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Andreyy89
2 years ago
9

1. In the figure below ABC∡=153°, ABD∢=(5x+5)°, and DBC∢=(3x+12)°. Find the measure of ABD∢ and DBC∢. Show all work

Mathematics
1 answer:
vodka [1.7K]2 years ago
8 0

By angle addition postulate,

m(∠ABD) + m(∠DBC) = m(∠ABC)

Now substitute the values of each angle,

(5x + 5)° + (3x + 12)° = 153°

Combine like terms of the expression,

(5x + 3x) + (5 + 12) = 153

8x + 17 = 153

8x = 153 - 17

x = \frac{136}{8}

x = 17

Substitute the value of 'x' to get the measure of each angle,

m(∠ABD) = (5x + 5)

                = 5(17) + 5

                = 90°

m(∠DBC) = (3x + 12)

                = 3(17) + 12

                = 63°

Learn more,

brainly.com/question/4838302

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In a group of 28 students, 12 study both Art and Biology.
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Answer:

100%

Step-by-step explanation:

Use conditional probability:

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

P(B | A) = (12/28) / P(A)

We need to find the probability that a student studies art.

P(A or B) = P(A) + P(B) − P(A and B)

24/28 = P(A) + (12+12)/28 − 12/28

P(A) = 12/28

P(B | A) = (12/28) / (12/28)

P(B | A) = 1

What this means is that all of the students who study art also study biology.

3 0
3 years ago
0. Completa:<br>4.520.389 = 4__ +5CM + __+__+__+__+__<br>​
stira [4]

Answer:

<h2>4,520,389 = 4M + 5CM + 2DM + 3C + 8D + 9U</h2>

Step-by-step explanation:

In this proble, we defined:

  • D represents tens.
  • C represents hundreds.
  • M represents millions.
  • U is units.

So, the given number is 4,520,389, where we need to state the proper variable according to the position of each digit and its value.

4,520,389 = 4M + 5CM + 2DM + 3C + 8D + 9U

In words, the first term represents 4 millions, the second term represents 5 hundred thousands, the third term represents twenty thousands, the fourth term represents three hundreds, the fifth term represents eighty and the las term represents 9 units.

4 0
3 years ago
Evaluate: 5-3[2+(-5)]2-8
trasher [3.6K]

Answer:

15

Step-by-step explanation:

5 - 3[ 2 + (-5)] 2 - 8

Subtract 5 from 2 to get −3.

5 - 3 (-3) × 2 - 8

Multiply 3 and −3 to get −9.

5 - (-9 × 2) - 8

Multiply −9 and 2 to get −18.

5 - (-18) - 8

The opposite of −18 is 18.

5 + 18 - 8

Add 5 and 18 to get 23.

23 - 8

Subtract 8 from 23 to get 15.

15

Hope it helps and have a great day! =D

~sunshine~

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2 years ago
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Answer:

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Step-by-step explanation:

8 0
3 years ago
Find the x- and y-intercepts of the graph of the linear equation −x+8y=4
Andreyy89
First set the equation equal to y by adding x to each side, then divide everything by 8. then set x to zero and solve to find the y - intercept of 1/2 which is just 4/8 reduced. you get this answer because x/8 becoming 0/8 is just 0 leaving you with only 1/2. then reset the equation with x and set y to zero and solve for x to get the x- intercept of -4. you get this by subtracting 1/2 from both sides leaving you -1/2=x/8 and multiply by 8 to get -4=x

4 0
3 years ago
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