Answers:
u = 18
v = 20
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Work Shown:
The leg YZ is congruent to the left FH
This means YZ = FH and that leads to u+v-18 = 10u-8v
The hypotenuse ZX is congruent to the hypotenuse HG
This means ZX = HG and we get the equation 14v-14u+32 = v+u+22
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The system of equations we have so far is
u+v-18 = 10u-8v
14v-14u+32 = v+u+22
Let's get the equations into standard form
Start with the first equation
u+v-18 = 10u-8v
u+v = 10u-8v+18
u+v-10u+8v = 18
-9u+9v = 18
-9(u-v) = 18
u-v = 18/(-9)
u-v = -2
Note how we can solve for the variable u to get
u = v-2
which we'll use later
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Let's get the other equation into standard form as well
14v-14u+32 = v+u+22
14v-14u-v-u = 22-32
-15u+13v = -10
Now plug in u = v-2 and solve for v
-15u+13v = -10
-15(v-2) + 13v = -10
-15v+30+13v = -10
-2v+30 = -10
-2v = -10-30
-2v = -40
v = -40/(-2)
v = 20
Which means,
u = v-2
u = 20-2
u = 18
We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area. Hope this helps!
Answer:
-------------------Heya Kjowanpreet!--------------
GiveN :
- Sides of the triangle : 3 in , 5 in and 4 ft
To FinD :
- Area of the provided right angled triangle
FormulA :
- Area of right angled triangle = 1/2 b × p where b = base & p = perpendicular. Here , Perpendicular = 3 in and base = 4 in
SolvinG :
- Yay ! Finally , We solved. Our final answer is 6 square inches.
-------------HappY LearninG <3 ---------------
Made by desmos graphing calculator
Answer:
Step-by-step explanation:
Lets keep the variable terms in L.H.S. and the constant terms in R.H.S.
Lets divide 43 on both the sides.
