The measures of two vertical angles are represented by (4x - 7) and (2x - 13). What is the sum of the two angles measures?

Mathematics

1 answer:

Sophie [7]3 years ago

3 0

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What is the distance between P(12, 4) and Q(-8, 2)

abruzzese [7]

$\huge{\boxed{2 \sqrt{101}}}$

The distance formula is $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$ , where $(x_1, y_1)$ and $(x_2, y_2)$ are the points.

Substitute in the points. $\sqrt{(2-4)^2+(-8-12)^2}$

Subtract. $\sqrt{(-2)^2+(-20)^2}$

Solve the exponents. $\sqrt{4+400}$

Add. $\sqrt{404}$

Now, we can simplify this square root just a little bit. $404$ has a square factor of $4$ . $\sqrt{404}=\sqrt{4}*\sqrt{101}$

The square root of $4$ equals $2$ . $\boxed{2 \sqrt{101}}$

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3 years ago

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Are triangles PRU and STQ congruent? Question 2 options:

denis23 [38]

PRU and STQ are not congruent because they aren’t the same size.

No, because they aren’t the same size.

<u>Step-by-step explanation:</u>

Both PRU and STQ triangles aren't in the same size, So it is not congruent. Triangles are congruent if two pairs of corresponding angles and a couple of inverse sides are equivalent in the two triangles.

If there are two sets of corresponding angles and a couple of comparing inverse sides that are not equal in measure, at that point the triangles are not congruent.

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3 years ago

List the domain and range of the relation.<br> (5,- 9), (7,7), (0, -9), (7.1) (5,9)

nalin [4]

Answer:

Domain={ 5,7,0,}

Rang=={-9,7,1,9}

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3 years ago

Geometry question please help

Licemer1 [7]

Answer: