9(30+7) = (9*30)+(9*7)
This is the distributive property
x(y+z) = xy + xz
Let the dash = x
9(30+7) = (9*x)+(9*7)
9(37) = 9x + 63
333 = 9x + 63
Substract 63 from both sides
333 - 63 = 9x +63-63
270 = 9x
Divide both sides by 9
270/9 = 9x/9
30 = x
Or x = 30
Answer:
They are complementary angles.
Step-by-step explanation:
62° + 28°
= 90°
Answer:
(48.106 ; 53.494)
Step-by-step explanation:
Given the data:
X : 52 48 49 52 53
Sample mean = ΣX / n
n = 5
Sample mean, xbar = 254 / 5 = 50.8
Standard deviation, s = 2.17 (using calculator)
The standard error (SE) : s/√n =2.17/√5 = 0.970
The degree of freedom, df = n-1
df = 5 - 1 = 4
Tscore(0.05, 4) = 2.776
Confidence interval :
Xbar ± Tscore*standard error
50.8 ± (2.776 * 0.970)
50.8 ± 2.694
Lower boundary = 50.8 - 2.694 = 48.106
Upper boundary = 50.8 + 2.694 = 53.494
(48.106 ; 53.494)
8*8 = 64
9*9 = 81
so integer part of sqrt 70 is 8 Answer
It has to be the original figure but it is in a different spot on the graph