GJ is a tangent
АG is a radius
A tangent line to a circle is perpendicular to the radius drawn to the tangent point ⇒ m∠АGJ = 90° ⇒ ΔАGJ is the right triangle.
<span>By the Pythagorean theorem:
</span>AJ² = АG² + GJ²
AJ² = 9² + 12² = 81 + 144 = 225
AJ = √225 = 15 units.
this is approximately 6 to 200
divide both by 2
3 to 100
3 to 10^2
3 out of 100
Answer:
$163
Step-by-step explanation:
Bob worked 26 hours and earn $7 per hour. Multiply 26 with 7:
26 x 7 = 182
Bob made a total of $182 last month.
Bob then spent $19. Subtract 19 from the total earned:
182 - 19 = 163
Bob has $163 left.
~
If we multiply the bottom equation by 2 and move x to the right, it becomes:
4y = 2x-38
Now we can substitute it for the 4y in the top equation:
3x + (2x-38) = -23 => 5x = -23+38 => 5x = 15 => x=3
Then 4y = 2*3-38 => y = -8
So the solution is (3,-8)