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2 years ago

I need this for a geometry assignment........please help

Mathematics

1 answer:

anastassius [24]2 years ago

6 0

All three are similar

In ∆SUT and ∆VWX

Two sides are similar and one angle is similar

So by SSA they are similar

In ∆PRQ and rest two

All angles are.

80,80,20°

They are similar by AAA congruence

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Emily is entering a bicycle race for charity. Her mother pledges $0.20 for every 0.75 miles she bikes. If Emily bikes 15 miles,

lisov135 [29]

Answer:

24 dollars

Step-by-step explanation:

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3 years ago

1-69.

timofeeve [1]

The question above was not written properly

Complete Question

Lacey and Haley are rewriting expressions in an equivalent, simpler form.

a. Haley simplified x³⋅ x² and got

x⁵

Lacey simplified x³ + x² and got the same result! However, their teacher told them that only one simplification is correct. Who simplified correctly and how do you know?

b. Haley simplifies 3⁵⋅ 4⁵ and gets the result 12^10, but Lacey is not sure.

Is Haley correct? Be sure to justify your answer.

Answer:

a) Haley is correct, Lacey simplified wrongly.

b) Haley is incorrect

Step-by-step explanation:

a. Haley simplified x³⋅ x² and got

x⁵

Lacey simplified x³ + x² and got the same result! However, their teacher told them that only one simplification is correct. Who simplified correctly and how do you know?

For Question a, when it comes to simplifying algebraic expression that has to do with powers, there are certain rules that should be followed.

For example

x^a × x^b = x^(a + b)

For Haley, she simplified x³⋅ x² and got

x⁵

She is correct because this follows the product rule of powers or exponents above

= x³⋅ x² = x³+² = x⁵

For Lacey she is wrong because:

x³ + x² ≠ x⁵

x³ + x² when simplified as quadratic equation = x²(x + 1)

b. Haley simplifies 3⁵⋅ 4⁵ and gets the result 12^10, but Lacey is not sure.

Is Haley correct? Be sure to justify your answer.

For question b, when we have two distinct or different numbers with the same power(exponents) the rule states that:

x^a × y^a = (x × y)^a = (xy)^a

Haley is simplified wrongly. She did not apply the rule above

Haley simplified 3⁵⋅ 4⁵ = (3 × 4) ⁵+⁵

= 12^10, this is wrong.

The correct answer according to the rule =

3⁵⋅ 4⁵ = (3 × 4) ⁵ = 12⁵

Therefore,

3⁵⋅ 4⁵ ≠ 12^10

3⁵⋅ 4⁵ = 12⁵

Haley is wrong.

3 0

3 years ago

If right I’ll mark brainlest

zubka84 [21]

Answer:

154m^2

Step-by-step explanation:

I hope this helps.

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3 years ago

Explain how to do any form of dividing radicals

exis [7]

Answer:

the diagram represents the process of enlarging a rectangle using a scale factor of 3. the width of the original rectangle must be:

Step-by-step explanation:

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2 years ago

A graph titled velocity versus time has horizontal axis time (seconds) and vertical axis velocity (meters per second). A line ha

AnnyKZ [126]

Acceleration is the change in velocity with respect to the time. The acceleration of the car at segment C is -30 meter per second squared. Hence the option B is the correct option.

<h3>Given information-</h3>

Segment A runs from 0 seconds 0 meters per second to 1 seconds 30 meters per second.

Segment B runs to 3 seconds 30 meters per second.

Segment C runs to 6 seconds 10 meters per second.

Segment D runs to 7 seconds 10 meters per second.

Segment E runs to 10 seconds 20 meters per second.

<h3>Acceleration</h3>

Acceleration is the change in velocity with respect to the time. Acceleration of a vector quantity which means it has both magnitude and the direction. It can be given as,

$a=\dfrac{\Delta v}{\Delta t}$