Find the value of x in the triangle shown below
1 answer:
Answer:
46°
Step-by-step explanation:
We can tell that this triangle is an isosceles triangle because 2 of it's sides are the same, therefore, two of it's angles are the same.
Looking at it, we can assume that the two angles not defined (x and the other one) are the two angles that are the same because they look similar.
Now, the angles of all triangles add up to 180°. So, we can subtract 88° from 180 to see what the two angles add up to.
So both of these angles add up to 92 degrees. Since there are two, we divide 92 by 2.
Hope this helped!
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Answer:
The everage rate of change over the interal 4 ≤ x ≤ 8 will be: 60
Step-by-step explanation:
Given the function
Interval : 4 ≤ x ≤ 8
or
Interval = [4, 8]
so
at x₁ = 4, f(x₁) = 2ˣ - 12 = 2⁴ - 12 = 16-12 = 4
at x₂ = 8, f(x₂) = 2ˣ - 12 = 2⁸ - 12 = 256 - 12 = 244
Using the formula to determine the average rate of change over the interval 4 ≤ x ≤ 8 wil be:
Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]
= [244 - 4] / [8-4]
= 240 / 4
= 60
Therefore, the everage rate of change over the interal 4 ≤ x ≤ 8 will be: 60