Answer:
<h2>x= 37</h2>
Step-by-step explanation:
This problem can be solved by applying Pythagoras theorem, since the segment AB is tangent to the circle(meaning that the point A is at 90 degree to the circle)
According to Pythagoras theorem "It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides".
given (as seen from the diagram)
x, hypotenuse= ?
opposite= 12
adjacent= 35
Applying Pythagoras theorem
Substituting our given data and solving for hpy we have
hence x= 37
Yes. 25 and 35 both go into 5 so 25=5, 35=7.
So the answer is 5/7.
Hope this helps :)
Answer: x = 19
Step-by-step explanation:
5(-12x+3) + 6(10x + 7) = 9 - x + 3x + 10 Distribute on the left side
-60x + 15 + 60x + 42 = 9 + 2x + 10 combine like terms on the left side
57 = 9 + 2x + 10 Now combine like terms on the right side
57 = 2x + 19 Subtract 19 from both sides
-19 -19
38 = 2x Divide both sides by 2
x = 19
Answer:
9
Step-by-step explanation:
→You can use the Pythagorean Theorem to solve this, by plugging in the numbers, like so:
\begin{gathered}a^2+b^2=c^2\\x^2+(x-3)^2=(x+3)^2\end{gathered}
a
2
+b
2
=c
2
x
2
+(x−3)
2
=(x+3)
2
x^2+x^2-6x+9=x^2+6x+9x
2
+x
2
−6x+9=x
2
+6x+9
→Subtract x^2-6x+9x
2
−6x+9 from both sides:
x^2 = 12xx
2
=12x
→Subtract 12x from both sides:
x^2 -12x=0x
2
−12x=0
→Factor out x:
x(x-12)=0x(x−12)=0
→Separate, set = to 0, and solve:
\begin{gathered}x = 0\\x -12=0\end{gathered}
x=0
x−12=0
→ Add 12 to both sides: x = 12x=12
→So we have 0 and 12, as our answers. However, we cannot have 0 as a side length, since this would not be possible.
→All we need to do is take 12, and plug it into the equation for the shortest leg.
\begin{gathered}x - 3=?\\12-3=9\end{gathered}
x−3=?
12−3=9
