Answer:
a) 25/324
b) 1/4
c) 1/3
Step-by-step explanation:
a) [⅓A + ⅓B]² = (⅓)²[A + B]²
= (1/9) [½ + ⅓]²
= (1/9)(⅚)²
= (1/9)(25/36)
= 25/324
b) ½ × ½ = ¼
c) (½ × ⅓) + (⅓ × ½) = 2 × ⅙ = ⅓
Answer:
b=-5, m= - 3/-2
Step-by-step explanation:
Slope equation is y=mx+b. Slope is finding the rise(vertical change) over run(horizontal change). In this case, -3 is our negative rise and 2 is our run. Put that into fraction form, we get negative 3/2. In the slope equation, b represents the y-intercept(where the line touches the y-axis). In this case, it is -5. Hope this helps you!
Answer:
1 and 2 are not congruent; 1 and 3 are congruent; 1 and 4 are congruent; 2 and 3 are not congruent; 2 and 4 are not congruent; 3 and 4 are congruent.
Step-by-step explanation:
From the diagram, we can see that the angle measures and side measures of figures 1, 3 and 4 are the same. This means that these three figures are congruent. Figure 2, however, is not congruent to any of the other 3.