Answer:
(x-6) (x-4)
Step-by-step explanation:
x^2 - 10x + 24
What 2 numbers multiply to 24 and add to -10
-6*-4 = 24
-6+-4 = -10
(x-6) (x-4)
Answer:
Yes, I can reject the null hypothesis with 95% confidence.
Step-by-step explanation:
Critical value t(63) = 1.99
p-value = 0.03
Confidence level (C) = 95% = 0.95
Significance level = 1 - C = 1 - 0.95 = 0.05
Conclusion:
Reject the null hypothesis because the p-value 0.03 is less than the significance level 0.05.
Answer:
x=9
Step-by-step explanation:
Use the intersecting chord theorem:
RE*ET = UE*ES
Substitute values
21 (2x+2) = 30 (x+5)
Expand:
42x+42 = 30x + 150
transpose and simplify
42x-30x = 150 - 42
12x = 108
x = 9
Answer:
∠ GDH = 67.5°
Step-by-step explanation:
The measure of the chord- chord angle GDH is half the sum of the measures of the arcs intercepted by the angle and its vertical angle.
∠ GDH =
(GH + EF) =
(90 + 45)° = 0.5 × 135° = 67.5°
Answer:
D
Step-by-step explanation:
The centroid of a triangle is the intersection of the three medians of the triangle (each median connecting a vertex with the midpoint of the opposite side).