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:
1) x=67, y=83, z=80 2) x=5
Step-by-step explanation:
1) 28+85=113 a triangle is 180 degrees so 180-113=67 so x=67
x and y are supplementary meaning both sides equal 150 so 150-67=83
83+17=100 now going back how much did i say a triangle should equal? 180 so z is 80
2)a triangle = 180 since the triangle is a right angle it includes the angle 90 so make the equation to solve for x
180=90+8x+2+9x+3
take 90 to other side so you are subtracting 180-90
90=8x+2+9x+3
combine like terms
90=17x+5
subtrcat 5 from 90
85=17x
now divide 85 by 17 and you get x=5
Answer:boy
Step-by-step explanation:boy
The perimeter is adding all four sides together.
In a rectangle the two opposite sides are identical, so there are two sides 2 ft long and 2 sides 3.4 ft long.
Perimeter = 2 + 2 +3.4 + 3.4 = 10.8 feet.
The law of cosines is
c= square root of a^2 + b^2 - 2ab cos c
the law of sines is
a = b(sin a /sin b)
