Answer:
C. 17.6
General Formulas and Concepts:
<u>Math</u>
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Trigonometry</u>
- [Right Triangles Only] SOHCAHTOA
- [Right Triangles Only] tanθ = opposite over adjacent
Step-by-step explanation:
<u>Step 1: Identify Variables</u>
Angle θ = 40°
Opposite Leg = <em>x</em>
Adjacent Leg = 21
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute in variables [tangent]:

- [Multiplication Property of Equality] Isolate <em>x</em>:

- Rewrite:

- Evaluate:

- Round:

945 is your answer but what number blank?
It's choice two. When you are putting the equation into y=mx+b form you have to subtract the 3x and put it onto the same side as 10. Then you would have 2y=-3x+10 then divide everything by 2 to have y be alone. Then it would be y=-3/2x+5 giving you the slope of the line being -3/2
<span>The answer is the third statement. "The triangles are congruent because triangle R'S'T' is a rotation of triangle RST and rotation in a rigid motion" The triangles are congruent because the image is a rotation (There is a rotation of 180 degrees) of the original and a rotation is a rigid motion. The best way to test it out is to assign values to the points for points R, S, and T and then apply the rule to see where the new image will be. </span>