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1 year ago

Which equation is made true by the opposite angles theorem?

Mathematics

1 answer:

Oksana_A [137]1 year ago

4 0

Solution

Step 1

The opposite angles of a parallelogram are equal:

Step 2

$85\text{ + y = 3y - 15}$

The equation is made true by the opposite angles theorem is

85 + y = 3y - 15

y = 50

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What is the coefficient of the term 4/3yz ?

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The coefficient is 4/3

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3 years ago

The resistance of a wire varies directly with its length and inversely with the square of its diameter. If 100 feet of wire with

DaniilM [7]

Answer:

14 ohms

Step-by-step explanation:

The resistance varies directly with length, so increasing the length by a factor will increase the resistance by the same factor.

The length of the wire increased by a factor of 1.4 from 100 ft to 140 ft. That means the resistance will increase by a factor of 1.4 from 10 ohms to 14 ohms. (The diameter did not change.)

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1 year ago

Read 2 more answers

Tell what whole number you can substitute for A in each list so the numbers are ordered from least to greatest. If there is none

hodyreva [135]

Answer: None

Step-by-step explanation:

If A=4, say for example, our list becomes: 3/4, 4/5, 75%.

This in decimal form becomes: 0.75, 0.8, 0.75 which is clearly not in ascending order.

If A =5, the list becomes 3/5, 5/5, 75% which clearly is 0.6, 1, 0.75 which is also not in ascending order.

For any value of A greater than 5, the second term A/5 is greater than 1 thus being less than the third term 0.75.

Therefore there is no whole number A that makes the list true.

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3 years ago

Geometry

Kobotan [32]

Answer: UV = 52

Concept:

Additive property of length, or the segment addition postulate, states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.

Solve:

Given information

TU = 4x

UV = 2x + 14

TV = 7x - 5

Given expression deducted from the additive property of length

TV = TU + UV

Substitute values into the expression

7x - 5 = 4x + 2x + 14

Combine like terms

7x - 5 = 6x + 14

Subtract 6x on both sides

7x - 5 - 6x = 6x + 14 - 6x

x - 5 = 14

Add 5 on both sides

x - 5 + 5 = 14 + 5

x = 19

Find UV by substituting the value of x

UV = 2x + 14 = 2 (19) + 14 = $\boxed{52}$

Hope this helps!! :)

Please let me know if you have any questions

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