Answers:
a. Given
b. Transitive property of congruence
c. Vertical angles are congruent
d. Transitive property of congruence
Let me know if you need any clarification as to how I got those answers. They should be self-explanatory but I'm happy to clarify further if needed.
Answer:
<h2><em><u>62</u></em><em><u>.</u></em><em><u>2</u></em></h2>
Step-by-step explanation:
4n × 2 + 43
<em>[</em><em>By</em><em> </em><em>putting</em><em> </em><em>the</em><em> </em><em>value</em><em> </em><em>of</em><em> </em><em>n</em><em> </em><em>=</em><em> </em><em>2</em><em>.</em><em>4</em><em>]</em>
= (4 ×2.4) × 2 + 43
= 9.6 × 2 + 43
= 19.2 + 43
= <em><u>62.2 (Ans)</u></em>
Answer:
8
Step-by-step explanation:
g(x) is a piecewise function in such a way that it changes how it's defined based on what x happens to be. There are three cases
Case A: g(x) = x-1 but only if
(x is between -2 and -1; including -2 but excluding -1)
Case B: g(x) = 2x+3 but only when
(x is between -1 and 3; including -1 but excluding 3)
Case C: g(x) = 6-x but only when 
The input is x = 3 since we want to find the value of g(3). So we look at the 3 cases above (A,B,C) and determine that we use case C. Why? Because x = 3 makes
true. Put another way, x = 3 is in the interval [3, infinty). So we'll use g(x) = 6-x to find that...
g(x) = 6-x
g(3) = 6-3
g(3) = 3
Answer: 3