It says Name the angle IN the scaled copy that corresponds to angle ABC

The graph of a relation must pass the vertical line test. True or false

ozzi

Answer:

The graph of a relation must pass the vertical line test.

True

5 0

3 years ago

Read 2 more answers

The measure of an angle is twenty-four times the measure of its complementary angle. What is the measure of each angle?

Bogdan [553]

Answer:

Step-by-step explanation:

24x - measure of an angle

x - the measure of a complementary angle

Complementary angles adds to 90°

x + 24x = 90°

25x = 90°

x = 90°÷25

x = 3.6°

24x = 24·3.6° = 86.4°

7 0

3 years ago

The lifespan of a lion in a particular zoo are normally distributed. The average lion lives 12.5 years the. Standard deviation i

Anika [276]

Answer:

0.1585

Step-by-step explanation:

Solution:-

The lifespan of a lion in a particular zoo is normally distributed with average lion lives:

Mean u = 12.5 years

Standard deviation s = 2.4 years

We are to use the empirical rule ( 68-95-99.7% ) to estimate the probability of a lion living between 5.3 and 10.1.

- The empirical rule ( 68-95-99.7% ) states:

P ( u - s < X < u + s ) = 68%

P ( u - 2s < X < u + 2s ) = 95%

P ( u - 3s < X < u + 3s ) = 99.7%

- The test have the following number of standard deviations (s):

u - s < X < u + s = 12.5 - 2.4 < X < 12.5 + 2.4 = 10.1 < X < 14.9

u - 2s < X < u + 2s = 12.5 - 4.8 < X < 12.5 + 4.8 = 7.7 < X < 17.3

u - 3s < X < u + 3s = 12.5 - 7.2 < X < 12.5 + 7.2 = 5.3 < X < 19.7

Hence,

P ( 10.1 < X < 14.9 ) = 0.68

P ( 7.7 < X < 17.3 ) = 0.95

P ( 5.3 < X < 19.7 ) = 0.997

- We need P ( X < 10.1 ) and P ( X < 5.3 ):

P ( X < 10.1 ) = [ 1 - P ( 10.1 < X < 14.9 ) ] / 2

= [ 1 - 0.68 ] / 2

= 0.16

P ( X < 5.3 ) = [ 1 - P ( 5.3 < X < 19.7 ) ] / 2

= [ 1 - 0.997 ] / 2

= 0.0015

Hence,

P ( 5.3 < X < 10.1 ) = P ( X < 10.1 ) - P ( X < 5.3 )

= 0.16 - 0.0015

= 0.1585

5 0

3 years ago

Need some help with number word problems, tysm if you do :)

lord [1]

Answer:

Read below

Step-by-step explanation:

x is always the smaller number

y is always the larger number

underlined means it's the question

bolded means it's the answer

1.

One number is 6 times as large as another. Their sum is 42. Find the numbers.

The numbers need to fit the criteria:

6x=y
x+y=42

A. 6+36=42 (correct)

B. 7+42=49 (incorrect)

C. 7+35=42 (incorrect because it doesn't follow the 1st rule)

D. 6+42=48 (incorrect)

Only A. 6, 36 fits the criteria.

2.

One number is 3 less than another. Four times the smaller is 4 more than 3 times the larger. Find the numbers.

The numbers need to fit the criteria:

x+3=y
4x-4=3y

A.

4+3=7

12-6≠21 (incorrect)

B.

7+3=10

28-3≠30 (incorrect)

C.

13+3=16

52-4=48 (correct)

D.

9+3≠13 (incorrect)

Only C. 13, 16 fits the criteria.

3.

One number is 4 less than another. Five times the smaller is 3 less than 4 times the larger. Find the numbers.

The numbers need to fit the criteria:

x+4=y
5x+3=4y

A.

13+4=17

65+3=68 (correct)

B.

-23+4= -19

-115+3≠ -76 (incorrect)

C.

17+4=21

85+3≠84 (incorrect)

D.

-11+4+ -7

-35+3≠ -33 (incorrect)

Only A. 13, 17 fits the criteria.

4.

The sum of two numbers is 23. When three times the smaller is subtracted from the larger, the result is 3. Find the numbers.

The numbers need to fit the criteria:

x+y=23
y-3x=3

A.

5+18=23

18-15=3 (correct)

B.

8+15=23

15-24≠3 (incorrect)

C.

-13+36=23

36+39≠3 (incorrect)

D.

-5+28=23

28+15≠3 (incorrect)

Only A. 5, 18 fits the criteria.

5.

The sum of two numbers is 26. When twice the smaller is subtracted from the larger, the result is 2. Find the numbers.

The numbers need to fit the criteria:

x+y=26
y-2x=2

A.

8+18=26

18-16=2 (correct)

B.

9+17=26

17-18≠2 (incorrect)

C.

7+19=26

19-14≠2 (incorrect)

D.

6+20=26

20-12≠2 (incorrect)

Only A. 8, 18 fits the criteria.

4 0

4 years ago

16. A truck traveling 45 miles per hour and a train traveling 60 miles per hour cover the same distance. The truck travels 2 hou

Snowcat [4.5K]

Answer:

A.

Step-by-step explanation:

d = rt

If t is the time taken by the train, then the truck takes t+2 hours.

For the truck:

d = 45(t + 2)

For the train:

d = 60t

Total distance travelled by both:

= 2d

= 60t + 45(t + 2)

= 60t + 45t + 90

= 105t + 90 where t is the time taken by the train.

7 0

3 years ago