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2 years ago

Rowena is proving that AD ≅ EB. Which statement does the ♣ represent in her proof?

Mathematics

1 answer:

zepelin [54]2 years ago

7 0

Using the ASA congruence theorem, the missing statement in her proof is: A. ΔACD ≅ ΔECB.

<h3>What is the ASA Congruence Theorem?</h3>

Two triangles are congruent by the ASA congruence theorem if they have two pairs of corresponding congruent angles and a pair of included congruent sides.

In the proof given in the diagram, using the ASA congruence theorem, Rowena has been able to prove that ΔACD and ΔECB have two pairs of corresponding congruent angles and a pair of included congruent sides.

Therefore, the missing statement in her proof is: A. ΔACD ≅ ΔECB.

Learn more about the ASA congruence theorem on:

brainly.com/question/2102943

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Solve 22 = - 3d + 1. Show your steps.

sattari [20]

22 - 1 = -3d
21= -3d
21/-3= d
-7 = d

Bring the 1 to the other side by doing the opposite sign, so subtract 1. Solve the left side.

Bring the 3 to the other side by doing the opposite sign, so divide 21 by -3.

End with D equaling -7

4 0

3 years ago

Read 2 more answers

Rackham Graduate School has 8,000 students (5,000 PhD students and 3,000 masters stu- dents). The Rackham Student Government Exe

Free_Kalibri [48]

Answer:

a) 8,000!/(8000 - 4)! ways

b) 15,000,000 + 7998!/(7998 - 2)! ways

c) 5,000 + 7,999!/(7,999- 3)! ways

d) 3,000 + 7,999!/(7,999- 3)! ways

Step-by-step explanation:

The number of students at Rackham Graduate School = 8,000 students

The number of PhD students = 5,000

The number of masters students = 3,000

The number of student members of the Rackham Student Government Executive Board = 4 students

a) The number of ways there are to choose the Exec Board from all Rackham students = The number of ways to choose 4 students from 8,000 = 8,000!/(8000 - 4)!

b) The number of ways of having one Master student in the board = 3,000 ways

The number of ways of having one PhD student in the board after selecting a masters student = 5,000 ways

The number of ways of selecting the remaining 2 members =

7998!/(7998 - 2)!

The total number of ways of selecting at least one masters and one PhD in the board is therefore equal to 5,000 × 3,000 + 7998!/(7998 - 2)! ways

c) The number of ways of choosing the VP position as PhD = 5,000 ways

The number of ways of choosing the other three members = 7,999!/(8000 - 3)!

Therefore, the total number of ways = 5,000 + 7,999!/(7,999- 3)! ways

d) The number of ways of choosing a masters student as the VP position = 3,000 ways

The number of ways of choosing the other three members = 7,999!/(8000 - 3)!

Therefore, the total number of ways = 3,000 + 7,999!/(7,999- 3)! ways

8 0

3 years ago

Starting at home, Emily traveled uphill to the hardware store for 60 minutes at just 6 mph. She then traveled back home along th

o-na [289]

What is the middle of 6 and 12- 6, 7, 8, 9, 10, 11, or 12?

7 0

3 years ago

Read 2 more answers

Divide 28 cans of soda into two groups so the ratio is 3 to 4.

shtirl [24]

28 cans of soda into 2 groups in which the ratio is 3:4

3 x 4 = 12
4 x 4 = 16
12 + 16 = 28

you will put 12 cans in one group and 16 cans in another group

hope this helps

7 0

4 years ago

Nuts.com sells raw almonds for $10 per pound and roasted pistachios for $12 per pound. Christopher spends $70, before taxes and

sp2606 [1]

Christopher purchased 2.8 pounds of almonds and 3.5 pounds to roasted pistachios.

Step-by-step explanation:

Cost of almonds per pound = $10

Cost of roasted pistachios = $12

Total amount spent = $70

Weight of nuts = 6.3

Let,

Weight of almonds = x

Weight of roasted pistachios = y

According to given statement;

x+y=6.3 Eqn 1

10x+12y=70 Eqn 2

Multiplying Eqn 1 by 10

$10(x+y=6.3)\\10+10y=63\ \ \ Eqn\ 3$

Subtracting Eqn 3 from Eqn 2;

$(10x+12y)-(10x+10y)=70-63\\10x+12y-10x-10y=7\\2y=7$

Dividing both sides by 2

$\frac{2y}{2}=\frac{7}{2}\\y=3.5$

Putting y=3.5 in Eqn 1

$x+3.5=6.3\\x=6.3-3.5\\x=2.8$

Christopher purchased 2.8 pounds of almonds and 3.5 pounds to roasted pistachios.

Keywords: linear equations, elimination method

Learn more about elimination method at:

#LearnwithBrainly

8 0

3 years ago