Answer:
∠ PTQ = 70°
Step-by-step explanation:
The angles subtended by the radii and tangents to the circle , sum to 180°
∠ PTQ + 110° = 180° ( subtract 110° from both sides )
∠ PTQ = 70°
Answer:
Step-by-step explanation:
(8x-6)
=2(4x-3)
Hey there!!
Let's take the two numbers as 'x' and 'y'
The sum of these two numbers is 36.
... x + y = 36
Twice the first number minus the second is 6.
... 2x - y = 6
Now, we have two equations.
_______________________________________________________
... x + y = 36
... 2x - y = 6
Now, let's add both the equations.
... 3x = 42
Divide each side by 3.
... x = 42 / 3
... x = 14
<em>Hence, the first number is'14'. </em>
We know the sum of both the numbers is 36.
... x + y = 36
... 14 + y = 36
Subtract 14 on both sides.
... y = 36-14
... y = 22
<em>Hence, the second number is 22. </em>
<em>The numbers are 14 and 22. </em>
Hope my answer helps!!
Answer:
2/15
Step-by-step explanation:
1. Check the picture attached. We can calculate the area of the orange region G by dividing it into right triangles with both legs equal to 1.
Area of one triangle is 1/2*1*1=1/2 units square.
There are 9 in total, so area G = 9/2 units square.
2. The square has side length equal to 10, so the square area is 100 units square.
3. P(landing in G)=Area of G/total area= (9/2)/100=9/200= 0.045