I'm pretty sure 4.82 as a simplified fraction is 241/50.
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.
Answer:
The equation representing pounds of apples will has left
.
Will has left with 7 pounds of apples.
Step-by-step explanation:
Given:
Total pounds of apple = 20 pounds.
Pounds of apple used for apple sauce = 4 pounds
Pounds of apple used for apple butter = 6 pounds
Pounds of apple used for making juice = 3 pounds
We need to write the equation to represent pounds of apples will has left.
Solution:
Let us assume pounds of apples will has left be 'x'.
So we can say that;
pounds of apples will has left can be calculated by subtracting Pounds of apple used for apple sauce and Pounds of apple used for apple butter and Pounds of apple used for making juice from Total pounds of apple.
framing in equation form we get;

Hence The equation representing pounds of apples will has left
.
On Solving the above equation we get;

Hence Will has left with 7 pounds of apples.
Answer:
1.)5508 2.)5600 x^2
Step-by-step explanation: