Answer:
a) 1/2 of 12 = 1/4 of 24
b) 1/3 of 90 = 2/3 of 45
Step-by-step explanation:
1/2 of 16 is 6, so 6 would be 1/4 of what? 6 x 4 = 24. 6 is 1/4 of 24. The other one is the same. 1/3 of 90 is 30, and 30 is 2/3 of 45.
Use algebra for such problems
let, Angle COD = x
Angle KOD = y
Angle KPC = z
Given ,. x - y = 61° ( Equation 1 )
x - z = 53° ( Equation 2 )
Subtract 1st equation from 2nd and you'll get :
z - y = 8° ( Equation 3 )
Now since , x + y + z = 180° ( Equation 4 )
Add Equation 3 to Equation 4 and you'll get
x + 2z = 188° ( Equation 5)
From Equation 2 we know that , x -z = 53°
or, x = 53° + z ( Equation 6 )
Put this value of 'x' in Equation 5 and solve for z. you'll get :
(53° + z) + 2z = 188°
or
3z = 188 - 53 = 135°
solving for z we get
z = 45°
put this value of z in Equation 5
x + ( 2 x 45° ) = 188°
or
x = 188° - 90° = 98°
hence , Angle COD = 98°
Answer:
and 
Step-by-step explanation:
we know that
In the diagram
Triangles GRT and GEA are similar by AA Similarity Postulate
Remember that
If two figures are similar, then the ratio of its corresponding sides is proportional
so
we have
substitute
therefore
Step-by-step explanation:
Here is a helpful method I taught my students in my mini lesson...
For you to remember, 22= 4, and 32= 9. Hence the answer to the root of 8 lies between the numbers 2 and 3. However, since the square of 3 equals to 9 which is larger than 8, the root 8 value lies in between the number 2.8 and 2.9.
