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Jet001 [13]
3 years ago
12

HELPPPP FASTTTTTT PLZZZ

Mathematics
1 answer:
Rainbow [258]3 years ago
6 0

The unknown length, x, in the smaller quadrilateral is 3 cm

<em><u>Solution:</u></em>

Given that,

<em><u>The proportion can be solved to find the unknown length , x, in the smaller quadrilateral</u></em>

<em><u>Given proportion is:</u></em>

\frac{x}{1.5} = \frac{9}{4.5}

We have to find the value of "x"

From given proportion,

\frac{x}{1.5} = \frac{9}{4.5}

Cross multiply the numerator of left side fraction with denominator of right side fraction

Multiply the numerator of right side fraction with denominator of left side fraction

Solve for x

x \times 4.5 = 9 \times 1.5\\\\4.5x = 13.5\\\\x = \frac{13.5}{4.5}\\\\x = 3

Thus unknown length, x, in the smaller quadrilateral is 3 cm

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Answer:

\boxed {\boxed {\sf d= \sqrt{34}}}

Step-by-step explanation:

We want to find the distance between two points, so the following formula is used.

d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2

Where (x₁, y₁) and (x₂, y₂) are the points we are finding the distance between.

We are given the points (-2, -1) and (3,2). If we match the corresponding value and variable we see that:

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d= \sqrt {(-2-3)^2+(2--1)^2

Solve the parentheses.

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d= \sqrt{(-5)^2+(3)^2

Solve the exponents.

  • (-5)²= -5*-5= 25
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d= \sqrt{25+9}

Add.

d= \sqrt{34}

This radical cannot be simplified, so the distance between the two points is <u>√34</u> and <u>choice 3 </u> is correct.

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