Find the value of the variable and YZ if Y is between X and Z. XY= 11, YZ=4c, XZ=83

2 answers:

8 0

So you know the whole line is XZ which is 83.Then you find out it is in two parts so that is XY and YZ which are 11 and 4c. You can make the equation:

11+4c=83
4c=72
c=18

c=18 and YZ=72

Snowcat [4.5K]3 years ago

4 0

Answer: The required value of the variable c is 18 and that of YZ is 72.

Step-by-step explanation: Given that Y is in between X and Z, where

XY= 11, YZ=4c and XZ=83.

We are to find the value of the variable c and YZ.

Since the point Y is in between X and Z, so we must have

$XY+YZ=XZ\\\\\Rightarrow 11+4c=83\\\\\Rightarrow 4c=83-11\\\\\Rightarrow 4c=72\\\\\Rightarrow c=\dfrac{72}{4}\\\\\Rightarrow c=18.$

And,

$YZ=4c=4\times 18=72.$

Thus, the required value of the variable c is 18 and that of YZ is 72.

You might be interested in

X+2y=7 3x-2y=-3 solving systems by substitution

strojnjashka [21]

Move 2y to the right hand side of the equation by subtracting 2y from both sides.
x=−2y+7
3x−2y=−3

Replace all occurrences of x with the solution found by solving the last equation for x. In this case, the value substituted is −2y+7.
x=−2y+7
3(−2y+7)−2y=−3

Simplify each term.
x=−2y+7
−6y+21−2y=−3

Add −6y and −2y to get −8y.
x=−2y+7
−8y+21=−3

Move 21 to the right hand side of the equation.
x=−2y+7
−8y=−21−3

Subtract 3 from −21 to get −24.
x=−2y+7
−8y=−24

Divide each term in the equation by −8.
x=−2y+7
y=3

Replace all occurrences of y with the solution found by solving the last equation for y. In this case, the value substituted is 3.
x=−2(3)+7
y=3

Multiply −2 by 3 to get −6.
x=−6+7
y=3

Add −6 and 7 to get 1.
x=1
y=3

(1,3)

5 0

3 years ago

True or false? A corollary is a statement that can be proved using a theorem, but the proof is usually difficult.

mrs_skeptik [129]

Answer: False.

Step-by-step explanation:

A corollary is the statement that follows with no or small proof required from an already proven statement or theorems.

Its proof is not difficult because it is based on the statement or theorem which has been already proved.

For example the fundamental theorem of algebra and its corollary.

Therefore, the statement "A corollary is a statement that can be proved using a theorem, but the proof is usually difficult." is false.

5 0

3 years ago