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MrRa [10]
4 years ago
12

The figure below shows parallel lines cut by a transversal:

Mathematics
1 answer:
Vlada [557]4 years ago
6 0
Answer

<span>∠1 and ∠2 are congruent because they are a pair of alternate interior angles.

Hope it helps</span>
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Lisa collects rainwater in a barrel that weighs 25 pounds. When there are 10 gallons of water in the barrel, the total weight of
Zinaida [17]

Answer:

The equation that matches this situation is y = 8.34x + 25 ⇒ B

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

  • m is the slope (rate of change)
  • b is the y-intercept (initial value)

The rule of the slope is m = Δy/Δx, where

  • Δy is the change of y
  • Δx is the change of x

∵ Lisa collects rainwater in a barrel that weighs 25 pounds

∴ The initial value of the weight is 25 pounds

∴ b = 25

∵ When there are 10 gallons of water in the barrel, the total weight

  of the barrel and the water is 108.4 pounds

∴ At x = 10, y = 108.4

∵ When there are 20 gallons of water, the total weight is 191.8 pounds

∴ At x = 20, y = 191.8

→ Find Δx and Δy

∵ Δx = 20 - 10 = 10

∵ Δy = 191.8 - 108.4 = 83.4

→ Substitute them in the rule of the slope above

∴ m = \frac{83.4}{10}

∴ m = 8.34

→ Substitute the values of m and b in the form of the equation above

∵ y = 8.34x + 25

∴ The equation that matches this situation is y = 8.34x + 25

6 0
3 years ago
What is the equation of the line in slope-intercept form?
xxMikexx [17]
The equation for this line in slope-intercept form is, y=3/5x+3 since 3 is the y-intercept and 3/5 is the slope. If you have any questions about this or anything else let me know! :)
4 0
3 years ago
0.5 ft
algol13

Answer:

Huh I don’t understand this one but I got you

Step-by-step explanation:

5 0
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Answer:

Step-by-step explanation:

the bearing of A from B is 065º. ... A boat sails from a

3 0
3 years ago
Find the value of x
valina [46]
X = 180 - 65
x = 115
-----------------------
4 0
4 years ago
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