1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
rewona [7]
2 years ago
13

Rectangle ABCD was dilated to create rectangle A'B'C'D. Triangle A B C D is dilated to form triangle A prime B prime C prime D.

Side B C is 3.8 units. Side A prime B prime is 15 units and side B prime C prime is 9.5 units. What is AB? 6 units 7.6 units 9.5 units 12 units
Mathematics
2 answers:
Julli [10]2 years ago
8 0

Answer:

AB = 6

Step-by-step explanation:

Given

BC = 3.8

A'B' = 15

B'C' = 9.5

Required

Determine the length of AB

Because A'B'C'D is a dilation of ABCD, then the following relationship must exist:

A'B' : AB = B'C' : BC

Substitute values for A'B', B'C' and BC

15 : AB = 9.5 : 3.8

Express the ratio as fractions:

\frac{AB}{15} = \frac{3.8}{9.5}

Multiply through by 14

15 * \frac{AB}{15} = \frac{3.8}{9.5} * 15

AB = \frac{3.8}{9.5} * 15

AB = \frac{3.8* 15}{9.5}

AB = \frac{57}{9.5}

AB = 6

fredd [130]2 years ago
7 0

Answer:

A. 6 units

Step-by-step explanation:

I got it right on edge.

You might be interested in
Are there any perpendicular lines in the letter L? i also need this now
Nana76 [90]

Answer:

wow there buddy

Step-by-step explanation:

6 0
3 years ago
I have an 80 mark math exam this tuesday and there are no study holidays in between. I have 5 chapters coming. I want to practic
IrinaK [193]

Answer:

Study all your notes and re read everything and memorize

Step-by-step explanation:

5 0
3 years ago
What's the value of x? (Hint: it's not 7) and please explain
tekilochka [14]

Hey there!

4x + 7 + 35 = 90°

4x + 42 = 90°

SUBTRACT 42 to BOTH SIDES

4x + 42 - 42 = 90 - 42

CANCEL out: 42 - 42 because it give you 0.

KEEP: 90 - 42 because it help solve for the x-value.

NEW EQUATION: 4x = 90 - 42

SIMPLIFY IT!
4x = 48°

DIVIDE 4 to BOTH SIDES

4x/4 = 48/4

CANCEL out: 4/4 because it give you 1

KEEP: 48/4 because it give you the x-value

NEW EQUATION: x = 48/4

SIMPLIFY IT!

x = 12

Therefore, your answer is: x = 12


Good luck on your assignment & enjoy your day!



~Amphitrite1040:)

8 0
2 years ago
A box contains 11 red chips and 4 blue chips. We perform the following two-step experiment: (1) First, a chip is selected at ran
Scilla [17]

Answer:

P(B1) = (11/15)

P(B2) = (4/15)

P(A) = (11/15)

P(B1|A) = (5/7)

P(B2|A) = (2/7)

Step-by-step explanation:

There are 11 red chips and 4 blue chips in a box. Two chips are selected one after the other at random and without replacement from the box.

B1 is the event that the chip removed from the box at the first step of the experiment is red.

B2 is the event that the chip removed from the box at the first step of the experiment is blue. A is the event that the chip selected from the box at the second step of the experiment is red.

Note that the probability of an event is the number of elements in that event divided by the Total number of elements in the sample space.

P(E) = n(E) ÷ n(S)

P(B1) = probability that the first chip selected is a red chip = (11/15)

P(B2) = probability that the first chip selected is a blue chip = (4/15)

P(A) = probability that the second chip selected is a red chip

P(A) = P(B1 n A) + P(B2 n A) (Since events B1 and B2 are mutually exclusive)

P(B1 n A) = (11/15) × (10/14) = (11/21)

P(B2 n A) = (4/15) × (11/14) = (22/105)

P(A) = (11/21) + (22/105) = (77/105) = (11/15)

P(B1|A) = probability that the first chip selected is a red chip given that the second chip selected is a red chip

The conditional probability, P(X|Y) is given mathematically as

P(X|Y) = P(X n Y) ÷ P(Y)

So, P(B1|A) = P(B1 n A) ÷ P(A)

P(B1 n A) = (11/15) × (10/14) = (11/21)

P(A) = (11/15)

P(B1|A) = (11/21) ÷ (11/15) = (15/21) = (5/7)

P(B2|A) = probability that the first chip selected is a blue chip given that the second chip selected is a red chip

P(B2|A) = P(B2 n A) ÷ P(A)

P(B2 n A) = (4/15) × (11/14) = (22/105)

P(A) = (11/15)

P(B2|A) = (22/105) ÷ (11/15) = (2/7)

Hope this Helps!!!

5 0
3 years ago
Instructions: Match each equations with correct type of event.
Mazyrski [523]

The question is incomplete. Below you will find the missing contents.

The correct match of events with order are,

  • P(A)P(B|A) - Dependent event
  • P(A)+P(B) - Mutually exclusive events
  • P(A and B)/P(A) - Conditional events
  • P(A) . P(B) - Independent Events
  • P(A)+P(B) -P(A and B) - not Mutually exclusive events.

When two events A and B are independent then,

P(A and B)=P(A).P(B)

when A and B are dependent events then,

P(A and B) = P(A) . P(B|A)

When two events A and B are mutually exclusive events then,

P(A and B)=0

So, P(A or B) = P(A) + P(B) - P(A and B) = P(A) + P(B)

P(A) + P(B) = P(A or B)

When events are not mutually exclusive then the general relation is,

P(A or B) = P(A) + P(B) - P(A and B)

If the probability of the event B conditioned by A is given by,

\mathrm{P(B|A)=\frac{P(A~and~B)}{P(A)}}

Hence the correct match are -

  • \mathrm{P(A)P(B|A)\rightarrow} Dependent event
  • \mathrm{P(A)+P(B)}\rightarrow Mutually exclusive events
  • \mathrm{\frac{P(A ~and ~B)}{P(A)}\rightarrow} Conditional events
  • \mathrm{P(A) . P(B)\rightarrow} Independent Events
  • \mathrm{P(A)+P(B) -P(A ~and ~B)\rightarrow} not Mutually exclusive events.

Learn more about Probability of Events here -

brainly.com/question/79654680

#SPJ10

5 0
1 year ago
Other questions:
  • A cubic foot of water weighs about 62.5 pounds. if an aquarium is 18 feet long, 10 feet deep, and 12 feet wide, what's the appro
    8·1 answer
  • Which set of ordered pairs represents a function?
    5·2 answers
  • arizona has a land area of 113998 square miles . wyoming has a land area of 97813 square miles .how much greater is the area , i
    14·2 answers
  • Write the following numbers in scientific notation 2040000
    11·2 answers
  • A guy rides his bike 2000 meters in 5 minutes how many meters does it travel in 1 minute
    9·2 answers
  • The points (2,4), (3,9), (7,8), and (6,3) form a quadrilateral. Graph the quadrilateral,
    10·2 answers
  • Person to answer gets 30 points!!!! Please set up the equation in y=__x+__ form please
    11·1 answer
  • I need help with this urgent
    13·1 answer
  • Evaluate the expression when a=-6.<br> a^2 + 5a - 5
    9·2 answers
  • Kira drove 522 miles in 9 hours.<br> At the same rate, how many miles would she drive in 7 hours?
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!