Question 9
Given the segment XY with the endpoints X and Y
Given that the ray NM is the segment bisector XY
so
NM divides the segment XY into two equal parts
XM = MY
given
XM = 3x+1
MY = 8x-24
so substituting XM = 3x+1 and MY = 8x-24 in the equation
XM = MY
3x+1 = 8x-24
8x-3x = 1+24
5x = 25
divide both sides by 5
5x/5 = 25/5
x = 5
so the value of x = 5
As the length of the segment XY is:
Length of segment XY = XM + MY
= 3x+1 + 8x-24
= 11x - 23
substituting x = 5
= 11(5) - 23
= 55 - 23
= 32
Therefore,
The length of the segment = 32 units
Question 10)
Given the segment XY with the endpoints X and Y
Given that the line n is the segment bisector XY
so
The line divides the segment XY into two equal parts at M
XM = MY
given
XM = 5x+8
MY = 9x+12
so substituting XM = 5x+8 and MY = 9x+12 in the equation
XM = MY
5x+8 = 9x+12
9x-5x = 8-12
4x = -4
divide both sides by 4
4x/4 = -4/4
x = -1
so the value of x = -1
As the length of the segment XY is:
Length of segment XY = XM + MY
= 5x+8 + 9x+12
= 14x + 20
substituting x = 1
= 14(-1) + 20
= -14+20
= 6
Therefore,
The length of the segment XY = 6 units
Answer:
A.
5 ^ (5/6)
Step-by-step explanation:
5 ^ (1/2) * 5 ^ (1/3)
We know that a^b * a^ c = a ^ (b+c)
5 ^ (1/2 + 1/3)
5^ (3/6+2/6)
5^ (5/6)
120 because 60 times two is 120 and six times two is twelve
Area of the triangle = (1/2)*base*height
For right triangle base and height can be legs.
We have one leg = 5 ft. (Lets think it is a base.)
We need to find the other leg.
We are going to use Pythagorean theorem.
5² + b²=13²
b²=144
b=12 (It is going to be our height.)
Area of the triangle = (1/2)*5*12= 30 ft²
Area of the triangle = 30 ft²
Answer:
6
Step-by-step explanation:
10² = r² + 8²
100 = r² + 64
r² = 36
r = 6
