Hello! You should select a, b, and c.
Think of it like on a number line, x could be 5, or -5 and still be the same distance from 0. Absolute vales are the same way, so if the answer is 5 or -5, its right! It cant be the last one because x, must only be 5 or -5. Hope that helps!
Answers:
x = 5
m∠C = m∠H = 38 degrees
WORKINGS
Given that ABCD ≅ FGHJ
We know that corresponding angles of two congruent
quadrilaterals are equal
Therefore,
m∠A = m∠F
m∠B = m∠G
m∠C = m∠H
m∠D = m∠I
Given,
m∠C = 9x – 7
m∠H = 5x + 13
Since m∠C = m∠H
9x – 7 = 5x + 13
Add 7 to both sides of the equation
9x – 7 + 7 = 5x + 13 + 7
9x = 5x + 20
Subtract 5x from both sides of the equation
9x – 5x = 5x – 5x + 20
4x = 20
Divide both sides of the equation by 4
4x/4 = 20/4
x = 5
To determine the measures of angle C and angle H
m∠C = m∠H
We know that m∠C = 9x – 7
Since x = 5
m∠C = 9(5) – 7
m∠C = 45 – 7
m∠C = 38
Therefore, m∠C = m∠H = 38 degrees
Answer:
B. 88
Step-by-step explanation:
the total data = 1+2+4+5 = 12
the median is (a6+a7) /2
a6 = 87, a7 = 89
so, the median = (87+89)/2 = 88
Answer:
a(n) = 
Step-by-step explanation:
The given expression is in the form of the explicit formula of a geometric sequence.
f(n) = 
Where 'a' = First term of the sequence
r = common ratio
Recursive formula of a geometric sequence is,
a(n) = 
a(n) =
Where,
So the recursive formula will be a(n) =
B is the only answer that would make sense.
