The triangle shown below has an area of 121212 units^2
2
squared.
Find xxx.

4

Step-by-step explanation:

Let's set up an equation using the formula for the area of a triangle.

Hint #22 / 3

\begin{aligned} \text{Area of a triangle} &= \dfrac12 \cdot \text{base} \cdot \text{height} 12&= \dfrac12 \cdot 6 \cdot x 12&= 3x \dfrac{12}{\blueD{3}}&= \dfrac{3x}{\blueD{3}} \text{divide both sides by } {\blueD{ 3}} \dfrac{12}{\blueD{3}}&= \dfrac{\cancel{3}x}{\blueD{\cancel{3}}} x &=\dfrac{12}{\blueD{3}} x &=4\end{aligned}  

Area of a triangle

12

12

3

12

3

12

x

x

=  

2

1

⋅base⋅height

=  

2

1

⋅6⋅x

=3x

=  

3

3x

       divide both sides by 3

=  

3

3

x

=  

3

12

=4

1. sometimes

2.   never

3   .08c = 7.50+.05c   250 pages

step-by-step explanation:

1.   sometimes

the theoretical probability of rolling a 1 is 1/6.   perhaps you got really lucky and never rolled a 1   in those 60 times.   your experimental probability is 0.   or perhaps you rolled a 1   20 times.   your experimental probability is 20/60 is 1/3.     it really just depends on how you rolled in that experiment.

2.   never

the probability of the event occurring is 1.   that is being 100 % sure it will happen.   that is the maximum amount of confidence we have.

3.   no customer card cost:   .08 times number of pages

customer card cost:   7.50 + .05 times number of pages

we want to find when it costs the same amount, so we will set these equal

let c = number of pages

.08c = 7.50+.05c

subtract .05c from each side

.08c-.05c = 7.5+.05c-.05c

.03c=7.5

divide each side by .03

.03c/.03 = 7.5/03

c =250  

the cost is the same at 250 pages