Answer:
x = 8
Step-by-step explanation:
We can see that in the picture that they are similar triangles and that CA is four times VT, so that means that all the sides in triangle TUV are four times those in triangle ABC. We now know that TU is four times AB, and 8 times 4 is 32, so we can say that 5x - 8 = 32. Now, we can add by 8 on both sides to get that 5x = 40. Now, we divide by five on both sides to get that x = 8.
Answer:
D
Step-by-step explanation:
The diagonals of a rhombus bisect each other, thus
FJ = JH, that is
y + 5 = 4x ( subtract 5 from both sides )
y = 4x - 5 → (1)
In a rhombus all sides are congruent, thus
HG = EF, substitute values
3x + y = 2x + y + 2 ( subtract y from both sides )
3x = 2x + 2 ( subtract 2x from both sides )
x = 2
Substitute x = 2 into (1)
y = 4(2) - 5 = 8 - 5 = 3
Thus
EF = 2x + y + 2 = 2(2) + 3 + 2 = 4 + 3 + 2 = 9 → D
Combined is 5 7/8
since 1/2 is equal to 4/8 and then 5 4/8+3/8=5 7/8
