Answer:
y=x-2
Step-by-step explanation:
if x: 5, x-2=3
y=x-2
therefore:
y=3
x=5
Answer:
Each student's contribution = $17
Each student will save $ 3
Step-by-step explanation:
Cost of the block of 5 tickets is $85.00.
Dividing the $ 85 by 5 would give the equal amount each would have to contribute.
$ 85/5=$ 17
Each will have to pay $ 17 to buy a block of 5 tickets for $85.00.
We can find the amount each will save by subtracting the amount to be shared by the 5 students from the amount paid by the 4 students.
They will save
$ 20-$17=
$3
Each of them will save $3 if they can get a fifth person to join them and the 5 people equally divide the price of the 5-ticket block.
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.
