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3 years ago

Question 2 of 10

Mathematics

1 answer:

Gemiola [76]3 years ago

7 0

Answer:

i believe its A

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Determine the value of x in the figure shown.

garri49 [273]

Hope it will help you..............

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3 years ago

The expression 27 + 45 as a product using the GCF and distributive property.

Bogdan [553]

Answer:

(a) By Greatest Common Factor: (27 + 45 ) = 3( 9 + 15)

(b) By distributive property: (27 + 45 ) = 9(3) + 9(5)

Step-by-step explanation:

Here, the given expression is 27 + 45 .

Now, by Prime Factorization:

27 = 3 x 3 x 3

45 = 3 x 3 x 5

Here, the 3 is the ONLY prime common factor.

So, the Greatest Common Factor = 3

⇒ (27 + 45 ) = 3( 9 + 15)

Hence, by Greatest Common Factor: (27 + 45 ) = 3( 9 + 15)

Now, by distributive property:

A( B + C) = AB + AC

Here, in the given expression:

(27 + 45 ) = 9 ( 3 + 5) = 9(3) + 9(5)

or, (27 + 45 ) = 9(3) + 9(5)

Hence, by distributive property: (27 + 45 ) = 9(3) + 9(5)

5 0

4 years ago

What is 50,000 multiplied by 1/2 as a mixed number

WINSTONCH [101]

It would be 25000 no decimal or fraction 25,000.0

7 0

4 years ago

Polygon WXYZ is dilated by a scale factor of 3 with vertex W as the center of dilation, resulting in polygon W’X’Y’Z’. The coord

Lostsunrise [7]

Dilating polygon WXYZ will change the side lengths of the polygon

The true statement is <em>(b) the slope of WX is 3/4, and the length of W'X' is 15</em>

The coordinates are given as:

$\mathbf{W = (3,2)}$

$\mathbf{X = (7,5)}$

The slope of WX is:

$\mathbf{m =\frac{y_2 - y_1}{x_2 -x_1}}$

So, we have:

$\mathbf{m =\frac{5-2}{7-3}}$

$\mathbf{m =\frac{3}{4}}$

The length of WX is calculated using:

$\mathbf{WX = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}}$

So, we have:

$\mathbf{WX = \sqrt{(7- 3)^2 + (5- 2)^2}}$

$\mathbf{WX = \sqrt{25}}$

$\mathbf{WX = 5}$

The scale factor is 3.

So, the distance W'X' is:

$\mathbf{W'X' = 3 \times WX}$

This gives

$\mathbf{W'X' = 3 \times 5}$

$\mathbf{W'X' = 15}$

Hence, the true statement is (b)