We are given two numbers $24 and $30.
We need to find the largest three-digit number that is a multiple of both $24 and $30.
So, we need to find the largest common multiple of 24 and 30.
<em>In order to find the largest common multiple, we need to multiply both numbers.</em>
If we multiply 24 and 30, we would get
24 × 30 = 720.
Therefore, the largest three-digit number that is a multiple of both $24 and $30 is 720.
Answer:
The measurement of arc AD is 53°
The measurement of arc BC is 39°
Step-by-step explanation:
Let
x----> the measurement of arc AD
y---> the measurement of arc BC
we know that
The measure of the internal angle is the semi-sum of the arcs comprising it and its opposite
so
m∠DEA=(1/2)[x+y]
substitute the value
46°=(1/2)[x+y]
92°=[x+y] -----> equation A
The measurement of the external angle is the semi-difference of the arcs which comprises
m∠P=(1/2)[x-y]
substitute the value
14°=(1/2)[x-y]
28°=[x-y] -----> equation B
Adds equation A and equation B
92°+14°=2x
x=106°/2=53°
Find the value of y
substitute in the equation A the value of x
92°=[53°+y]
y=92°-53°=39°
