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joja [24]
3 years ago
9

BD is the perpendicular bisector of triangle ABC , and BD is a shared side of triangle ABD and triangle CBD . Which of the follo

wing must be congruent in order to verify that triangle ABD cong triangle CBD

Mathematics
1 answer:
mel-nik [20]3 years ago
5 0

Answer:

Option D is correct answer AD and CD are congruent

Step-by-step explanation:

because BD is bisector of AC

so AD = CD

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A coach divided his team into two groups of equal size.
DerKrebs [107]

Applying the percentages, and considering that 70% of the first group drinks at least 2 glasses of water a day, it is found that 0.725 = 72.5% of the team drinks at least 2 glasses of water a day.

The team is divided into two equal groups, hence, each represents 50%.

The <em>percentages </em>associated with drinking at least 2 glasses of water a day is:

  • 70% of 50%(first group)
  • 75% of 50%(second group)

Hence, applying the weighed percentage, the total percentage is:

T = 0.7(0.5) + 0.75(0.5) = 0.725

0.725 = 72.5% of the team drinks at least 2 glasses of water a day.

A similar problem is given at brainly.com/question/1517088

4 0
3 years ago
The sum of the first ten terms of a linear sequence is 145. the sum of the next ten term is 445. find the sum of the first four
chubhunter [2.5K]

The sum of the first four terms of the sequence is 22.

In this question,

The formula of sum of linear sequence is

S_n =\frac{n}{2}(2a+(n-1)d)

The sum of the first ten terms of a linear sequence is 145

⇒ S_{10} =\frac{10}{2}(2a+(10-1)d)

⇒ 145 = 5 (2a+9d)

⇒ \frac{145}{5} =2a+9d

⇒ 29 = 2a + 9d  ------- (1)

The sum of the next ten term is 445, so the sum of first twenty terms is

⇒ 145 + 445

⇒ S_{20} =\frac{20}{2}(2a+(20-1)d)

⇒ 590 = 10 (2a + 19d)

⇒ \frac{590}{10}=2a+19d

⇒ 59 = 2a + 19d -------- (2)

Now subtract (2) from (1),

⇒ 30 = 10d

⇒ d = \frac{30}{10}

⇒ d = 3

Substitute d in (1), we get

⇒ 29 = 2a + 9(3)

⇒ 29 = 2a + 27

⇒ 29 - 27 = 2a

⇒ 2 = 2a

⇒ a = \frac{2}{2}

⇒ a = 1

Thus, sum of first four terms is

⇒ S_4 =\frac{4}{2}(2(1)+(4-1)(3))

⇒ S_4 =2(2+(3)(3))

⇒ S₄ = 2(2+9)

⇒ S₄ = 2(11)

⇒ S₄ = 22.

Hence we can conclude that the sum of the first four terms of the sequence is 22.

Learn more about sum of sequence of n terms here

brainly.com/question/20385181

#SPJ4

6 0
1 year ago
5th grade math. Correct answer will be marked brainliest.
Marat540 [252]

Answer:

0.065

Step-by-step explanation:

64.9 / 1000 = 0.0649 --> 0.065

5 0
2 years ago
Read 2 more answers
» What is Mary's running speed in<br> miles per hour?<br> 10/2 = ?
defon
The answer is 5 because 10 divided by 2 is 5
7 0
2 years ago
284,792 round to the place value of the underlined digit. Eight being in the ten thousand place value.
Yakvenalex [24]
The answer 280,000 because 4 is closer to 0
6 0
3 years ago
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