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Leno4ka [110]
2 years ago
14

Circle o is shown below the diagram is not drawn to scale if m

Mathematics
1 answer:
Vadim26 [7]2 years ago
7 0

Answer:

∠ O = 72°

Step-by-step explanation:

the inscribed angle R is half the measure of its intercepted arc NQ , then

arc NQ = 2 × 36° = 72°

the central angle O is equal to the measure of the arc that subtends it , so

∠ O = arc NQ = 72°

You might be interested in
F(x)=x^2-3x-2 is shifted 4 units left. The results is g(x). What is g(x)?
marusya05 [52]

Answer:

B. g(x)=(x+4)^2-3(x+4)-2

Step-by-step explanation:

The given function is

f(x)=x^2-3x-2

If f(x) is shifted to the left 4 units and the result is g(x).

Then;

g(x)=f(x+4)

We substitute (x+4) into f(x)=x^2-3x-2 to find the g(x).

g(x)=(x+4)^2-3(x+4)-2

The correct choice is B.

8 0
3 years ago
The GCF of 2 and another number is 1. Describe the other number.
Kay [80]
The other number could be any number that isn't an even number.  For instance: 1,3,5,7,9,11,13,15,17... (you get it)
8 0
2 years ago
English and American spellings are colour and color, respectively. A man staying at a Parisian hotel writes this word, and a let
photoshop1234 [79]

Answer:

The probability is 5/11

Step-by-step explanation:

Let's call V the event that the letter taken at random is a vowel.

Let's call E the event that the man is English and A to the event that the man is American.

If 40 percent of the English-speaking men at the hotel are English means P(E)=0.40 and 60 percent are Americans means P(A)=0.60

In ''color'' we have 2 vowels out of 5 letters so P(V/A)=2/5

In ''colour'' we have 3 vowels out of 6 letters so P(V/E)=3/6=1/2

P(E/V)=P(E∩ V)/P(V)

P(V)=P(V|E)P(E) +P(V|A)P(A)

P(V)=(1/2)0.40+(2/5)0.60=0.44

P(E∩V)=P(V|E)P(E)=(1/2)0.40=0.20

P(E/V)=0.20/0.44=0.45454545=5/11

3 0
3 years ago
There are 229 basketball fans who plan to go to a game. How many buses will be needed, given that each bus can hold 49 fans?
Mekhanik [1.2K]

Answer:

5

Step-by-step explanation:

you divide the number of fans(229) by the number of people the buses can hold(49)

229÷49= ~4.6

because theres a decimal, you would have to add on a extra bus. so the answer would be 5

4 0
3 years ago
Determine the vertex form of g(x) = x^2 + 2x – 1. Which graph represents g(x)?
nataly862011 [7]

Answer:

Graph D

Step-by-step explanation:

Move the constant to the opposite side of the equation and group terms that include the same variable.

g(x) + 1 = x^2 + 2x

Finish the square. Remember to keep the equation balanced by using the same constants on both sides.

g(x) + 1 + 1 = x^2 + 2x + 1

g(x) + 2 = x^2 + 2x + 1

Rewrite as perfect squares

g(x) + 2 = (x + 1)^2

Equation in vertex form:
g(x) = (x + 1)^2 - 2

The vertex:

(-1, -2)

* This a minimum *

  • <em>(Parabola open upward)</em>
3 0
2 years ago
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