Which statement and reason can be used to complete the proof below to show that the pair of

Mathematics

1 answer:

stepladder [879]3 years ago

3 0

Answer:

A. ΔANB~ΔYNX by AA (reasons/statements 2 and 3)

Step-by-step explanation:

∠ANB=∠YNX (vertically opposite) (3)

∠ABN=∠NXY (alternate angles) (2)

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Help. Explain good for brainliest

Nimfa-mama [501]

The measure of m∠J=90°, m∠G=55° and m∠H=35°

Step-by-step explanation:

Inscribed angles subtended by a diameter are right angles. Hence angle GJH =90°

The diameter GH and chord GJ intercepts an arc with a measure of 70°.The measure of an arc of a circle is equal to the measure of the central angle that intercepts the arc. Hence angle GOJ=70°. Radius of circle GO=OJ, which means triangle GOJ is an isosceles triangle thus ∠OJG=∠OGJ =(180° -70°) /2 = 55°. m∠G=55°

m∠H = (180°-(90°+55°) ) = 180° - 145° =35°

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Angles subtended by a diameter :brainly.com/question/10345730

Keywords : measures, angles, diameter, chord, intercepts, arc

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3 years ago

A spinner is divided into 4 sections. The spinner is spun 100 times. The probability distribution shows the results.

Vitek1552 [10]

P(1≤x≤3) defined the probability that the result is between 1 and 3, included. You can answer this question in two ways:

1. Sum the probabilities of good events:

From the graph, we have

$P(x=1) = 0.32,\quad P(x=2) = 0.24,\quad P(x=3) = 0.28$

So,

$P(1\leq x \leq 3) = 0.32+0.24+0.28 = 0.84$

2. Use complementary probabilities

Asking that the result is 1, 2 or 3 is the same as asking that the result is not 4. The probability that the result is 4 is 0.16, so the probability that the result is not 4 will be

$P(x\neq 4) = 1-P(x=4) = 1-0.16=0.84$