Answer:
2/3
Step-by-step explanation:
32(4x – 1) – 3x = 54 –(x + 2)
⇒ 32×4x-32-3x= 54-x-2 (using the distributive property)
⇒ 128x-32-3x=54-x-2
Taking terms on x on one side and constant term on other, we get
128x-3x+x= 54-2+32
⇒ 126x= 84
⇒ x= 84/126
⇒ x= 2/3
ik this might not make sense but hope this helps
Answer:
D. The quadrilateral is a rhombus.
Answer:

Step-by-step explanation:
Hello, please consider the following.

Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Answer:
The rock will take about 4.5 seconds to reach the river
Step-by-step explanation:
* lets study the situation of the rock
- The rock is dropped means the initial velocity is zero
- The motion is free fall under earth gravity
- The rock dropped from a bridge 320 feet above the river
- The equation of the pathway is h = -16t² + 320
- When the rock reach to the ground the height will be zero
* Now lets substitute h by zero in the equation to find t
∵ h = -16t² + 320
∵ h = 0
∴ 0 = -16t² + 320 ⇒ add 16t² to both sides
∴ 16t² = 320 ⇒ divide both sides by 16
∴ t² = 320/16 = 20
∴ t² = 20 ⇒ take √ for both sides
∴ t = √20 = 2√5 ≅ 4.5 seconds
* The rock will take about 4.5 seconds to reach the river
Answer:
8.5 inches
Step-by-step explanation:
To find the height of Aba's dog -
Subtract 5 1/2 from 14 to find the amount she grew:
The result should be 8.5 or 8 1/2.
So Aba's dog grew 8.5 inches.