How does the Moon reflect sunlight as it orbits Earth, creating predictable cyclic patterns?

Can anyone help me understand this

bagirrra123 [75]

Answer:

(x, y) = (2, 9)

Step-by-step explanation:

For the triangles to be congruent, the hypotenuses must be the same length:

y = x + 7

and the marked leg must be the same length in each triangle:

y -3 = 4x -2

These are two equations in two unknowns (a "system" of equations) that can be solved in any of the usual ways. Since the first equation gives an expression for y, it is convenient to substitute that into the second equation:

(x +7) -3 = 4x -2

x +4 = 4x -2 . . . . . . collect terms

x +6 = 4x . . . . . . . . .add 2

6 = 3x . . . . . . . . . . . subtract x

2 = x . . . . . . . . . . . . divide by 3

y = 2 + 7 = 9 . . . . . .substitute for x in the first equation

The values you're looking for are x = 2, y = 9.

5 0

3 years ago

Jack and Walter work in a store's gift-wrapping department. Jack can wrap 28 boxes in 2 hours, while Walter takes 3 hours to wra

Fittoniya [83]

To solve this problem, we first need to find each of their hourly rates. We can do this by dividing the boxes by the number of hours. Using this method, we get that Jack wraps 14 boxes per hour and Walter wraps 12 boxes per hour. So, since the question has them working together, the rate is the sum of each of their individual rates per hour. Since we know that they work for t hours, we can multiply their combined rate by t (since in a job problem, job = time * rate). And, on the other end of the equal sign, since we know that they wrapped 65 presents, we put 65 there. The equation becomes:

(14+12)t = 65

Which simplifies to
26t = 65

3 0

3 years ago

Read 2 more answers

Find mLB round to nearest degree (sines and cosines)

Travka [436]

As long as we know line AC and the hypotenuse, we get that Angle B is 53.13010235415598, which rounded up is 53°.

53° is the answer

5 0

3 years ago

Find the unit price: Andrew bought 2 shirts for $31.00

nadya68 [22]

Answer:

they probably are 15.5 each, but there are lots of possibilities because there are two variables.

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Fred bought 4 liters of liquid laundry detergent 3,250 ml of fabric softener and 2.5 liters of bleach

Artist 52 [7]

I FOUND YOUR COMPLETE QUESTION IN OTHER SOURCES.
PLEASE SEE ATTACHED IMAGE.
For this case, the first thing we will do is take into account the following conversion of units:
1L = 1000mL
Applying the conversion we have:
liquid laundry detergent: 4L = 4000mL
Fabric softener: 3.250L = 3250mL
bleach: 2.5L = 2500mL
We now verify the options:

4a. Fred bought 75 milliliters more fabric softener than bleach. True or False
3250-2500 = 750 mL
Answer: False.

4b. Fred brought 1.75 liters more laundry detergent than bleach. True or False
4-2.5 = 1.5L
Answer: False.

4c. Fred brought 750 milliliters more fabric softener than bleach. True or False
3250-2500 = 750 mL
Answer: True.

4d. Fred brought 150 milliliters more laundry detergent than bleach. True or False
4000-2500 = 1500mL
Answer: False.

4e. Fred bought 0.75 liters more laundry detergent than fabric softener. True or False
4-3.250 = 0.75L
Answer: True.

3 0

3 years ago

How does the Moon reflect sunlight as it orbits Earth, creating predictablecyclic patterns?​

How does the Moon reflect sunlight as it orbits Earth, creating predictablecyclic patterns?