Answer:
40%
Step-by-step explanation:
ok so first find the og price:
100% - 20% = 80%
so 80% = 200
let the 100% be x:
x * 0.8 = 200
x= 250
100% = 250
(difference/ og price) * 100% = the percentage decrease/ increase
(250-150/250)* 100% = 40%
OR
((the final price/ og price) * 100%) - 100%
((150/250)*100%) - 100% = 40%
There was a 40% decrease from the og price to the final price of 150.
Two angles are called supplementary if their sum is equal to 180°
<span>to find the measure of an angle that is supplementary to POS, we have the following equation
measPOS + x = 180°, where x is supplementary to POS </span>
Answer:
The answer is C
Step-by-step explanation:
17 would be the distance eliminating B & perhaps C ( idk i cant see the last one )
Answer:
Given: Line p is parallel to line r.
Alternate exterior angles states that two angles in the exterior of the parallel lines, and on opposite sides of the transversal.
Alternate exterior angles are non-adjacent and congruent.
[ Alternate exterior angles]
Since, Angles are congruent if they have the same angle measure in degrees
....[1] [by definition of congruent Angles]
Linear pair states that a pair of adjacent angles formed when two lines intersect.
therefore, by definition 
and 
forms a linear pair.
Since, linear pair are always supplementary.
is supplementary to
Supplementary angles states that two angles are supplementary that means they add up to measure 180 degree.
Substitute the equation [1] in above equation we get;
then, by the definition of supplementary angle ;
is supplementary to 
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.
