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Gnom [1K]
3 years ago
12

Braelyn Is writing including to officiate rectangle with a width equal to half the length she knows the perimeter is equal to 18

units and needs to find the length and width of the rectangle
Mathematics
1 answer:
ziro4ka [17]3 years ago
4 0
Length= 6 Width= 3

the formula to find the perimeter in a rectangle is 2(L+W)=perimeter
they gave us the perimeter so we substitute is into the equation:
2(L+W)=18
substitute the W by 1/2L
u will end up with 2(L+1/2L)=18
distribute the 2 and u will get:
2L+1L=18 which is 3L=18 and L=6
we know that the width is half the length so W=1/2(6) so W=3
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            12     12
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8 0
3 years ago
What is the measure of angle 3 if the measure of
ELEN [110]

Answer:

Angle 3 = 86.8

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Angle 7 = 93.2

Step-by-step explanation:

Given :

angle 6 = 4x + 10

angle 7 = 2x + 40

=> angle 6 + angle 7 = 180° { linear pair }

=> 4x+10 +2x+40 = 180

=> 6x+50 = 180

=> 6x = 180-50

=> 6x = 130

=> x = 130/6

=> x = 21.6

so ,the measure of angle 6 = 4x + 10 = 4(21.6) +10 = 86.4+10 = 96.4

the measure of angle 7 = 2x + 40 = 2(21.6) +40 = 43.2+50 = 93.2

now angle 7 = angle 4 + angle 5

and angle 3 + angle 4 + angle 5 = 180°

so, angle 7 + angle 3 = 180

=> 93.2 + angle 3 = 180

=> angle 3 = 180 - 93.2

=> angle 3 = 86.8

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