ANSWER
10.9
EXPLANATION
We use the Altitude Theorem to determine the value of h.
According to the Altitude Theorem, the height, h is equal to the geometric mean of the two segment created by the leg of the altitude on the hypotenuse.
This implies that:

That's,




to the nearest tenth.
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Because the area of a trapezoid is A= ((a+b)/2)h, where a is the length of the top, b is the length of the base, and h is the height, you plug that in to find your answer.
This trapezoid is sideways, but the top of it is 7m (which is a) and the base is 10 m (which is b), add a and b to get 17, A = ((17)/2)h
Now divide by 2 to get A = (8.5)h
Because the height is 9, A = (8.5)9 = 76.5
The area of the trapezoid alone is 76.5m
Answer:

Step-by-step explanation:
The model for an exponencial function is:

'c' is the value of the asymptote, so we have c = 3.
To find the value of 'a', let's use the point (0,5):



Now, to find the value of 'b', let's use the point (1, 7):




So our function is:

Let's check if the point (-1, 4) is inside our function:



Base angles.
They are congruent.