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3 years ago

Consider the triangles shown. If mUTV < mUTS < mSTR, which statement is true?

Mathematics

1 answer:

Tresset [83]3 years ago

5 0

Answer:

The true statement is UV < US < SR ⇒ 1st statement

Step-by-step explanation:

"I have added screenshot of the complete question as well as the

diagram"

* Lets revise the hinge theorem

- If two sides of one triangle are congruent to two sides of another

triangle, and the measure of the included angle between these two

sides of the first triangle is greater than the measure of the included

angle of the second triangle then the length of the third side of the

first triangle is longer than the length of the third side of the second

triangle

* Lets solve the problem

- The figure has three triangles have a common vertex T

- m∠UTV < m∠UTS < m∠STR

- From the hinge theorem above

∵ The side opposite to ∠UTV is VU

∵ The side opposite to ∠UTS is US

∵ The side opposite to ∠STR is SR

∵ m∠UTV < m∠UTS < m∠STR

∴ UV < US < SR

* The true statement is UV < US < SR

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In mathematics, a ratio is a relationship between two numbers indicating how many times the first number contains the second. For example, if a bowl of fruit contains eight oranges and six lemons, then the ratio of oranges to lemons is eight to six (that is, 8:6, which is equivalent to the ratio 4:3).

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4 years ago

If g(x)=k×f(x) what is the value of k?

Olegator [25]

Answer:

k = g(x)/f(x)

Step-by-step explanation:

Unless there is more to the question, the answer is g(x) / f(x) = k

You just need to divide both sides by f(x)

Here's an example

f(x) = 20x + 40

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3 years ago

Which side lengths form a right triangle 30 POINTS!! I DONT HAVE MUCH TIME

Virty [35]

Answer:

To solve this problem, we can use Pythagorean theorem, it tells us that the square of the hypotenuse is equal to the sum of the square of the other two sides.

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5² + 12² = 25 + 144 = 169

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So the answer is B

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3 years ago

Read 2 more answers

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mario62 [17]

Answer:

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