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ozzi
3 years ago
14

The length of a rectangle is 5 ft longer than its width.

Mathematics
1 answer:
murzikaleks [220]3 years ago
8 0

Answer:

50 ft²

Step-by-step explanation:

If W is the width and L is the length, then:

L = W + 5

2L + 2W = 30

Solve the system of equations with substitution or elimination.  Using substitution:

2(W + 5) + 2W = 30

2W + 10 + 2W = 30

4W = 20

W = 5

L = 10

The area of the rectangle is:

A = LW

A = 50 ft²

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Elenna [48]
Multiply 12 by 37%.
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4 0
3 years ago
Simplify the expression.<br> 2u + 8u - 5u
MAXImum [283]

Answer:

= 5u

Step-by-step explanation:

You combine like terms

( 2u+ 8u = 10u )

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3 0
3 years ago
=
svet-max [94.6K]

Answer:

The polygon has 9 sides

Step-by-step explanation:

we know that

A regular polygon has equal length sides and equal interior angles

step 1

Find the measure of the interior angle

Remember that

The interior angle plus the exterior angle must be equal to 180 degrees (form a linear pair)

Let

x ----> the measure of each interior angle in the regular polygon

so

x+40^o=180^o

solve for x

x=180^o-40^o=140^o

step 2

Find the number of sides of the regular polygon

we know that

The measure of each interior angle in a regular polygon is given by the formula

x=\frac{(n-2)180^o}{n}

where

n is the number of sides of the polygon

substitute the given values

140^o=\frac{(n-2)180^o}{n}

solve for n

140n=180n-360\\180n-140n=360\\40n=360\\n=9\ sides

therefore

The polygon has 9 sides

8 0
3 years ago
Can someone please help me ASAP​
konstantin123 [22]

Answer:

x = 50

Step-by-step explanation:

Since MNP is a tangent to the circle at N, then

∠ ONP = 90° , so

∠ ONL = 90° - 55° = 35°

OL = ON ( both radii of the circle )

Thus Δ ONL is isosceles and the base angles are congruent

∠ OLN = ∠ ONL = 35°

JKLN is a cyclic quadrilateral whose opposite angles are supplementary, that is

∠KJN + ∠ KLN = 180 , substitute values

95 + 35 + x = 180

130 + x = 180 ( subtract 130 from both sides )

x = 50

4 0
3 years ago
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Answer:. .. ..

Step-by-step explanation:

7 0
3 years ago
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