Answer:
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Step-by-step explanation:
Answer:
The highest rate of birds is during the years 4 to 3
(remember that the lowest digit of number of negative is the highest and the highest is the lowest)
Step-by-step explanation:
Rate of Changes:
1 to 2: 5080.86 - 5238/ 2 - 1
= -157.14/1
= (convert to decimal) -157.1
2 to 3: 4928.43 - 5080.86/ 3 - 2
= -152.43/ 1
= -152.43
3 to 4: 4780.58 - 4928.43/ 4 - 3
= -147.85/ 1
= -147.85
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
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