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kvasek [131]
3 years ago
15

Please use the image below in order to find out the answer to the following question:

Mathematics
1 answer:
vesna_86 [32]3 years ago
7 0

<u>Given</u>:

The measure of ∠EGF is 51°

We need to determine the measure of ∠EHF

<u>Measure of ∠EHF:</u>

By inscribed angle theorem, we know that, "if two inscribed angles of a circle intercept the same arc then the angles are congruent".

Applying the theorem, we have that the two inscribed angles of a circle intercepting the same arc are ∠G and ∠H

Then, the two angles are congruent.

Thus, we have;

∠G ≅ ∠H

Therefore, the measure of ∠G = ∠H = 51°

Hence, the measure of ∠EHF = 51°

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3. Given AB with coordinates A(-4,5) and B(12,13). Find the horizontal distance and the vertical
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The required distance would be 17.88 units coordinates A(-4,5) and B(12,13) and the horizontal distance is 16 units and the vertical distance is 8 units from A to B which are determined by the graphing method.

<h3>What is the distance between two points?</h3>

The distance between two points is defined as the length of the line segment between two places representing their distance.

Given AB with coordinates A(-4,5) and B(12,13).

The formula of the distance between two points is A(x₁, y₁) and B(x₂, y₂) is given by: d (A, B) = √ (x₂ – x₁)² + (y₂ – y₁) ².

x₁ = -4, y₁ = 5

x₂ = 12, y₂ = 13

distance = √ (12 – (-4))² + (13 – 5)²

distance = √ (12 + 4)² + (8)²

distance = √ (16)² + (8)²

distance = √ (256 + 64)

distance = √320

distance = 17.88 units

The horizontal distance is 16 units and the vertical distance is 8 units from A to B which are determined by the graphing method.

Learn more about the distance between two points here:

brainly.com/question/15958176

#SPJ1

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