**Answer: x=20**

**Step-by-step explanation:**

If im wrong, sorry

The angles of a triangle add up to 180 degrees.

(3x+5)+(2x+17)+(2x+18)=180

add the ones alike

3x + 2x + 2x=7x

5+17+18=40

so, 7x+40=180

we need to get the variable by itself so we take away 40 first by subtracting it from both sides of the equal sign

7x=140

we take away 7 from x by dividing it- opposite of multiplication is division

x=20

You have to gist find the slope which is .75 then convert one of the points into point slope form so it would be y-5=.75(x-4) but is slope intercept form it would be y=.75+2

Okay. So t is in the parenthesis of the equations and represents the number of years after 1950. In this case, the first, second, third, and the seventh tile won't work, because those numbers are too big to be applicable as years. The number of vinyls sold each year would be put behind the equal sign. If you solve it correctly, here are your answers starting from the top:

1. f(8) = 68,594

2. f(11) = 91,299

3. f(2) = 38,720

4. f(17) = 161,743

**Answer:**

order:

-3 bills from first envelope (-30 dollars)

-2 bills from second envelope (-40 dollars)

-1 bill from third envelope (-50 dollars)

total least possible amount that can be taken out: 120

**Step-by-step explanation:**

Any other ways results in more than 120 being taken away. Need to have the least taken away from the 50 bill envelope because 50 is the largest bill. Take away the most from the 10 bill envelope because 10 is the smallest bill.

Solution: The correct option is **d**, i.e., **Translate vertex X to vertex A; rotate ΔXYZ to align the sides and angles**.

Explanation:

we know that the sum of angles of a triangle is always . In ΔXYZ,

In both triangles it is noticed that the sides AC and XZ are equal. In given triangles and .

By **AAS rule of congruence** ΔABC and ΔXYZ are congruent triangles, therefore we can transform ΔABC to ΔXYZ. For the transformation of ΔABC to ΔXYZ translate the vertex having same angle and rotate the triangle to align the sides and angles.

Since vertex X and vertex A have same angle, therefore we translate vertex X to vertex A and rotate ΔXYZ to align the sides and angles.

Hence the correct option is **d**.