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2 years ago

How would I do this?

Mathematics

2 answers:

Natali [406]2 years ago

4 0

The sum of the interior angles of a triangle is always 180º:

∠D + 122º + 32º = 180º

∠D + 154º = 180º

∠D = 180 - 154º

∠D = 26º

Oksana_A [137]2 years ago

3 0

Answer:

∠D = 26°

Step-by-step explanation:

Hint: The three interior angles of a triangle will always have a sum of 180°. A triangle cannot have an individual angle measure of 180°, because then the other two angles would not exist (180°+0°+0°). The three angles of a triangle need to combine to 180°.

The sum of the angle measures of a triangle is 180°. So, we write:

m∠D + m∠E + m∠F = 180°

m∠D + 32° + 122° = 180°

m∠D + 154° = 180°

m∠D = 26°

So, we can conclude that:

the measure of ∠D = 26°

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Does there exist 2 distinct prime numbers such that their product is a square number?

satela [25.4K]

Answer:

NO.

Step-by-step explanation:

If the 2 prime numbers are odd then the product cannot be a square number because the only factors are the original prime numbers. If one of the prime numbers is 2 then the product will be an even number , but again the only factors will be 2 and the other prime number.

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3 years ago

Which of the following correctly describes the domain of the function shown

labwork [276]

Option D:

$\{x: x \neq 1\}$ is the domain of the function.

Solution:

Given function is

$$r(x)=\frac{2 x}{x-1}$

<u>To find the domain of the function:</u>

Option A: $\{x: x \neq 0\}$

Substitute x = 0 in r(x).

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If x = 0, then r(0) = 0

So that x ≠ 0 is false.

So, $\{x: x \neq 0\}$ is not the domain of the function.

Option B: $\{x: x \neq \pm 1\}$

Substitute x = –1 in r(x).

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If x = –1, then r(–1) = 1

So that x = ± 1 is false.

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3 years ago

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3 years ago

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Answer:

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Step-by-step explanation:

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2 years ago

-5w = -24.5 what is it.

pav-90 [236]

Answer:

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Step-by-step explanation:

If you are solving for w, you want to isolate the variable. If it is easier to write it out, it would look something like this..

-5 x w = -24.5

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3 years ago