Find the value of the variable and YZ if Y is between X and Z
2 answers:
If point Y is between points X and Z, then
XY + YZ = XZ
In words, the distance from X to Y, plus the distance from Y to Z, is equal to the distance from X to Z. (See the attached picture.)
So 6b + 8b = 175
Can you finish it?
XY + YZ = XZ
In words, the distance from X to Y, plus the distance from Y to Z, is equal to the distance from X to Z. (See the attached picture.)
So 6b + 8b = 175
Can you finish it?
Answer:
The value of b is 12.5. The length of YZ is 100 units.
Step-by-step explanation:
Given information: XY=6b, YZ=8b, XZ=175 and Y is between X and Z.
It means X,Y, Z are collinear points and point Y divides the line segment XZ is two ports.
Using segment addition property, we get
Substitute XY=6b, YZ=8b, XZ=175 in the above equation.
Divide both sides by 14.
The value of b is 12.5.
The length of YZ is
Therefore the length of YZ is 100 units.
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Answer:
The fraction of the rain filled in the gauge will be =
Diego wrote the division equation incorrectly.
It must be given as divided by
.
Step-by-step explanation:
Given:
After of an hour of rain the rain gauge is
filed.
To find the fraction of the rain that will be filled in the gauge if it continues to rain at the same rate for 15 more minutes.
Solution:
15 minutes in hours will be = =
of an hour.
Given that it has rained for of an hour, and it continues to rain for
of an hour more.
Thus, total time of rain will be =
Using unitary method to find the fraction of rain filled in the gauge after 1 hour of rain.
If in of an hour of rain the rain gauge is
filed.
Thus, in 1 hour of rain the gauge will be filled by =
To divide fractions, we take reciprocal of the divisor and replace division by multiplication.
⇒
⇒
Thus, the fraction of the rain filled in the gauge will be =
Diego wrote the division equation incorrectly.
It must be given as divided by
.