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3 years ago

Find the measures of the indicated angles in circle O. Which statement is NOT true? (The figure is not drawn to scale.)

Mathematics

1 answer:

Goshia [24]3 years ago

4 0

Answer:

c = 73

Step-by-step explanation:

We know an intercepted angle from 2 point in an arc of a circle (at the other circumference' side) is HALF of the angle measure of the arc. And if the intercepted angle is at the CENTER, its measure is SAME as the measure of the intercepted arc.

The angle 53 is given only, so we look from the 2 points in the arc of this angle. We can see that a also originates from this arc, so a is equal to 53.

B also originates from this arc, but at the center, so b = DOUBLE of 53 = 106. b = 106

b and c are supplementary (they fall in a line and thus add up to 180 degrees). So

106 + c = 180

c = 180 - 106 = 74

Looking at the answer choices, c is given as 73, which is wrong! Hence, last statement is not true.

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Choose a number from 11 to 19. Write the number and number word. Used words and pictures to show how many tens and ones.

Sladkaya [172]

12: twelve
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3 years ago

If 1st and 4tg terms of G.p are 500 and 32 respectively it's second term is ?

bixtya [17]

Answer:

$T_{2} = 200$

Step-by-step explanation:

Given

Geometry Progression

$T_1 = 500$

$T_4 = 32$

Required

Calculate the second term

First, we need to write out the formula to calculate the nth term of a GP

$T_n = ar^{n-1}$

For first term: Tn = 500 and n = 1

$500 = ar^{1-1}$

$500 = ar^{0}$

$500 = a$

$a = 500$

For fought term: Tn = 32 and n = 4

$32 = ar^{4-1}$

$32 = ar^3$

Substitute 500 for a

$32 = 500 * r^3$

Make r^3 the subject

$r^3 = \frac{32}{500}$

$r^3 = 0.064$

Take cube roots

$\sqrt[3]{r^3} = \sqrt[3]{0.064}$

$r = \sqrt[3]{0.064}$

$r = 0.4$

Using: $T_n = ar^{n-1}$

$n = 2$ $r = 0.4$ and $a = 500$

$T_{2} = 500 * 0.4^{2-1}$

$T_{2} = 500 * 0.4^1$

$T_{2} = 500 * 0.4$

$T_{2} = 200$

Hence, the second term is 200

5 0

3 years ago

Please help last question and u get 15 points

makvit [3.9K]

81.4% ≅ 81%. The probability that a customer ordered a hot drink given that he or she ordered a large is 81%.

The key to solve this problem is using the conditional probablity equation P(A|B) = P(A∩B)/P(B). Conditional probability is the probability of one event occurring with some relationship to one or more other events.

Similarly to the previous exercise, P(A∩B) is the probability that a customer order a large hot drink. So, P(A∩B) = 22/100 = 0.22

For P(B), is the probability that a customer order a large drink whether hot or cold. P(B) = 27/100 = 0.27

P(A|B) = 0.22/0.27 = 0.814

multiplying by 100%, we obtain 81.4%

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Answer:

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Step-by-step explanation:

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