The two triangles are similar triangles.
The smaller triangle has hypotenuse 6 and a horizontal leg of 4
The large triangle has hypotenuse 6+12=18 and a horizontal leg of x, where x is some number larger than 4
Because the triangles are similar, we can form the proportion below and solve for x
x/4 = 18/6
6*x = 4*18
6*x = 72
6*x/6 = 72/6
x = 12
Final Answer: 12
Answer:
x=-1, y = 2, z = 1
Step-by-step explanation:
We are given with three equations and we are asked to find the solution to them.
2x + 2y + 3z = 5 ------------- (A)
6x + 3y + 6z = 6 --------------(B)
3x + 4y + 4z = 9 ---------------(C)
Step 1 .
multiplying equation (A) by 3 and subtracting B from the result
6x + 6y + 9z = 15
6x + 3y + 6z = 6
- - - = -
_______________
3y+3z=9
y+z=3
y=3-z ----------------- (C)
Step 2.
Substituting this value of y in equation B and C
6x + 3(3-z) + 6z = 6
6x+9-3z+6z=6
6x+3z=-3
2x+z=-1 ----------------(D)
3x + 4(3-z) + 4z = 9
3x+12-4z+4z=9
3x=-3
x=-1 ------------ (E)
Putting this value f x in (D)
2(-1)+z=-1
-2+z=-1
z=1
Now we put this value of z in equation (C)
y=3-z
y=3-1
y=2
Hence we have
x=-1, y=2 and z=1
Answer:
59.81 in all
Step-by-step explanation:
Answer:
760
Step-by-step explanation:
95% of 800?
°C = 5/9 (°F - 32)
°C = 5/9 (38 - 32)
= 5/9 (6)
= 30/9 = 3 e 1/3 .
