Answer:
1. Opposite
2. angle-side-angle criterion
Step-by-step explanation:
Since ABCD is a parallelogram, the two pairs of <u>(opposite)</u> sides (AB¯ and CD¯, as well as AD¯ and BC¯) are congruent. Then, since ∠9 and ∠11 are vertical angles, it can be concluded that ∠9≅∠11. Since ABCD is a parallelogram, AB¯∥CD¯. Since ∠2 and ∠5 are alternate interior angles along these parallel lines, the Alternate Interior Angles Theorem allows that ∠2≅∠5. Since two angles of △AEB are congruent to two angles of △CED, the Third Angles Theorem supports that ∠8≅∠3. Therefore, using the <u>(angle-side-angle criterion)</u>, it can be stated that △AEB≅△CED. Then, applying the definition of congruent triangles, it can be stated that AE¯≅CE¯, which makes E the midpoint of AC¯. Use a similar argument to prove that △AED≅△CEB; then it can be concluded that E is also the midpoint of BD¯. Since the midpoint of both line segments is the same point, the segments bisect each other by definition. Match each number (1 and 2) with the word or phrase that correctly fills in the corresponding blank in the proof.
A parallelogram posses the following features:
1. The opposite sides are parallel.
2. The opposite sides are congruent.
3. It has supplementary consecutive angles.
4. The diagonals bisect each other.
The value of this account in 10 years is given by the formula:
FV = P*(1+r)^t
where FV is the future value in the account after 10 years(to be calculated)
P is the principal invested at the beginning
r is the interest rate and
t is the time horizon in years
Given, Invested Amount (P) = 20,000
Interest rate (r) = 5.5% = 0.055
Time horizon (t) = 10 years = 10
Substituting the formula, FV = 20,000*(1+0.055)^10 = 20,000*1.055^10 = 20,000*1.708144458 = 34,162.89
The value of this account after 10 years =$34,162.89 (Rounded to the nearest cent)
Which ordered pair is a solution of the equation y=-9+4 (10,-86)
Answer:
4*-2... answer D. is correct :)
Answer:
40 miles over the speed limit
Step-by-step explanation:
You want the difference between the two numbers so you subtract 45 from 85 which gives you 40
