All categories

3 years ago

Are the arcs below congruent?

Mathematics

2 answers:

Hoochie [10]3 years ago

6 0

Answer:

There is not enough information

Step-by-step explanation:

In Circle 1

Minor Arc : $\widehat{AB}=140^{\circ}$

Radius = AO=OB

In Circle 2

Minor Arc : $\widehat{GH}=140^{\circ}$

Radius =OG =OH

We need to show that the arcs are congruent .

Since the length of the radii are not given .

So, There is not enough information to prove that the arcs are congruent.

Hence Option D is true.

NikAS [45]3 years ago

5 0

Answer:

Step-by-step explanation:

You might be interested in

there are two bags containing only blue and black marbles bag a has 4 blue marbles and 6 black marbles. Bag b has 6 blue marbles

Elena L [17]

Answer

Arranged from least likely to most likely

- Event 4. choosing a yellow marble from bag B

- Event 3. choosing a blue marble from bag B

- Event 4 choosing a blue marble from bag A

Explanation

Bag A

4 blue marbles and 6 black marbles.

Bag B

6 blue marbles and 14 black marbles.

So, to arrange given cases in the order of least likely to most likely, we need to find the probabilities of each of them.

Event 1. choosing a blue or black marble from bag B

This would entail picking bag B first, then picking from either blue or black ball first. Since all the balls in the bag are either black. So, the probability is given as

Probability

= (Probability of picking one type of bag) (Probabiliy that the ball is either blue or black)

= (0.5) (1)

= 0.5

Event 2. choosing a blue marble from bag A

Probability

= (Probability of picking bag A) (Probabiliy that the ball is blue from A)

= (0.5) (4/10)

= (0.5) (0.4)

= 0.2

Event 3. choosing a blue marble from bag B

Probability

= (Probability of picking bag B) (Probabiliy that the ball is blue from B)

= (0.5) (6/20)

= (0.5) (0.3)

= 0.15

Event 4. choosing a yellow marble from bag B

Probabiliity

= ((Probability of picking bag B) (Probabiliy that the ball is yellowfrom B)

= (0.5) (0/20)

= 0.5 (0)

= 0

0 < 0.15 < 2 < 0.5

Hope this Helps!!!

6 0

1 year ago

Find the value of the expression below if I = 10.<br> z? – 2 (x + 5) =

12345 [234]

Answer:

Step-by-step explanation:

z−2(x+5)=

Use the distributive property to multiply −2 by x+5.

z−2x−10

3 0

2 years ago

A hotel costs $100 per night plus a $35 hotel fee. If George has $500, what is the maximum number of nights he could stay

zhuklara [117]

The maximum number of nights he could stay is 4 nights

3 0

2 years ago

Read 2 more answers

A golfer keeps track of his score for playing nine holes of golf (half a normal golf round). His mean score is 8080 with a sta

solniwko [45]

Answer:

Therefore the mean and standard deviation of his total score if he plays a full 18 holes are 160 and $11\sqrt2$ respectively.

Step-by-step explanation:

Given that,

For the first 9 holes X:

E(X) = 80

SD(X)=13

For the second 9 holes Y:

E(Y) = 80

SD(Y)=13

For the sum W=X+Y, the following properties holds for means , variance and standard deviation :

E(W)=E(X)+E(Y)

and

V(W)=V(X)+V(Y)

⇒SD²(W)=SD²(X)+SD²(Y) [ Variance = (standard deviation)²]

$\Rightarrow SD(W)=\sqrt{SD^2(X)+SD^2(Y)}$

∴E(W)=E(X)+E(Y) = 80 +80=160

and

∴ $SD(W)=\sqrt{SD^2(X)+SD^2(Y)}$

$=\sqrt{11^2+11^2}$

$=\sqrt{2.11^2}$

$=11\sqrt2$

Therefore the mean and standard deviation of his total score if he plays a full 18 holes are 160 and $11\sqrt2$ respectively.

4 0

3 years ago

What is the constant of variation for the following: 5y=10x?

ss7ja [257]

Y and x are the two varibles so 5 and 10 are your contants

6 0

3 years ago