Surface are of a rectangular prism = 2(l x w + l x h + w x h) = 2(10 x 3 + 10x + 3x) = 2(30 + 13x) = 60 + 26x
Volume of a rectangular prism = l x w x h = 10 * 3 * x = 30x
Since surface area = volume
60 + 26x = 30x
4x = 60
x = 15 in
Answer:
C
Step-by-step explanation:
To solve, use inverse operations:

Now we solve for both +/- 7.
x+6=7
x=1
x+6=-7
x=-13
Answer:
i think it is S
Step-by-step explanation:
i took the test on k12
Answer:
The length of AC is 222 units.
Step-by-step explanation:
Given AC and AE are common external tangents of G and D.
BC= 123 , GB=20 and AG=101.
We have to find the measure of AC.
As, a straight line joined from the center i.e radius is perpendicular to tangent drawn. Therefore,
In ΔABG, by Pythagoras theorem

⇒ 
⇒ 
⇒ AB=99 units.
Hence, AC=AB+BC=99+123=222 units.
The length of AC is 222 units.
<span>x=3y-8
3x-4y=-9
We are told that:
</span>x=3y-8
So replace x in 3x-4y=-9 with x=3y-8 like so:
3(3y-8)-4y=-9
Start by distributing the 3:

Now you have:

Combine like terms, now you have:

add 24 to both sides

Now you have:

Divide both sides by 5 to get:
y=3
Now that you know y=3 plug it into:
x=3y-8
x=3(3)-8
x=1
Final answer: (1,3)