Which proportion could be used to find the length of side b?

Triangle SRQ undergoes a rigid transformation that results in triangle VUT. 2 right triangles with identical side lengths and an

babunello [11817]

Answer:

The accurate statements are 2 and 3.

Step-by-step explanation:

Triangle SRQ undergoes a rigid transformation resulting in triangle VUT

Thus, ΔSRQ ≅ ΔVUT

Consequently, point S maps to point V, point R corresponds with point U, and point Q corresponds with point T.

Based on this information, let's review the statements:

1) SQ corresponds to VU. False as SQ corresponds to VT

2) ∠R corresponds to ∠U. True

3) UV corresponds to RS. True

4) ∠S corresponds to ∠T. False since ∠S corresponds to ∠V

5) QS corresponds to RS. False since QS corresponds to TV

Therefore, the true statements are 2 and 3.

2) ∠R corresponds to ∠U

3) UV corresponds to RS.

6 0

2 months ago

At a hot air ballon festival, Erica spots a red ballon due east at an angle of elevation of 36 degrees. She turns due west and s

Zina [12379]

Answer:

Step-by-step explanation:

Information provided

The eastern balloon makes an elevation angle of $36^{\circ}$ and is positioned at a height of 461 m.

The western balloon creates an elevation angle of $51^{\circ}$ and is positioned at a height of 296 m.

Considering that Erica is 1.6 m tall, the effective height of the Red balloon becomes 459.4 m,

while the effective height of the Blue balloon ends up at 294.4 m.

Utilizing trigonometric principles,

$\tan 36=\frac{459.4}{d_1}$

$\tan 51=\frac{294.4}{d_2}$

$d_1=632.30 m$

$d_2=238.4 m$

Now calculating the distance separating the two Balloons,

$d=d_1+d_2$

$d=870.70 m$

7 0

3 months ago

Marlo uses 252 lb of gravel to cover a garden plot of 36 ft2. How many pounds of gravel does it take to cover one square foot? H

babunello [11817]

The amount of gravel and the area it covers are examples of ratios.

A weight of 7 lb can cover 1 square foot, while 315 lb can cover an area of 45 square feet.

The relevant parameters are:

$252\ lb= 36ft^2$

To find the number of pounds needed for 1 square foot , perform the following calculation:

$x = 1ft^2$

Thus, we have:

$x = 1ft^2$

$252\ lb= 36ft^2$

Cross multiply

$x \times 36 = 252 \times 1$

And divide both sides by 36

$x = 7lb$

The area that 315 lb of gravel can cover is calculated as follows:

So, we have:

$315lb = y$

Cross multiply

$252\ lb= 36ft^2$

$y \times 252 = 36 \times 315$

And divide both sides by 252

$y \times 252 = 11340$

Thus, 7 lb will cover

1 square foot $y = 45$ , and 315 lb will encompass an area of

45 square feet.