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777dan777 [17]
3 years ago
7

3.

Mathematics
1 answer:
xeze [42]3 years ago
3 0

Answer:

d

Step-by-step explanation:

always d

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70 points! Mhanifa please help I don’t want to get this wrong :( thanks! Random answers will be reported !!
frozen [14]

Answer:

<u>Congruent pairs of triangles:</u>

ΔABD ≅ ΔDCB

  • AB≅CD - given
  • ∠ABD ≅ ∠CDB - given
  • BD≅DB - common side
  • SAS - two sides and the included angle

ΔABD ≅ ΔEFD - SAS

  • AB≅EF - given
  • ∠ABD ≅ ∠EFD - given
  • ∠ADB ≅ ∠EDF - vertical angles
  • AAS - two angles and non-included side

<u>By using the above two we can state that:</u>

ΔBDC ≅ ΔDFE - by ASA or SSS

because

  • BD ≅ DF (corresponding parts)  
  • AD ≅ BC  (corresponding parts)
  • AD ≅ ED  (corresponding parts)
  • and  therefore BC ≅ ED

<u>We can't prove that:</u>

  • ΔAGD is congruent with any of the others as not enough information

There is one side and one angle and we can' t get two angles or two sides with included angle. Maximum we can get is SSA which doesn't guarantee the congruence.

7 0
3 years ago
Lisa is skateboarding at a speed of three miles
Elena L [17]

Answer:

4mph change

Step-by-step explanation:

8 0
3 years ago
The ratio AB to CB is
sertanlavr [38]

Answer:

1/3

Step-by-step explanation:

The ratio of AB to CB

AB/CB

3/9

Simplifying by dividing the top and bottom by 3

1/3


3 0
4 years ago
In a certain card game, only the thirteen cards that are Hearts are used, and each player is dealt a hand of just two cards. How
yuradex [85]

Solution :

It is given that only 13 cards that are Hearts that is used in a certain game.

And 2 hearts to each of the 3 players.

Therefore, the number of ways is

= $^{13} C_2 \times ^{11} C_2 \times ^{9} C_2$

$= \frac{13 !}{11 ! \times 2!} \times \frac{11 !}{9 ! \times 2!} \times \frac{9 !}{7 ! \times 2!}  $

$=\frac{13 !}{7! \times 2! \times 2! \times 2!}$

= 120 number of ways

8 0
3 years ago
At a factory, a machine puts tops on bottles at a rate of 90 bottles per minute. How many tops can be put on bottles between 10:
Mrac [35]

Answer:

  • 24300

Step-by-step explanation:

<u>Rate:</u>

  • 90 tops/min

<u>Time:</u>

  • 2:30 PM - 10:00 AM = 14:30 - 10:00 = 4:30 hours
  • 4:30 hours = 4*60 + 30 min = 270 min

<u>Number of tops can be put in 270 min:</u>

  • 270*90 = 24300
5 0
3 years ago
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