Answer:
x = 15
LN and MO both equal 43
Step-by-step explanation:
LN and MO are diagonals in rectangle
Diagonals of a rectangle are congruent Hence, 4x - 17 = 2x + 13
Now we solve for x
4x - 17 = 2x + 13
Add 17 to both sides
4x = 2x + 30
Subtract 2x from both sides
2x = 30
Divide both sides by 2
x = 15
Now we want to find the values of LN and MO
To do so we substitute 15 for x in it's given expression ( note: because LN = MO we only need to do this process once )
LN = 4x - 17
Substitute 15 for x
4(15) - 17
Multiply
60 - 17
Subtract
LN and MO = 43
Answer:
52 inches by 29 inches
Step-by-step explanation:
Let one side by 16x and the other side be 9x
We know the diameter is 60 inches
Using the Pythagorean theorem
a^2 + b^2 = c^2
(16x) ^2 + ( 9x) ^2 = 60 ^2
256 x^2 + 81x^2 = 3600
Combine like terms
337 x^2 = 3600
Divide each side by 337
337x^2 /337 = 3600/337
x^2 =10.68249258
Take the square root of each side
sqrt(x^2) =sqrt(10.68249258)
x =3.268408264
The sides are 16x by 9x
16*(3.268408264) =52.29453223 or 52
9 *(3.268408264)= 29.41567438 or 29
Answer:
AB = 28 inches
Step-by-step explanation:
The length of LB = 14 inches
But; LB = AL
Therefore; AL = 14 inches
But; AB = AL + LB
Thus; AB = 14 inches + 14 inches
= 28 inches
Answer:
Congruent means identical, same or coinciding shape or dimensions.
Answer:
O None of these
