13yd,x

Question

3.25yd,4.23yd
Use proportions to find the missing side length ( x ) in the two similar figures.

4 yards

16.92 yards

1.05 yards

9.99 yards

Answer 1

To find the missing side length in the two similar figures using proportions, we can set up the following proportion:

$\frac{13}{3.25} = \frac{x}{4.23}$

To solve for x, we can cross multiply:

$13 \cdot 4.23 = 3.25 \cdot x$

$54.99 = 3.25 \cdot x$

Dividing both sides by 3.25:

$x = 16.92$ yards

Therefore, the missing side length x is 16.92 yards in the given figures.

Answer 2

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

100 cm
100 cm

98 cm
98 cm

24.01 cm
24.01 cm

4 cm

Answer 3

To find the length of the larger rectangle, we can set up the following proportion:

$\frac{25}{12.25} = \frac{x}{49}$

To solve for x, we can cross multiply:

$25 \cdot 49 = 12.25 \cdot x$

$1225 = 12.25 \cdot x$

Dividing both sides by 12.25:

$x = 100$ cm

Therefore, the length of the larger rectangle is 100 cm.

Answer 4

△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

Answer 5

To find the length of RP¯¯¯¯¯¯¯¯, we can set up the following proportion:

$\frac{CD}{EC} = \frac{PQ}{RP}$

Substituting the given values:

$\frac{9}{15} = \frac{15}{RP}$

Cross multiplying:

$9 \cdot RP = 15 \cdot 15$

$9 \cdot RP = 225$

Dividing both sides by 9:

$RP = 25$ m

Therefore, the length of RP¯¯¯¯¯¯¯¯ is 25 m in the given similar triangles.

Answer 6

If △PQR∼△JKL, which statements are correct?(1 point)
Responses

∠Q≅∠L and PQ¯¯¯¯¯¯¯¯ corresponds to JK¯¯¯¯¯¯¯¯.
angle upper Q congruent to angle upper L and Modifying above upper P upper Q with bar corresponds to Modifying above upper J upper K with bar .

∠Q≅∠K and PR¯¯¯¯¯¯¯¯ corresponds to JL¯¯¯¯¯¯¯.
angle upper Q congruent to angle upper K and Modifying above upper P upper R with bar corresponds to Modifying above upper J upper L with bar .

∠P≅∠J and PQ¯¯¯¯¯¯¯¯ corresponds to JL¯¯¯¯¯¯¯.
angle upper P congruent to angle upper J and Modifying above upper P upper Q with bar corresponds to Modifying above upper J upper L with bar .

∠P≅∠J and QR¯¯¯¯¯¯¯¯ corresponds to JK¯¯¯¯¯¯¯¯.

Answer 7

The correct statement is:

∠P≅∠J and PQ¯¯¯¯¯¯¯¯ corresponds to JL¯¯¯¯¯¯¯.

This means that angle P is congruent to angle J in the similar triangles, and the corresponding sides PQ¯¯¯¯¯¯¯¯ and JL¯¯¯¯¯¯¯ have the same ratio.