Answer:
Step-by-step explanation:
humba shea de mora 3end
Answer:
x = 1/3
There is one solution
Step-by-step explanation:
3x -1= 1-3x
Add 3x to each side
3x+3x -1= 1-3x+3x
6x-1 =1
Add 1 to each ide
6x-1+1 = 1+1
6x =2
Divide each side by 6
6x/6 = 2/6
x = 1/3
There is one solution
Because these triangles are congruent, then angle a is the same degree measure as angle x; angle b is the same as y; and angle c is the same as z. We also know that, because of the Triangle Angle-sum Theorem, all the angles of a triangle have to add up to equal 180 degrees. So for us that means that a+b+c(which is also z) = 180. 50 + 2x + 40 + 4x + 8 = 180. Combining like terms we have 6x + 98 = 180. Subbtracting 98 from both sides gives us 6x = 82 and x = 13 2/3
You haven't told us whether 9 and 12 are the two legs of the triangle, or whether the 12yd is the longest side.
<u>If the 9 and the 12 are the two legs, then</u>:
C² = A² + B²
C² = 81 + 144
C² = 225
C = <u>15 yd</u>
<u>If the 12 is the longest side, then</u>:
(12)² = (9)² + B²
B² = (12)² - (9)² = 144 - 81 = 63
B = √63 = <u>7.937</u>yd (rounded)