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SOVA2 [1]
3 years ago
11

Is the expression x5×5×5 equivalent to (x5)3 . Why or why not? Explain your reasoning.

Mathematics
1 answer:
Firlakuza [10]3 years ago
3 0
No, it is not equivalent to (x5)3. If yoh were to put 1 as a substitute for x5; 1 × 1× 1 equals 1, as represented in x5x5x5. The thing is (1)3 equals 3, as shown in (x5)3. You can substitute x5 for any number. x5x5x5 is more like it is raised to the third power than multiplied by 3.

Hope this helps!!!
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Solve the system of equations and choose the correct ordered pair. 3x + 4y = 38 5x - 5y = -30
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8.) a round patio is 14m in diameter. What is the distance around the patio? A. 153.86m B. 21.98m C. 43.96m D. 615.44m
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So by having a circle with a diameter of 14 metres it is a sake of calculating the circumference of the patio. This is simply done by (where d = 2r, d is the diameter, and r the radius)

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An acute angle in one right triangle has the same measure as an acute angle in another right triangle. Name the theorem or postu
Stolb23 [73]

Answer:

Step-by-step explanation:

Right Triangle Similarity

Acute Angle Similarity

If one of the acute angles of a right triangle is congruent to an acute angle of another right triangle, then by Angle-Angle Similarity the triangles are similar.

In the figure, ∠M≅∠Y , since both are right angles, and ∠N≅∠Z .

So, ΔLMN∼ΔXYZ .

Leg-Leg Similarity

If the lengths of the corresponding legs of two right triangles are proportional, then by Side-Angle-Side Similarity the triangles are similar.

In the figure,  ABPQ=BCQR .

So, ΔABC∼ΔPQR .

Hypotenuse-Leg Similarity

If the lengths of the hypotenuse and a leg of a right triangle are proportional to the corresponding parts of another right triangle, then the triangles are similar. (You can prove this by using the Pythagorean Theorem to show that the third pair of sides is also proportional.)

In the figure, DFST=DESR .

So, ΔDEF∼ΔSRT .

Taking Leg-Leg Similarity and Hypotenus-Leg Similarity together, we can say that if any two sides of a right triangle are proportional to the corresponding sides of another right triangle, then the triangles are similar.

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