10
Step-by-step explanation:
Answer:
x = 28
Step-by-step explanation:
Given that lines AB and CD are straight lines that intersects at O, it follows that the pair of opposite vertical angles formed are congruent.
Thus,
<AOD = <BOC
<AOD = 152°
<BOC = 3x + x + (x + 12) (angle addition postulate)
<BOC = 5x + 12
Since <AOD = <BOC, therefore,
152° = 5x + 12 (substitution)
152 - 12 = 5x (subtraction property of equality)
140 = 5x
140/5 = x (division property of equality)
28 = x
x = 28
Answer:
Step-by-step explanation:
^^there are 20 Trucks in total And 5 cars
Answer:

Step-by-step explanation:
Given

Required
The vertex
We have:

First, we express the equation as:

Where

So, we have:

--------------------------------------------
Take the coefficient of x: -1
Divide by 2: (-1/2)
Square: (-1/2)^2
Add and subtract this to the equation
--------------------------------------------



Expand

Factorize

Factor out x - 1/2




Compare to: 


Hence:

Answer:
35
Step-by-step explanation:
Let me know if I got it right