From the two right triangles, you can write the following equations using the Pythagorean theorem. Let's call that shared leg in the middle "y"
y^2 + b^2 = a^2
y^2 + c^2 = x^2
y^2 + b^2 = a^2
re-write this to get "y" alone for substitution.
y^2 = a^2 - b^2
substitute (a^2 - b^2) for y^2 in the other equation. y^2 + c^2 = x^2
a^2 - b^2 + c^2 = x^2
Now put in the values given for a,b,c to solve for x
(7.1)^2 - (5.6)^2 + (5.7)^2 = x^2
51.54 = x^2
square root
7.2 = x
I believe the answer is 4?
All you have to do is divide 7 by 8 (so 7/8) and you get the answer: 0.875! hope that helps! :)
Answer:
1. w = 3l
2. k = 1/2 * b
Step-by-step explanation:
1. w = 3l
w = width l = length
Since we are solving the equation for the width, we can make the equation w = ? for now. since the width is equal to three times the length, we can make the equation w = 3l.
2. k = 1/2 * b
k = kool-aid b = beef
Since we are solving the equation for the kool-aid, we can make the equation k = ? for now. since the kool-aid is equal to half the beef sold, we can make the equation k = 1/2 * b
I hope this helped and please mark me as brainliest!
Answer:
144 degrees
Step-by-step explanation:
9x + 27 = 6x + 66
3x + 27 = 66
3x = 39
x = 13
9(13) + 27 = 144