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:
951.15 ltr
Step-by-step explanation:
first you convert inch into cm just to make things easier
1 inch = 2.54cm
so,
radius(r)= 24 inch = 24×2.54= 60.96cm≈ 61 cm
then calculate the volume of the sphere
i.e.
V = 4/3(πr³)= 4/3×22/7× 61³= 951158.47 cm³
Now that we have volume
we know that,
1 ltr = 1000cm³
sooo,
- x ltr= 951158.47÷1000= 951. 15 ltr
Answer:
56 = (0.85)w
Step-by-step explanation:
"is" translates to "=".
"of" translates to "×".
We can let "what number" translate to "w".
Then ...
56 is 85% of what number . . . . translates to ...
56 = 0.85×w
_____
Of course, you know that 85% = 85/100 = 0.85.
Answer: a= (4x-1)(6x+9)
Step-by-step explanation:
area= length x width
