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irga5000 [103]
2 years ago
14

The angle measures of a triangle are shown in the diagram below

Mathematics
2 answers:
svlad2 [7]2 years ago
4 0

Answer:

x = 12

Step-by-step explanation:

(7x+4)+(2x+5)+(5x+3) = 180

so if you take out the brackets it would be:

7x+4+2x+5+5x+3 = 180

Then you add the similar variables together which would look like:

14x+12=180

Take away 12 from both sides

14x = 180 - 12

14x = 168

Divide 14 from both sides

x = 168/14

x = 12

s344n2d4d5 [400]2 years ago
4 0

Answer:

x=12

Step-by-step explanation:

2x+5+5x+3+7x+4=180

14x+12=180

180-12=168

14x=168

x=12

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SIMPLIFY.<br><br> 6y^3(3 + 4y^2)
Hitman42 [59]

Answer:

18y^3 + 24y^5.

Step-by-step explanation:

6y^3(3 + 4y^2)

= 6*3 y^3 + 6*4 y^(3+2)

= 18y^3 + 24y^5.

5 0
3 years ago
a car that was originally worth 29500$ it depreciates at a rate of 2500$ per year find the value of the car after six years
Triss [41]

Answer:

14,500

Step-by-step explanation: Just took the test.

7 0
2 years ago
Trina has 72 collectors stamp she puts 43
ryzh [129]
116 if you add 72 plus 43
7 0
3 years ago
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In one jar, I have two balls labelled 1 and 2 respectively. In a second jar, I have three balls labelled 0, 1 and 2 respectively
PolarNik [594]

Step-by-step explanation:

this is a kind of trick question, actually.

with whatever we draw, we produce X values as power of 3.

to be precise, we can have only

3⁰ = 1

3¹ = 3

3² = 9

3⁴ = 81

due to the possible combinations of drawn numbers (e.g. 3 cannot be created by a multiplication of 0s, 1s and 2s).

so, mostly, these results cannot be exact factors of 1024.

1024 cannot be divided by 3, nor by 9 nor by 81.

but 1024 is a multiple of 1 (as is every number).

so, we are looking at the probability to get 0 as multiplication result of the numbers on the 2 drawn balls.

the only possibilities are

1 and 0

2 and 0

out of in total 6 (2×3) different outcomes

1 and 0

1 and 1

1 and 2

2 and 0

2 and 1

2 and 2

the probability of this "0" event is again

number of desired outcomes / number of possible outcomes = 2/6 = 1/3

6 0
2 years ago
The table shows the ratio between the number of books ordered and their cost: Find equivalent ratios when the number of books or
Nana76 [90]

Answer:

The answer is below

Step-by-step explanation:

The table shows the ratio between the number of books ordered and their cost: Number of Books Cost (dollars) 7 21 8 24 9 27 Find equivalent ratios when the number of books ordered is 1, 2, and 3. Write them as ordered pairs in the form (x-coordinate, y-coordinate). Starting from the origin, explain how to plot the three equivalent ratios on a coordinate grid.

Answer: Let the number of books be represented as x and the cost (dollars) be represented as y. From the table the ordered pairs in the form (x, y) can be gotten. (7, 21), (8, 24), (9, 27). To get the relationship between the number of books and the cost, we can use the formula of a straight line.

Using point (7, 21) and (8, 24):

y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-21=\frac{24-21}{8-7}(x-7)\\ \\y-21=3(x-7)\\\\y=3x-21+21\\\\y=3x

When the number of books ordered is 1, 2, 3 the following pairs are:

For x = 1.     y = 3x = 3(1) = 3

For x = 2     y=3x = 3(2) = 6

For x = 3     y = 3x = 3(3) = 9

The ordered pairs are (1, 3), (2, 6), (3, 9)

The graph is attached

To plot the ordered pairs, the number of books are plotted on the x coordinate and the cost on the y coordinate  

8 0
3 years ago
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