Answer:
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Step-by-step explanation:
we know, ∠BGA = 90
In right angled triangle BGA
AB = 12 cm (diameter of circle)
⇒ (AB)2 = (AG)2 + (BG)2
⇒ 122 = 82 + (BG)2
⇒ BG = 4√5
In right angled triangle BCG
Let CG be x cm.
⇒ (BC)2 = (CG)2 + (BG)2
⇒ (BC)2 = x2 + (4√5)2 ----(1)
As we know,
⇒ (BC)2 = CG × CA ----(2)
From equation (1) and equation (2)
⇒ x2 + (4√5)2 = x × (x + 8)
⇒ x2 + (4√5)2 = x2 + 8x
⇒ 8x = 80
⇒ x = 10 cm
From equation (2)
⇒ (BC)2 = CG × CA
⇒ (BC)2 = 10 × 18 = 180
⇒ BC = √180 = 6√5
6 × 5 = 30
Umm simplified it would be 30t=s. 6*5t=s
Answer:
Simplifying
8x + -3 = 5(2x + 1)
Reorder the terms:
-3 + 8x = 5(2x + 1)
Reorder the terms:
-3 + 8x = 5(1 + 2x)
-3 + 8x = (1 * 5 + 2x * 5)
-3 + 8x = (5 + 10x)
Solving
-3 + 8x = 5 + 10x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-10x' to each side of the equation.
-3 + 8x + -10x = 5 + 10x + -10x
Combine like terms: 8x + -10x = -2x
-3 + -2x = 5 + 10x + -10x
Combine like terms: 10x + -10x = 0
-3 + -2x = 5 + 0
-3 + -2x = 5
Add '3' to each side of the equation.
-3 + 3 + -2x = 5 + 3
Combine like terms: -3 + 3 = 0
0 + -2x = 5 + 3
-2x = 5 + 3
Combine like terms: 5 + 3 = 8
-2x = 8
Divide each side by '-2'.
x = -4
Simplifying
x = -4
Step-by-step explanation:
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