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:
x = 5.142
Step-by-step explanation:
<em>2=-74+14x</em>
if you want to make x the subject (work out its value), you need to single out x
1) the first thing that we can do is get rid of the -74
2) do this by adding it on to both sides of the equation. This is called the inverse
<em>2+-74=-72 -74+14x=14x</em>
<em>-72=14x</em>
3) to get x on its own, we now need to get rid of the 14
REMEMBER:<em> 14x = 14×x</em>
4) We do the inverse by dividing both sides by 14
<em>-72÷14=-5.142..</em>.
its surprising that its not an integer
<em>5.142=x</em>
<em>x=5.142 </em>
PLEASE LET ME KNOW IF THIS IS CORRECT
The answer to that is 128.18
~Deceptiøn
Answer:
Inverse Property of Addition (Reason C)
Step-by-step explanation:
<u>Given:</u> 3(x – 4) = 33
<u>Prove: </u>x = 15
Statements Reasons
1. 3(x – 4) = 33 Given
2. 3x – 12 = 33 Distributive Property (Reason A)
3. 3x – 12 + 12 = 33 + 12 Addition Property of Equality (Reason B)
4. 3x + 0 = 45 Inverse Property of Addition (Reason C)
5. 3x = 45 Zero Addition Property (Reason D)
6. x = 15 Division Property of Equality
By two opposite rays.
The explanation is t<span>he straight </span>angle<span> is the only type of </span>angle formed by two opposite rays<span>. All other </span>angles formed by two rays<span> are less than </span>180<span> degrees. Acute </span>angles<span> are between zero and 90 degrees. A right </span>angle<span>, with one </span>ray<span> perpendicular to another, is 90 degrees.
Hope it helped! :)</span>
