Given:
In the circle, 
and 
.
To find:
The following measures:
(a) 
(b) 
Solution:
According to the central angle theorem, the central angle is always twice of the subtended angle intercepted on the same same arc.
In a cyclic quadrilateral, the opposite angles are supplementary angles.
UVWX is a cyclic quadrilateral. So,
[Opposite angles of a cyclic quadrilateral]
Now,
[Opposite angles of a cyclic quadrilateral]
Therefore, and .
Answer:
Ascending Order: 0.432 < 0.5734 < 0.76373
Descending Order: 0.76373 < 0.5734 < 0.432
Step-by-step explanation:
Check the tenths place of the decimal number and order them accordingly. If the tenths place is the same for two decimal numbers, go on to the next corresponding place to compare their values.
Answer:the smallest possible sum of the two numbers is 537
Step-by-step explanation:
Two three-digit numbers are made up of six different digits.
To interpret this, let the two three digit numbers be;
ABC and. DEF
The first digit of the second number is twice as big as the last digit of the first number.
Interpret;
D=2C
The first digit of the first number can be 1, the second digit 0 and the third digit 2.
102.
For the second number:
D=2C
The first digit is 4, second digit 3 and last digit 5 since no repetition of digits
435.
Answer:the smallest possible sum of the two numbers is
102+435= 537
