D
uses the the formula y=mx+b and m is the slope. b is the y intercept.
Answer:
first one : x=−2y−5z−17
2nd one: x=
3
/2
y−z−8
3rd one: x=
−1
/3
y+
1
/3
z+1
Step-by-step explanation:
13, because 78 postcards divided by 6 cards per board = 13 poster boards
Answer:
The length of legs lm, mn, and lk is 32 while that of kn is 36.
Step-by-step explanation:
The diagram is attached in the answer.
As both the angles are equal thus the two forms isosceles triangles. This is true because the converse of base angle theorem is applicable here. The theorem clearly states that when a trapezoid is divided by the diagonal, it forms two set of angles where m<1=m<2 and m<lmk=m<nmk
This leads the two set of legs such as

Or this could be written as

Now the remaining two sides are given as
as this form an isosceles triangle so

Similarly

Or

Now the perimeter is given as

Here perimeter is given as 132 so this gives:

So the four legs are of length as given below:

So the length of legs lm, mn, and lk is 32 while that of kn is 36.
Answer:
0.1039
Step-by-step explanation:
Obtain the place value of 9 in each value and choose the smallest :
1.95
9 is the first digit after the decimal point ; which is equal to 0.9 = tenth place
0.1039
9 is the 4th digit after the decimal point ; which is equal to 0.0009 = ten thousandth place
3.092
9 is the second digit after the decimal point ; which is equal to 0.09 = hundredth place
2.009
9 is the third digit after the decimal point ; which is equal to 0.009 = thousandth place
Hence the smallest value of 9 among the options given resides in 0.1039 (ten thousandth place).