Answer:
21.4
Step-by-step explanation:
tan47° = x/20
1.072=x/20
20×1.072= x/20×20
x =20 ×1.072
x= 21.447
x=21.4
D. SSS congruence theorem
Step-by-step explanation:
<u><em>I got SSS since AB and CD are equal and BC and DA are equal plus + the fact that AC=AC shows that it is the SSS congruence theorem</em></u>
By Hand
Step 1:
Put the numbers in order.
1, 2, 5, 6, 7, 9, 12, 15, 18, 19, 27.
Step 2:
Find the median.
1, 2, 5, 6, 7, 9, 12, 15, 18, 19, 27.
Step 3:
Place parentheses around the numbers above and below the median.
Not necessary statistically, but it makes Q1 and Q3 easier to spot.
(1, 2, 5, 6, 7), 9, (12, 15, 18, 19, 27).
Step 4:
Find Q1 and Q3
Think of Q1 as a median in the lower half of the data and think of Q3 as a median for the upper half of data.
(1, 2, 5, 6, 7), 9, ( 12, 15, 18, 19, 27). Q1 = 5 and Q3 = 18.
Step 5:
Subtract Q1 from Q3 to find the interquartile range.
18 – 5 = 13.
Solve for x:10 - (7 x^2)/3 + X^4/3 = 0
Subtract X^4/3 + 10 from both sides:-(7 x^2)/3 = -X^4/3 - 10
Multiply both sides by -3/7:x^2 = X^4/7 + 30/7
Take the square root of both sides:Answer: x = sqrt(X^4/7 + 30/7) or x = -sqrt(X^4/7 + 30/7)