Answer:
Step-by-step explanation:
4. angle 3= 117, angle 4 and angle 2=63
5. angle 4= 59, angle 1 and 3= 121
6. angle 2= 88, angle 1 and angle 3= 92
Answer:
w = -1.44 and w = -14.06
Step-by-step explanation:
That "(3) / (4)" in (w+14)/(4w+6)=(3)/(4) looks fishy. Assuming that you really meant 3/4, then we have (w+14)/(4w+6)=3/4.
Mult. both sides by 4 to remove the fraction: 4(w+14)/(4w+6) = 3.
Multiply out (w+14)/(4w+6): 4w^2 + 6w + 56w + 84. Combine the w terms, obtaining 4w^2 + 62w + 84. Then the original equation becomes:
4w^2 + 62w + 84 = 3, or 4w^2 + 62w + 81 = 0.
This is a quadratic equation, with a = 4, b = 62 and c = 81. The two roots (values of
w) are as follows:
-62 plus or minus √(62^2-4(4)(81)
----------------------------------------------------------
8
-62 plus or minus √(2548) -62 plus or minus 50.48
w = ------------------------------------------- = ---------------------------------------
8 8
Simplifying, we get w = -1.44 and w = -14.06
So to solve, make an equation (x being the shorter side)
2x+2(7+x)=42
So just solve from here.
2x + 14 + 2x =42
4x=28
x=7
So the shorter side is 7, and the longer side is 14.
Answer:
19.685
Step-by-step explanation:
The value of 6 is 6 hundreths
