To factor, we always have to look for common factors in the numbers given to us. In this case, in 1/2 and 6, the common factor is 1/2. Therefore, we will have to factor like so:
1/2d + 6 = 1/2 (d + 3)
Hope this helps!
Answer:
<h3>Option D) 3 is correct</h3><h3>Therefore the value of x is 3</h3>
Step-by-step explanation:
Given equation is 
<h3>To find the value of x :</h3>
First solving the given equation we have,









( by using the property
)
( by using the property
)

( by using the property
)
Since bases are same so powers are same
Therefore we can equate the powers we get x=3
<h3>Therefore the value of x is 3</h3><h3>Option D) 3 is correct</h3>
Answer:

Step-by-step explanation:
We know that since angles in a triangle add up to 180º, the remaining angle must be 45º.
So the side with length
must be equal to the side with length
. That is:

Now, by Pythagoras:

Answer: 30 gallons
Step-by-step explanation:
So fist we add 40% and $40%. That's 80 percent of the tank which is 12 + 12 = 24. Then we figure out half of 40 percent which is 20 which means its 6 gallons. Now we add. 12+12+6 which equals our answer 30 gallons
Answer:
There were 20 picks total
Step-by-step explanation:
We can use a proportion to solve this problem. Put the orange picks on top and the total picks on bottom
3 orange 12 orange
-------------- = ---------------
5 total x total
Using cross products
3x = 5*12
3x= 60
Divide each side by 3
3x/3 = 60/3
x = 20
There were 20 picks total