8. The scatter plot shows a hiker's elevation above

sea level over time. The equation of the trend

line shown is y = 8.77x + 686. To the nearest

whole number, predict what the hiker's elevation

will be after 145 minutes.

The hiker's elevation  after 145 minutes will be 1958 meters.

Step-by-step explanation:

The equation of the trend line of the scatter plot showing a hiker's elevation is y = 8.77x + 686 (1), where x is in minutes (say) and y is in meters (say).

Now, we have to predict the hiker's elevation after 145 minutes.

So, from equation (1) we get, y = 8.77 × 145 + 686 = 1957.65 ≈ 1958 meters. (Answer)

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°