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Answer:
x = 11
Step-by-step explanation:
By using angle bisector theorem,
"Bisector of an angle divides the opposite side of the angle into two segments such that they are proportional to the other two sides.
8(x - 4) = 4(x + 3)
8x - 32 = 4x + 12
8x - 4x = 32 + 12
4x = 44
x = 11
Therefore, value of x is 11.
The complete question in the attached figures
we know that
1 ft---------------> 0.083333 in
so
<span>24 inches high--------------> 24*0.083333=2 ft
</span><span>36 inches wide--------------> 36*0.083333=3 ft
</span><span>we will analyze each drawing
</span><span>
drawing a) scale 1/4 in/ 1 ft ----------> (1/4)/1=1/4
for a high of 2 ft-------------> 2*(1/4)=0.5 in
f</span>or a wide of 3 ft-------------> 3*(1/4)=0.75 in
drawing a) is not solution
drawing b) scale 1/2 in/ 1 ft ----------> (1/2)/1=1/2
for a high of 2 ft-------------> 2*(1/2)=1 in
for a wide of 3 ft-------------> 3*(1/2)=1.5 in
drawing b) is not solution
drawing c) scale 1/2 in/ 1 ft ----------> (1/2)/1=1/2
for a high of 2 ft-------------> 2*(1/2)=1 in
for a wide of 3 ft-------------> 3*(1/2)=1.5 in
drawing c) is not solution
drawing d) scale 1 in/ 1 ft ----------> (1)/1=1
for a high of 2 ft-------------> 2*(1)=2 in
for a wide of 3 ft-------------> 3*(1)=3 in
drawing d) is a solution
the answer is
The correct model of the flag is the drawing D
we know that
1 ft---------------> 0.083333 in
so
<span>24 inches high--------------> 24*0.083333=2 ft
</span><span>36 inches wide--------------> 36*0.083333=3 ft
</span><span>we will analyze each drawing
</span><span>
drawing a) scale 1/4 in/ 1 ft ----------> (1/4)/1=1/4
for a high of 2 ft-------------> 2*(1/4)=0.5 in
f</span>or a wide of 3 ft-------------> 3*(1/4)=0.75 in
drawing a) is not solution
drawing b) scale 1/2 in/ 1 ft ----------> (1/2)/1=1/2
for a high of 2 ft-------------> 2*(1/2)=1 in
for a wide of 3 ft-------------> 3*(1/2)=1.5 in
drawing b) is not solution
drawing c) scale 1/2 in/ 1 ft ----------> (1/2)/1=1/2
for a high of 2 ft-------------> 2*(1/2)=1 in
for a wide of 3 ft-------------> 3*(1/2)=1.5 in
drawing c) is not solution
drawing d) scale 1 in/ 1 ft ----------> (1)/1=1
for a high of 2 ft-------------> 2*(1)=2 in
for a wide of 3 ft-------------> 3*(1)=3 in
drawing d) is a solution
the answer is
The correct model of the flag is the drawing D