Answer:
x = 13
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
5^2 + 12^2 = x^2
25+144 = x^2
169 = x^2
Taking the square root of each side
sqrt(169) = sqrt(x^2)
13 =x
Answer:
arc NO has measure 48
Step-by-step explanation:
We assume all measures are in consistent units (degrees or something similar). The two inscribed angles intercept the same arc, so are congruent:
9x -3 = 4x +12
5x = 15 . . . . . . . add 3-4x
x = 3 . . . . . . . . . divide by 5
The measure of the inscribed angle is then ...
4x +12 = 4(3) +12 = 24
That is half the measure of the arc, so the measure of arc NO is ...
arc NO = 2·24 = 48
Answer:
D
Step-by-step explanation:
To solve the quadratic equation, use the inverse operation to squaring. This will undo the exponent and allows x to be isolated. The inverse operation is the square root. This is called the square root property of equality.
(x + 2)² = 1
√(x+2)² = √1
(x+2) = ±1
x = 1 -2 and x = -1 - 2
x = -1 and x = -3
The product of the roots -1 and -3 is -1*-3 = 3
Answer: The least common multiple of 4 and 6 is 12 because this is the smallest positive integer that is divisible by both 4 and 6.
Step-by-step explanation:
- The least common multiple of two integers m and n is the least positive integer that is divisible by both m and n.
We are given that :
The first five multiples for the numbers 4 and 6 are shown below.
We can see that from the multiples of 4 and 6 , the least common multiple of 4 and 6 =12 such that 12 is divisible by 4 and 6 .
