All categories

2 years ago

Determine the relationship between the measure of angle ADE and the measure of arc AE by circling one of the statements below.

Mathematics

2 answers:

grin007 [14]2 years ago

6 0

Answer:

∡ADE=∪AE/2=110°/2=55°

Step-by-step explanation:

As known the value of inscribed angle = 1/2 of the arc the legs of the angle staying.

VLD [36.1K]2 years ago

5 0

Answer:

The answer c is correct.

Step-by-step explanation:

When two chords share an endpoint, the inscribed angle has half of the measure of the intercepted arc. In this example, ADE is the inscribed angle, so its measure is one half of the arc AE's measure. m<ADE= 1/2(mAE)

i hope this helped :)

You might be interested in

I have a map where indy and ft. Wayne are 3 centimeters apart. Kokomo and indy are 1.5 cm apart on the map. If i know that indy

marta [7]

Indy and kokomo will be 60 miles apart in real life.

Explanation

On the map, Indy and ft. Wayne are 3 cm apart and Kokomo and Indy are 1.5 cm apart.

So, the ratio of the distance between Indy and ft. Wayne to the distance between Kokomo and Indy will be: $3: 1.5 = 30:15= 2:1$

Now, lets assume that real distance between Indy and ft. Wayne is $2x$ cm and real distance between Kokomo and Indy is $x$ cm.

Given that, the real distance between Indy and ft. Wayne is 120 miles.

That means....

$2x= 120\\ \\ x= \frac{120}{2}=60$

So, Indy and kokomo will be 60 miles apart in real life.

3 0

2 years ago

Wanda is shopping for a pet carrier. One small carrier can hold 240 ounces. Her cat weighs 12 pounds. Can the carrier hold her c

daser333 [38]

Yes, 12 x 16 gives us the amount of ounces the cat weighs which is 192 ounces. Therefore, her cat CAN fit. 192 oz < 240 oz

4 0

2 years ago

Read 2 more answers

An automated egg carton loader has a 1% probability of cracking an egg, and a customer will complain if more than one egg per do

vaieri [72.5K]

Answer:

a) Binomial distribution B(n=12,p=0.01)

b) P=0.007

c) P=0.999924

d) P=0.366

Step-by-step explanation:

a) The distribution of cracked eggs per dozen should be a binomial distribution B(12,0.01), as it can model 12 independent events.

b) To calculate the probability of having a carton of dozen eggs with more than one cracked egg, we will first calculate the probabilities of having zero or one cracked egg.

$P(k=0)=\binom{12}{0}p^0(1-p)^{12}=1*1*0.99^{12}=1*0.886=0.886\\\\P(k=1)=\binom{12}{1}p^1(1-p)^{11}=12*0.01*0.99^{11}=12*0.01*0.895=0.107$

Then,

$P(k>1)=1-(P(k=0)+P(k=1))=1-(0.886+0.107)=1-0.993=0.007$

c) In this case, the distribution is B(1200,0.01)

$P(k=0)=\binom{1200}{0}p^0(1-p)^{12}=1*1*0.99^{1200}=1* 0.000006 = 0.000006 \\\\ P(k=1)=\binom{1200}{1}p^1(1-p)^{1199}=1200*0.01*0.99^{1199}=1200*0.01* 0.000006 \\\\P(k=1)= 0.00007\\\\\\P(k\leq1)=0.000006+0.000070=0.000076\\\\\\P(k>1)=1-P(k\leq 1)=1-0.000076=0.999924$

d) In this case, the distribution is B(100,0.01)

We can calculate this probability as the probability of having 0 cracked eggs in a batch of 100 eggs.

$P(k=0)=\binom{100}{0}p^0(1-p)^{100}=0.99^{100}=0.366$

5 0

2 years ago

Ben and Landon took turns driving on their recent 820 mile road trip. Ben averaged 60 miles per hour while landon averaged 56 mi

Furkat [3]

Landon drove for 5 hours.

Step-by-step explanation:

Given that,

Total distance of the road trip = 820 miles

Speed of Ben = 60 miles per hour

Speed of Landon = 56 miles per hour

Step 1 :

Let 'x' be the number of miles Ben drove

Let 'y' be the number of miles Landon drove

Step 2 :

The trip took them 14 hours to complete 820 miles together.

x + y = 14

60x + 56y = 820

Step 3 :

Solve the linear system x+ y= 14 and 60x+ 56y= 820

x + y = 14

x = 14 - y

Step 4 :

Substitute x= 14-y in the second equation,

60(14-y) + 56y = 820

840 - 60y + 56y = 820

Step 5 :

Keeping y terms on one side and constants on other side,

60y - 56y = 840 - 820

4y = 20

y = 20/4

y = 5

Since 'y' is the number of miles Landon drove, the time Landon drove is 5 hours.

3 0

2 years ago

The equation 1.5r + 15 = 2.25r represents the number r of movies you must rent to spend the same amount at each movie store. how

EleoNora [17]

1.5r+15=2.25r
First of all, you have to arrange the numbers according to those similar to them. So that will be;
15=2.25r-1.5r
1.5r is subtracted from 2.25r because it crossed over an equality sign to get its position close to 2.25r. And when a number crosses over an equality sign, the sign on the number chages to the opposite. 1.5r has an invisible positive sign which became negative when it crossed. Anyway;
2.25r-1.5r is the same as 2.25-1.5. And that is 0.75r
Therefore;
15=0.75r
To find out what r is, you have to divide the both sides by 0.75. This is done to remove the 0.75 close to r to finally reveal what r is. Anyway;
15/0.75=0.75r/0.75
15 divided by 0.75 is 20. And 0.75r divided by 0.75 is r. So;
20=r
r=20. So the answer is 20 movies. Hope i helped. Have a nice day.

4 0

2 years ago