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3 years ago

Explain the meaning of the following: A scale on a map is 1 cm to 20 mi.

1 answer:

4 0

Each centimeter on the map represents 20 miles in real life. Similarly, every twenty miles in real life would be represented as 1 centimeter on the map.

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Are these complementary or supplementary or neither

Y_Kistochka [10]

Answer:
neither
explanation:
they are vertical angles

4 0

3 years ago

Find the value of x that makes:

Svetllana [295]

Answer:

correct value of x = 5

Step-by-step explanation:

$\frac{ {( - 2)}^{4x + 2} }{ {( - 2)}^{2x} } = {( - 2)}^{12} \\ = \frac{ {( - 2)}^{4 \times 5 + 2} }{ { ( - 2)}^{2 \times 5 } } \\ = \frac{ {( - 2)}^{22} }{ { ( - 2)}^{10} } \\ = \frac{4194304}{1024} \\ = 4096 = 4096(i.e \: {( - 12)}^{12} = 4096) \\$

8 0

3 years ago

Which of the following expression is equivalent to (x+y)^2 ? There more than one correct answer.

Sedbober [7]

Answer:

B, C, E

Step-by-step explanation:

$Option A,\\x^2 + y^2$

If we were to consider expanding the expression ( x + y )^2, take a look at the procedure below;

$( x + y )^2 =\\( x + y )( x + y ) =\\x^2 + xy + yx + y^2 =\\\\x^2 + 2xy + y^2 \neq x^2 + y^2$

Thus, the first option is incorrect

$Option B,\\( y + x )^2 =\\( y + x )( y + x ) =\\y^2 + yx + xy + x^2 =\\\\x^2 + 2xy + y^2$

x^2 + 2xy + y^2 is similar to the result of the expansion of ( x + y )^2, so the second option is correct

$Option C,\\x( x + y ) + y ( x + y ) =\\( x + y )( x + y ) =\\\\( x + y )^2$

Grouping like terms, x( x + y ) + y( x + y ) = ( x + y )^2, and thus the third option is correct

$Option D,\\( x - y )^2 =\\( x - y )( x - y ) =\\x^2 - xy - yx + y^2 =\\\\x^2 - 2xy + y^2 \neq x^2 + 2xy + y^2$

As noted before, x^2 - 2xy + y^2 is not x^2 + 2xy + y^2, so the fourth option is incorrect

$Option E,\\( x + y )^2 = ( x + y )( x + y )$

And thus, Option E is correct!

8 0

3 years ago

How do I get EF in question 12

Zinaida [17]

Check the picture below.

since the arcEF is 75°, then the central angle it is in is also 75°, and the radius is of course 2.4,

$\bf \textit{arc's length}\\\\
s=\cfrac{\theta \pi r}{180}~~
\begin{cases}
r=radius\\
\theta =angle~in\\
\qquad degrees\\
------\\
r=2.4\\
\theta =75
\end{cases}\implies s=\cfrac{(75)(\pi )(2.4)}{180}\implies s=\pi$

8 0

3 years ago

Use triangles to find the sum of the interior angle measures of the polygon.

Artyom0805 [142]

Answer:

2 triangles = 2(180 degrees)

= 360 degrees

Step-by-step explanation:

6 0

3 years ago