Anika buys a pair of shin guards for $8.58 and several pairs of soccer socks for $4.29 per pair. If she spends $25.74 before tax

We recognize that two angles, ∠UVW and ∠XYZ, are complementary, which means their sum is 90°.

Their measures are given as:

∠UVW = x - 10

∠XYZ = 4x - 10

Adding these, we have:

(x - 10) + (4x - 10) = 90

Simplifying:

5x - 20 = 90

Adding 20 to both sides:

5x = 110

Dividing by 5:

x = 22

Substituting back:

∠UVW = 22 - 10 = 12°

∠XYZ = 4(22) - 10 = 78°

Therefore, the values are:

x = 22°

∠UVW = 12°

∠XYZ = 78°

Short Answer: Current speed = 3 miles per hour. Given details for downstream distance of 4.48 miles at time 0.32 hours and upstream distance of the same 4.48 miles taking 0.56 hours. Using the equation d = r*t, we equate distances for both directions leading to a function in terms of the current speed. With each correction to solve ultimately yields the current speed as 3 mph.

<span>Which formula can be applied to find the side length of the rhombus?

 The correct answer is the first choice: 10/Cos(30°)

 Explanation:

 1. The figure shows a right triangle, where the hypotenuse is denoted by "x," and this is the length you are solving for. Therefore, you have:

 Cos(</span>α)=Adjacent side/Hypotenuse
<span>
 </span>α=30°
<span> Adjacent side=(20 in)/2=10 in
 Hypotenuse=x

 2. Inputting these numbers into the equation yields:
</span>
 Cos(α)=Adjacent side/Hypotenuse
<span> Cos(30°)=10/x

 3. Hence, by isolating the hypotenuse "x," you arrive at the expression to find the side length of the rhombus, as shown below:

 x=10/Cos(30°)
</span>

Esto no puede ser correcto ya que si hay 60 coches, eso implica 240 ruedas de coches, y 25 bicicletas significan 50 ruedas de bicicletas, lo que suma un total de 290 ruedas. Si hubiera 1 coche adicional, habría 86 vehículos y 294 ruedas, o si se agregaran 2 bicicletas más, eso resultaría en 87 vehículos y 294 ruedas.

Answer:

$858.

Detailed explanation:

The monthly rent for the 3-bedroom apartment is $936 under normal circumstances.

The landlord now provides one month free as part of a 12-month tenancy. Signing the lease means paying rent for only 11 months. Therefore, the total annual rent after applying this deal is:

To find the adjusted monthly payment, divide the total amount $10,296 by 12 months.

Hence, the revised monthly rent comes out to be $858.