Use proportions to find the missing side length ( x ) in the two similar figures.
(1 point)
Responses
9.99 yards
9.99 yards
4 yards
4 yards
16.92 yards
16.92 yards
1.05 yards
please help
To find the missing side length (x), we can set up a proportion using the corresponding sides of the two similar figures:
\( \frac{4}{9.99} = \frac{x}{16.92} \)
Cross multiply to solve for x:
\( 4 * 16.92 = 9.99 * x \)
\( 67.68 = 9.99x \)
\( \frac{67.68}{9.99} = x \)
\( x = 6.773 \)
Therefore, the missing side length (x) is approximately 6.773 yards.
13 yds what does the x mean
9.99
4
1.92
1.05
To find the missing side length (x), we can set up a proportion using the corresponding sides of the two similar figures:
\( \frac{4}{9.99} = \frac{x}{13} \)
Cross multiply to solve for x:
\( 4 * 13 = 9.99 * x \)
\( 52 = 9.99x \)
\( \frac{52}{9.99} = x \)
\( x \approx 5.205 \)
Therefore, the missing side length (x) is approximately 5.205 yards.
A rectangle has a length of 25 cm and a width of 12.25 cm. A larger, similar rectangle has width 49 cm. What is the length of the larger rectangle?(1 point)
Responses
4 cm
4 cm
24.01 cm
24.01 cm
98 cm
98 cm
100 cm
To find the length of the larger rectangle, we can set up a proportion using the corresponding sides of the two similar rectangles:
\( \frac{25}{12.25} = \frac{x}{49} \)
Where x represents the length of the larger rectangle.
Cross multiply to solve for x:
\( 25 * 49 = 12.25 * x \)
\( 1225 = 12.25x \)
\( \frac{1225}{12.25} = x \)
\( x = 100 \)
Therefore, the length of the larger rectangle is 100 cm.
△CDE∼△PQR . CD=9 m , EC=15 m , PQ=15 m . What is the length of RP¯¯¯¯¯¯¯¯ ?(1 point)
Responses
0.6 m
0.6 m
25 m
25 m
30 m
30 m
9 m
To find the length of RP, we can set up a proportion using the corresponding sides of the two similar triangles:
\( \frac{CD}{PQ} = \frac{DE}{QR} \)
Given values:
CD = 9 m
PQ = 15 m
Now we can set up the proportion:
\( \frac{9}{15} = \frac{15}{x} \)
Cross multiply to solve for x:
\( 9 * x = 15 * 15 \)
\( 9x = 225 \)
\( x = \frac{225}{9} \)
\( x = 25 \)
Therefore, the length of RP is 25 m.
Which statement represents the similarity between the two figures?
(1 point)
Responses
quadrilateral DCBA ∼ quadrilateral GEFH
quadrilateral upper D upper C upper B upper A tilde quadrilateral upper G upper E upper F upper H
quadrilateral DCBA ∼ quadrilateral HGFE
quadrilateral upper D upper C upper B upper A tilde quadrilateral upper H upper G upper F upper E
quadrilateral ABCD ∼ quadrilateral EFGH
quadrilateral upper A upper B upper C upper D tilde quadrilateral upper E upper F upper G upper H
quadrilateral ABCD ∼ quadrilateral HGFE
The correct statement that represents the similarity between the two figures is:
quadrilateral ABCD ∼ quadrilateral EFGH
quadrilateral ABCD ~ quadrilateral EFGH
This statement indicates that the quadrilateral ABCD is similar to the quadrilateral EFGH.