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mezya [45]
2 years ago
11

A teetotum is a spinning top that has an equal probability of landing on each side. The expected value of one

Mathematics
1 answer:
Mashcka [7]2 years ago
7 0

Probabilities are used to determine the chances of events

The true statement is (c) the teetotum could land on the number 10

<h3>How to determine the true statement</h3>

From the question, we understand that the spinning top is divided into 12 equal segments

This means that the possible outcomes of the spin is from 1 to 12

Hence, the true statement is (c) the teetotum could land on the number 10

Read more about probabilities at:

brainly.com/question/25870256

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Triangle ABC is an isosceles right triangle inscribed in a circle. The center of the circle is point D and the diameter of the c
Paha777 [63]

Answer:

* AD is congruent to DC and BD <em>true</em>

* m∠B = 90° <em>true</em>

<u>* The measure of arc AC is equal to the measure of arc AB </u><u><em>not be true</em></u><em> ( The right answer  )</em>

* The measure of arc AB is equal to measure of arc BC <em>true</em>

Step-by-step explanation:

∵ D is the center of the circle and A , B and C are points on the circle

∴ AD , DB and DC are radii on the circle D

∴ AD ≡ DC ≡ DB

∵ AC passing through point D which is the center of the circle

∴ AC is the diameter of the circle D

∵ ∠B is opposite to the diameter of the circle and vertex B lies on the circle

∵ ∠B is an inscribed angle and  ∠ADC  is a central angle subtended by the same arc AC

∴m∠B = half m∠ADC

∵ m∠ADC = 180°

∴ m∠B = 90°

∵ The measure of arc AC = 180°

∵ ΔABC is isosceles and m∠B = 90°

∴ m∠BAC = m∠BCA = (180° - 90°) ÷ 2 = 45°

∵ ∠ACB is an inscribed angle subtended by arc AB

∴ m∠ACB = half measure of arc AB

∵ The measure of arc AB = 45° × 2 = 90°

∴ The measure of arc AC ≠ the measure of arc AB

∵ Δ ABC is an isosceles triangle and m∠B = 90°

∴ AB = BC

∵ AB subtended by arc AB

∵ BC subtended by arc BC

∴ The length of arc AB = the length of arc BC

∵ If two arcs are equal in length, then they will be equal in measure

∴ The measure of arc AB is equal to the measure of arc BC

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Select the correct answer.<br> Which graph shows the solution region of this system of inequalities?
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Since the values on both sides are different, hence graph of option C is correct.

<h3>What is inequality?</h3>

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

Solutions to inequality graphs

Inequalities are an equation that does not include only the equal sign.

The system of inequalities are;

y \geq 2(1.3)^x\\\\y\leq -x^2 + 4x + 5

The first function is an exponential function.

Since the values on both sides are different, hence graph of option C is correct.

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#SPJ1

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