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babymother [125]
3 years ago
14

One side of a kite is 5 cm less than 2 times the length of another. If the perimeter is 14 cm, find the length of each side of t

he kite.
A) 5 cm, 5 cm

B) 4.2 cm, 3.4 cm

C) 6.3 cm, 7.7 cm

D) 4 cm, 3 cm
Mathematics
1 answer:
Phoenix [80]3 years ago
7 0
<h3>Answer:</h3>

D) 4 cm, 3 cm

<h3>Step-by-step explanation:</h3>

Let x represent the length of "another" side. Then "one side" can be represented by (2x -5 cm).

The perimeter of the kite is the sum of two sides of each length:

... P = 14 cm = 2(x) + 2(2x -5 cm)

Dividing by 2 and collecting terms, we have ...

... 7 cm = 3x -5 cm

... 12 cm = 3x

... 4 cm = x . . . . the length of "another" side

... 2(4 cm) -5 cm = 3 cm . . . . the length of "one side"

The two different side lengths are 4 cm and 3 cm.

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The pie chart shows information about voters in an election. 2800 more women vote than men. Work out the total number of voters.
Dmitry [639]
The picture in the attached figure

let
x--------> men voters
y-------> women voters

we know that
y=x+2800------> y-x=2800------> equation 1

step 1
find the percentage of women and men voters
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central angle by men voters=130°
central angle by women voters=(360°-130°)-------> 230°
by using proportion
men voters
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women voters
\frac{360}{100} = \frac{230}{F} \\ F=(100*230)/360 \\ F=63.89%

remember equation 1
y-x=2800
so
F-M=63.89%-36.11%----> 27.78%

if 27.78% correspond to 2800 voters
100%---------------------->T
T=100*2800/27.78-------> T=10,079.19 voters

the answer is
about 10,079 voters

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