Compare the values of the 2s and 5s in 55,220

∠1 and ∠8 are alternate exterior angles while ∠3 and ∠6 are alternate interior angles.

step-by-step explanation:

When transversal l intersects lines m and n, the angles formed outside each line on the opposite side of the transversal constitute alternate angles (like ∠1 and ∠8). In contrast, alternate interior angles appear on opposite sides but are located between the two lines (like ∠3 and ∠6).

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Keywords: Transversal, angles

The maximum distance visible on Earth is calculated using the formula

= your initial height and = your secondary height

In this case, represents the height of the periscope and denotes the height of the ship, leading us to a distance of 832.45553203368 feet. However, rounding to the nearest mile yields the answer as

If there are any discrepancies, please inform me and I will recalculate!

Answer:

86/105

Step-by-step explanation:

May possesses 4/15 meters of lace

Lovie has lace that exceeds May's by 2/7 meters

4/15 + 2/7

= 58/105

Consequently, the total amount of lace they have is calculated as

= 4/15 + 58/105

= 86/105

Thus, together they own 86/105 meters of lace

To tackle this, we can utilize ratios. For instance, 4 1/2 kg of olive oil costs $27. Therefore, the price for 1 kg of olive oil can be represented as follows: x = (27 * 1) / 4.5 which simplifies to x = 27/4.5. This calculation results in a cost of $6 per kilogram. Hope this is of assistance!

Answer:

Step-by-step explanation:

Refer to the attached digram.

The track's perimeter consists of the rectangle's perimeter plus the perimeters of the two semicircles.

The perimeter of a rectangle can be expressed as 2(x+r) where:

x is the length

2r represents the rectangle's width, equivalent to the semicircle's diameter.

The perimeter of one semicircle is calculated as 2πr/2, simplifying to πr.

Thus, the total perimeter contributed by the two semicircles is 2πr.

Therefore, the full track perimeter is expressed as 2(x+2r) + 2πr

where r indicates the semicircle's radius.

Expanding this gives us

Perimeter of the track = 2x + 4r + 2πr

which can also be represented as Perimeter of the track = 2(x + 2r + πr)

b) Given P = 2(x + 2r + πr), we need to rearrange the equation to isolate x.

P = 2x + 4r + 2πr

By subtracting 4r and 2πr from both sides, we get P - 4r - 2πr = 2x

Next, we divide each side by 2.

(P - 4r - 2πr) / 2 = 2x

Thus, x = (P - 4r - 2πr) / 2

c) Given

P = 600ft

r = 50ft

x = (600 - 4(50) - 2π(50)) / 2

x = (600 - 200 - 100(3.14)) / 2

x = 400 - 314 / 2

x = 86 / 2

x = 43ft

Therefore, rounding to the nearest foot, the value of x is 43ft