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2 years ago

AABC is similar to AADE. Enter the congruence statements that must be true.

Mathematics

1 answer:

yanalaym [24]2 years ago

7 0

Answer:

A is congruent to A, B is congruent to D, and C is congruent to E

Step-by-step explanation:

If ABC is congruent to ADE, then that means both triangles angles are congruent in the order they are given in.

(Hopefully you can comprehend what I just explained lol-)

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Select the correct answer.<br> Which graph shows a function and its inverse?

Anna007 [38]

I think it’s C because inverses are basically the reciprocals of each other. These make 90 degree angles and the slopes product should be -1. C looks like the lines are perpendicular so I would go with that

8 0

3 years ago

A student who is trying to write a paper for a course has a choice of two topics, A and B. If topic A is chosen, the student wil

algol13

Answer:

P(Topic A) = 0.91

P(Topic B) = 0.9163

The student should choose Topic B to maximize the probability of writing a good paper because P(Topic B)>P(Topic A).

Step-by-step explanation:

If Topic A is chosen, 2 books will be ordered (n=2)

If topic B is chosen, 4 books will be ordered (n=4)

Probability that a book arrives in time (p) = 0.7

Probability that a book does not arrive in time (q) = 1 - p = 1 - 0.7 = 0.3

We will <u>use the binomial distribution</u> to find out which topic should the student choose to maximize the probability of writing a good paper. The binomial distribution formula is:

P(X=x) = ⁿCˣ pˣ qⁿ⁻ˣ

where p = probability of success

q = probability of failure

n = total no. of trials

x = no. of successful trials

For Topic A, n = 2, p=0.7 and q=0.3. If topic A is chosen, the student will use at least half the books i.e. he will use either 1 or 2 books. So,

P(Topic A) = P(X=1) + P(X=2)

=²C₁ (0.7)¹(0.3)²⁻¹ + ²C₂ (0.7)²(0.3)²⁻²

= 0.42 + 0.49

P(Topic A) = 0.91

For topic B, n=4, p=0.7 and q=0.3. If topic B is chosen, the student will choose 2 or more books i.e. 2, 3 or 4 books.

P(Topic B) = P(X=2) + P(X=3) + P(X=4)

= ⁴C₂ (0.7)²(0.3)⁴⁻² + ⁴C₃ (0.7)³(0.3)⁴⁻³ + ⁴C₄ (0.7)⁴(0.3)⁴⁻⁴

= 0.2646 + 0.4116 + 0.2401

P(Topic B) = 0.9163

The student should choose Topic B to maximize the probability of writing a good paper because P(Topic B)>P(Topic A) as calculated above.

3 0

3 years ago

Write the equation of the line that passes through 7, 0 and is parallel to y = -3x + 4

Mazyrski [523]

Answer:

y = - 3x + 21

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 3x + 4 ← is in slope- intercept form

with slope m = - 3

Parallel lines have equal slopes , then

y = - 3x + c ← is the partial equation

To find c substitute (7, 0 ) into the partial equation

0 = - 21 + c ⇒ c = 0 + 21 = 21

y = - 3x + 21 ← equation of parallel line

8 0

3 years ago

Mohammad would like to graph the line that represents the total number of baseball cards he will

Marina CMI [18]

Answer:

To best show this information, the scale for the T-axis of his graph should go from 0 to at least 60.

To best show this information, the scale for the m-axis of his graph should go from 0 to at least 12.

Step-by-step explanation:

Mohammad will have collected T cards after m months, given that he buys 5 cards each month and he started with no cards.

The relationship describing this situation is

$T=5m$

When $m=6,$ then $T=5\cdot 6=30$ cards.

When $m=12,$ then $T=5\cdot 12=60$ cards.

To best show this information, the scale for the T-axis of his graph should go from 0 to at least 60.

To best show this information, the scale for the m-axis of his graph should go from 0 to at least 12.

4 0

3 years ago

Which coordinate divides the directed line segment from -10 At J to23 at K in the ratio of 2 to 1

CaHeK987 [17]

Answer:

What are the options?

5 0

3 years ago