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3 years ago

The length of a rectangle is 9 centimeters more than half

Mathematics

1 answer:

Sedaia [141]3 years ago

4 0

Answer:

l = 16 cm

Step-by-step explanation:

Let's set the width of the rectangle as "w" and the length of the rectangle as "w/2 + 9".

The perimeter of a rectangle is calculated by adding up the value of all of its side lengths. Therefore, we can find the perimeter using 2l + 2w = P.

We can substitute 60 for P and w/2 + 9 for l.

2(w/2 + 9) + 2w = 60
2w/2 + 18 + 2w = 60
w + 18 + 2w = 60
3w + 18 = 60
3w = 42
w = 14

Substitute w = 14 into the equation for length l.

l = w/2 + 9
l = 14/2 + 9
l = 16

The length of the rectangle is 16 cm.

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Bogdan [553]

The measure of the ∠LQP is 120°

Step-by-step explanation:

The diagram of the question is as attached in the image.

LMNP is a square. We know that for a square all sides are equal and intersects at 90°

Hence, LM=MP=PN=LN

and ∠LMP= ∠MPN= ∠PNL= ∠NLM= 90°

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We know that for equilateral triangle all sides are equal and all angles are 60°

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∠LQP= ∠LQM+ ∠MQP eq 1

In Δ MPQ

∠QPM=90° and ∠PMQ= 90°-60°=30°

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4 years ago

Parallelogram ABCD is a rectangle.

Ugo [173]

The correct answer is y = 11

because:
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3 years ago

Which graph represents f(x)=

Leona [35]

Answer:

Step-by-step explanation:

There are 3 graphs

Graph B:

f(x) = 9, -5<x<5

Symmetrical about x =0

To the right of x = 5, Passes through (5,9) and (15,30)

Use two point formula

y-9/(30-9) = x-5/(15-5) or 21(x-5) = 10(y-9)

21(x-5) = 10(y-9)

because of symmetry about x =0, we get

equation as

f(x) = 2.1(x-5|)+90, for |x|>5

=9, for |x|<5

Graph C is symmetric about x =-5

Hence the equation has an |x+5| in it

Because both sides straight line, right line passes through (-5,0) and (0,5) and hence right equation is x/-5 +y/5 =1

Or x-y = -5

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Left side line is y = -x-5

Put together y = f(x) = |x+5| for graph C

iii) GraphD:

Graph D has 3 different lines. Between 4 and t f(x) = 1

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Using two point formula, y-3/(1-3) = x-3/(4-3)

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Step-by-step explanation:

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