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Romashka [77]
3 years ago
6

Find x ÷ y, if x = 3 and y = 3 . Express your answer in simplest form.

Mathematics
1 answer:
lord [1]3 years ago
8 0

Answer:

1

Step-by-step explanation:

3/3=1

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If a student stands 15 m away directly west of a tree what is the trees bearing from the students​
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<u>15° E</u>

Step-by-step explanation:

With respect to the position of the student, the tree lies 15 m to the east of it. Hence, the tree's bearing from the student is : <u>15° E</u>

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The graph of g(x) = (1/2)^x is the graph of f(x) = 2^x reflected over the y-axis. Which graph represents g(x)?
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eflect across y axis means that you replace x with -x

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Step-by-step explanation:

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Since ABCD is a parallelogram, the two pairs of _________ sides (AB¯ and CD¯, as well as AD¯ and BC¯) are congruent. Then, since
Marysya12 [62]

Answer:

1. Opposite

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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.

7 0
3 years ago
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