Answer:
The answer is (D) ⇒ AE ≅ CE
Step-by-step explanation:
∵ <em>ABCD is a parallelogram</em>
∴ AB = DC , AB // DC
∴ BC = AD , BC // AD
∴ m∠A = m∠C , m∠B = m∠D
∴ AC and BD bisect each other at E
∴ AE = CE
∴ The right statement is D ⇒ AE ≅ CE
Answer:
The average rate of change of f(x) over the interval 1 ≤ x ≤ 4 is -1.
Step-by-step explanation:
We are given the function:
And we want to determine its average rate of change over the interval:
The average rate of change is synonymous with the slope. So, to find the average rate of change, we simply need to find the slope between the two endpoints.
Evaluate each endpoint:
So, our endpoints are (1, -1) and (4, -4).
The slope between them is:
So, the average rate of change of <em>f(x)</em> over the interval 1 ≤ <em>x</em> ≤ 4 is -1.
Answer:infinite
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
6x−54=6(x−9)
6x+−54=(6)(x)+(6)(−9)(Distribute)
6x+−54=6x+−54
6x−54=6x−54
Step 2: Subtract 6x from both sides.
6x−54−6x=6x−54−6x
−54=−54
Step 3: Add 54 to both sides.
−54+54=−54+54
0=0
The base is from 2 to 7, which is 5 units long.
The height is from 1 to 8, which is 7 units tall.
Using the Pythagorean theorem we can calculate the hypotenuse:
Hypotenuse = √5^2 +7^2=
√25 +49=
√74=
8.6
Perimeter = 5 + 7 + 8.6 = 20.6
The answer is C.
Answer:
the answer is... Amelia is 5 feet tall and casts a 4-foot shadow.
A tree next to her casts a 12-foot shadow.
The two triangles formed are similar because the angle to the sun is the same.
Choose two equations that can be used to find the height, h, of the tree.
Step-by-step explanation:
hope it helps
