2y+4=3(y-1)
2y+4=3y-3
4+3=3y-2y
Y=7
X=2
Answer:
16.9 cm
Step-by-step explanation:
The volume of a prism = Area of base × height
For a rectangular prism, the base of the area = length × breadth
The volume of the liquid = 92 L
Since 1 L = 1000 cm³, 92 L = 92000 cm³
92000 = 85 × 64 × h
5440 h = 92000
h = 92000 ÷ 5440 = 16.9 cm
Given that the triangles are similar.
When triangles are similar, all three pairs of corresponding sides are in the same ratio.
Similarly in the given triangles, the ratio of the corresponding sides are equal.
![\frac{8}{2x-2}= \frac{8+6}{3x}](https://tex.z-dn.net/?f=%20%5Cfrac%7B8%7D%7B2x-2%7D%3D%20%5Cfrac%7B8%2B6%7D%7B3x%7D%20)
![\frac{8}{2x-2}= \frac{14}{3x}](https://tex.z-dn.net/?f=%20%5Cfrac%7B8%7D%7B2x-2%7D%3D%20%5Cfrac%7B14%7D%7B3x%7D%20)
Cross multiplying, we get
![8 \times 3x = 14 \times (2x-2)](https://tex.z-dn.net/?f=%208%20%5Ctimes%203x%20%3D%2014%20%5Ctimes%20%282x-2%29%20)
![24x = 28x-28](https://tex.z-dn.net/?f=%2024x%20%3D%2028x-28%20)
![-4x = -28](https://tex.z-dn.net/?f=%20-4x%20%3D%20-28%20)
Dividing both sides of the equation by -4.
So, we get
x = 7.
Answer= .2 probability
Explanation: Since there is a total of 10 marbles, and 2 are red, you would divide the red marbles (2) out of the total marbles (10) which would get u .2. Since it’s asking for probability, we would keep .2 a decimal.
If T and V are complementary angles, their sum is 90°.
V + T = 90°
48° + (2X+10)° = 90° . . . . . . . substitute given information
2X + 58 = 90 . . . . . . . . . . . . .. collect terms
2X = 32 . . . . . . . . . . . . . . . . .. subtract 58
X = 16 . . . . . . . . . . . . . . . . . .. divide by 2
The value of X is 16.