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3 years ago

Write an expression in simplest form that represents the perimeter of the polygon

Mathematics

1 answer:

scoundrel [369]3 years ago

6 0

Answer:

Perimeter = (11x + 12)

Step-by-step explanation:

Since, perimeter of a polygon is represented by the sum of measures of all sides,

Perimeter of the given polygon = 3x + (x + 10) + 5x + (2x + 2)

By adding like terms of the expression,

Perimeter of the polygon = (3x + x + 5x + 2x) + (10 + 2)

= (11x + 12)

Therefore, expression for the perimeter is (11x + 12).

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Trapezoid MNPQ is similar to Trapezoid RSTU. What is the length of the "x" on the misside side NP ? Also, what is the length of

ivolga24 [154]

Answer:

$x = 15$

$y = 25$

Step-by-step explanation:

Given

See attachment for MNPQ and RSTU

Required

Find x and y

To solve this question, we make use of equivalent ratios of corresponding side lengths.

The ratio of corresponding sides are:

$MN : RS$

$NP : ST$

$PQ : TU$

$MQ : RU$

From the attachment, we have:

$MN : RS \to 18 : 30$

$NP : ST \to x : 25$

$PQ : TU \to 15 : y$

To solve for x, we equate $MN : RS$ and $NP : ST$

$18 : 30 = x : 25$

Express as fraction

$\frac{18 }{ 30 }= \frac{x }{ 25}$

Make x the subject

$x = 25 * \frac{18 }{ 30 }$

$x = \frac{25 * 18 }{ 30 }$

$x = \frac{450}{ 30 }$

$x = 15$

To solve for y, we equate $MN : RS$ and $PQ : TU$

$18 : 30 = 15 : y$

Express as fraction

$\frac{18 }{ 30 }= \frac{15 }{ y}$

Make y the subject

$y = 15 * \frac{30 }{ 18 }$

$y = \frac{15 *30}{ 18 }$

$y = \frac{450}{ 18 }$

$y = 25$

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3 years ago

In kilometers, the approximate distance to the earth's horizon from a point h meters above the surface can be determined by eval

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In kilometers, the approximate distance to the earth's horizon from a point h meters above the surface can be determined by evaluating the expression

$d= \sqrt{12h}$

We are given the height h of a person from surface of sea level to be 350 m and we are to find the the distance to horizon d. Using the value in above expression we get:

$d= \sqrt{12*350}=64.81$

Therefore, the approximate distance to the horizon for the person will be 64.81 km

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Sarah has spent 7 first class tickets, and 6 coach tickets that totals for 13 people that took the trip.

$1040 * 7 = $7280

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$7280 + $840 = $8120 for Sarah's total budget she spent for 7 first class tickets and 6 coach tickets for 13 people that took the trip.

Answer:
7 first class tickets.
6 coach tickets.

Hope this helps!
<em>
</em><em>~ ShadowXReaper069</em>

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3 years ago

Write an expression in simplest form that represents the perimeter of the polygon ​

Write an expression in simplest form that represents the perimeter of the polygon