Answer:
1) ∠ADB and ∠EDC
2)∠ADE and ∠BDC
Step-by-step explanation:
Definition of vertical angles: Each of the pairs of opposite angles made by two intersecting lines are known as vertical angles.
So, in the given figure there are two intersecting lines named as AC and EB
So, the pair of vertical angles are :
1) ∠ADB and ∠EDC
2)∠ADE and ∠BDC
Thus these are the pairs of vertical angles in the given figure .
Hence a pair of vertical angles in the figure are :
1) ∠ADB and ∠EDC
2)∠ADE and ∠BDC
we can multiply the equation with the invers of that fraction
Answer:
x= 25
Step-by-step explanation:
2x + 3 + 4x + 6 + 12x + 18 = 477
FIRST combine like terms
take all "x"
2+4+12= 18x
take all whole numbers
3+6+18= 27
18x+27= 477
now solve for x
-27 on both sides
18x= 450
÷18 on both sides
x= 25
We have that
N 11)
a) graph the equation y=x²-3x-10
using a graph tool
see the attached figure
b) Determine the roots of the equations
the roots of the equations are the values for y=0
x²-3x-10=0
x²-3x-10=(x+2)*(x-5)=0
the roots are
x1=-2
x2=5
see the attached figure problem 11
N 12) what is the value of x in the equation?
3x²=7x
3x²=7x-------> 3x²-7x=0--------> x*(3x-7)=0
x1=0
3x-7=0------> 3x=7------> x=7/3
the values of x are
x1=0
x2=7/3---> 2.33
see the attached figure problem 12
N 13) what is the value of x in the equation?
x²-5x=6----------> x²-5x-6=0
x²-5x-6=0-------> (x+1)*(x-6)=0
the values of x are
x1=-1
x2=6
N 14) what is the value of x in the equation?
2x²-5x=12--------> 2x²-5x-12=0
using a graph tool
see the attached figure problem N 14
2x²-5x-12=0----------> (x+3/2)*(x-4)=0
the values of x are
x1=-3/2
x2=4