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11 days ago

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A square rotated about its center by 360º maps onto itself at: a) 1 B) 2 C) 3 D) 4 different angles of rotation. You can reflect

a square onto itself across A) 2 B) 4 C) 8 D) 16 different lines of reflection.

2 answers:

PIT_PIT [3.9K]11 days ago

4 0

Answer: A square that undergoes rotation around its center by 360º aligns with itself at D) 4 distinct angles during the process. Furthermore, a square can be reflected onto itself over B) 4 various lines.

Explanatory breakdown:

A square is a geometric shape characterized by equal-length sides and right angles ( $90^{\circ}$ ).

Thus, it is capable of being rotated around its center by $360^{\circ}$ .

It reverts to its original outline at 4 unique rotation angles ( at every $90^{\circ} angle$ ).

The square can also be reflected onto itself across 4 lines (2 through the non-parallel sides and 2 through the corners).

zzz [4K]11 days ago

3 0

Answer:

For plato, both blank one and two is four.

:)

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Yolanda invests $30,000 in an account that offers a compound interest rate of 7.9% per year. Which of the following is the corre

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To find the solution, we will utilize the compound interest formula: $A=P(1+ \frac{r}{n} )^{nt}$
where
$A$ represents the total amount after $t$ years
tex]P[/tex] indicates the original investment
$r$ signifies the interest rate expressed in decimal
$n$ shows the frequency of compounding per year
$t$ indicates the duration in years

According to our problem, the initial investment is <span>$30,000 with a duration of ten years, thus </span> $P=30000$ and $t=10$ . Interest is compounded annually, so $n=1$ . To convert the percentage interest rate into decimal, we divide it by 100%
$r= \frac{7.9}{100}$
$r=0.079$
Now, we can insert these values into our formula:
$A=P(1+ \frac{r}{n} )^{nt}$
$A=30000(1+ \frac{0.079}{1} )^{(1)(10)}$
$A=3000(1+0.079)^{10}$
Substituting $A$ with $P_{10}$ :
$P_{10}=3000(1+0.079)^{10}$

Consequently, we find that the correct answer is D. $P_{10}=3000(1+0.079)^{10}$

Finally, to determine <span>the total amount Yolanda will have after ten years, we just need to carry out the operations in our equation:
</span> $P_{10}=3000(1+0.079)^{10}$
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Lines m and n are cut by transversal l. Lines m and n are cut by transversal l. On line m where it intersects line l, 4 angles a

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∠1 and ∠8 are alternate exterior angles while ∠3 and ∠6 are alternate interior angles.

step-by-step explanation:

When transversal l intersects lines m and n, the angles formed outside each line on the opposite side of the transversal constitute alternate angles (like ∠1 and ∠8). In contrast, alternate interior angles appear on opposite sides but are located between the two lines (like ∠3 and ∠6).

Learn More

Keywords: Transversal, angles

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12 days ago

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Answer:

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Step-by-step explanation:

Given the expression

(3x² - 5)(4 + 4x²)

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Answer:

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To simplify the complex fraction, calculating the numerator and denominator individually is effective.

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Denominator:

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