Within the image, you see two triangles, you are able to tell that these triangles share two of the same sides, because of congruency lines on each of them.

The first group of congruent sides have 1 line going through them, the second group has 2 lines going through them. Let's go with the first group.

With the first group, we are using the lines CB and FE, where the measurements on each of them are 3x+1 and x+3 respectively.

Since they are congruent, they are equal and we can just set them equal to each other.

Starting With:

3x+1 = x+3

Step 1) Cancel out the +1

3x+1 -1 = x+3 -1

3x = x+2

Step 2) Cancel out the x

3x -x = x+2 -x

2x = 2

Step 3) Divide by 2 get x by itself

2x/2 = 2/2

x=1

All done!

5 0

3 years ago

The current value of a baseball card is 50 times its original value v (in dollars). The baseball card is worth $62. Write and so

ehidna [41]

If the current value of the baseball car is 50 times its original value, its original value will be its current value divided by 50.

Let $v$ represent the current value of the baseball card. We know form our problem that $62 is 50 times the original value, $v$ , of the baseball card, so translating this statement to an equation we get:
$62=50v$
$v= \frac{62}{50}$
$v=1.24$

We can conclude that the original value of the baseball card was $1.24.

4 0

4 years ago

Two crews working toward each other are 6.75 miles apart one crew paves 1.3 miles of highway per day and the other paves 1.4 mil

andre [41]

One crew is doing 1.3 miles daily, the other is doing 1.4 miles daily, so both together are doing 1.3 + 1.4 miles daily, namely 2.7 miles.

now, they are 6.75 miles apart, how many days will it be at a rate of 2.7 miles per day, that 6.75 miles will be done? $\bf \cfrac{6.75}{2.7}$ days

8 0

3 years ago

What type of function is y=2x^2

anastassius [24]

I guess the function is a parabola with vertex at (0,0) and opens down so the range is (-infinity, 0].

4 0

3 years ago