\ unit](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%3D%5Cfrac%7B200%7D%7B2%7D%5C%5C%5C%5C%5Ctherefore%20x%3D%5Cpm%5Csqrt%7B100%7D%20%5C%5C%5C%5C%20%5Ctextrm%7Bx%20cannot%20be%20negative%7D%5C%5C%5Ctherefore%20x%3D%2010%5C%20unit)
Therefore the value of x = 10 units
Answer:
y=2x-4
Step-by-step explanation:
y-y1=m(x-x1)
y-10=2(x-7)
y-10=2x-14
y=2x-14+10
y=2x-4
Answer: See below
Step-by-step explanation:
Expand:
2(z-5)+6z
2z - 10 + 6z
8z - 10
Answer:
Distributive property
Step-by-step explanation:
Required
What does
represents?
![8 * (x - 2) = 8x-16](https://tex.z-dn.net/?f=8%20%2A%20%28x%20-%202%29%20%3D%208x-16)
In mathematical properties;
![a * (b \± c) = a*b \± a * c](https://tex.z-dn.net/?f=a%20%2A%20%28b%20%5C%C2%B1%20c%29%20%3D%20a%2Ab%20%5C%C2%B1%20a%20%2A%20c)
![a * (b \± c) = ab \± ac](https://tex.z-dn.net/?f=a%20%2A%20%28b%20%5C%C2%B1%20c%29%20%3D%20ab%20%5C%C2%B1%20ac)
In this case:
![a = 8](https://tex.z-dn.net/?f=a%20%3D%208)
![b = x](https://tex.z-dn.net/?f=b%20%3D%20x)
![c = -2](https://tex.z-dn.net/?f=c%20%3D%20-2)
This gives:
![8 * (x - 2) = 8*x-8*2](https://tex.z-dn.net/?f=8%20%2A%20%28x%20-%202%29%20%3D%208%2Ax-8%2A2)
![8 * (x - 2) = 8x-16](https://tex.z-dn.net/?f=8%20%2A%20%28x%20-%202%29%20%3D%208x-16)
<em>The above is an illustration of the distributive property</em>
Do not know sorry I hope someone will help I guess 34