Answer:
see below
Step-by-step explanation:
<h3>Proposition:</h3>
Let the diagonals AC and BD of the Parallelogram ABCD intercept at E. It is required to prove AE=CE and DE=BE
<h3>Proof:</h3>
1)The lines AD and BC are parallel and AC their transversal therefore,
![\displaystyle \angle DAC = \angle ACB \\ \ \qquad [\text{ alternate angles theorem}]](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20%20%5Cangle%20DAC%20%3D%20%20%5Cangle%20ACB%20%5C%5C%20%20%5C%20%5Cqquad%20%5B%5Ctext%7B%20alternate%20angles%20theorem%7D%5D)
2)The lines AB and DC are parallel and BD their transversal therefore,
![\displaystyle \angle BD C= \angle ABD \\ \ \qquad [\text{ alternate angles theorem}]](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20%20%5Cangle%20BD%20C%3D%20%20%5Cangle%20ABD%20%5C%5C%20%20%5C%20%5Cqquad%20%5B%5Ctext%7B%20alternate%20angles%20theorem%7D%5D)
3)now in triangle ∆AEB and ∆CED
therefore,
hence,
Proven
Answer:
15
Step-by-step explanation:
I THINK THIS IS CORRECT
Answer: Mays throw was 9.67 feet farther than Roberts.
It could mean
1. simple interest
2. compound interest
1.simple interest
so just 8% of that 700 is added on
find 8% of 700
8% of 700=0.08 times 700=0.56
6 years=0.56 times 6=3.36
add
3.36+700=703.36
2. compound interst
that means the each year, it gives you 8% on that new thing
so
8%=0.08
so each year, it is multiplied by 1.08 since you add the original (1) to the 8% 0.08
so
6 years means
700 times 1.08^6=700 times 1.08 times 1.08 times 1.08 times 1.08 times 1.08 times 1.08=1110.81
answers are
if simple interest=$703.36
if compound interst=$1110.81
