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Yuki888 [10]
3 years ago
14

Find the value of x.

Mathematics
1 answer:
omeli [17]3 years ago
8 0

Answer:

x=45.5

Step-by-step explanation:

sum of angles of a quadrilateral is 360°

so 3x - 11+x+8+x-8+2x+7+x=360°

or 8x-4=360

or, x=364÷8

hence

x=45.5

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Select all points that are on the line through 0,5
Rus_ich [418]

Answer:

Options (1), (3), and (4)

Step-by-step explanation:

Since, slope of a line passing through two points (x_1,y_1) and (x_2,y_2) is given by,

m = \frac{y_2-y_1}{x_2-x_1}

Therefore, slope of a line passing through (0, 5) and (2, 8) will be,

m = \frac{8-5}{2-0} = 1.5

Equation of line passing through (x', y') and slope 'm' is,

y - y' = m(x - x')

Therefore, equation of a line passing through (0, 5) and slope = 1.5,

y - 5 = 1.5(x - 0)

y = 1.5x + 5

Since, all the points which lie on this line will satisfy this equation.

For (4, 11),

11 = 1.5(4) + 5

11 = 11

Point (4, 11) lies on this line.

Point (5, 10)

10 = 1.5(5) + 5

10 = 7.5 + 5

10 = 12.5

But 10 ≠ 12.5

Therefore, (5, 10) doesn't line on the line.

Point (6, 14)

14 = 1.5(6) + 5

14 = 14

True.

Therefore, (6, 14) lies on the line.

Point (30, 50)

50 = 1.5(30) + 5

50 = 50

True.

Therefore, (30, 50) lies on the line.

Point (40, 60)

60 = 1.5(40) + 5

60 = 65

But 60 ≠ 65

Therefore, (40, 60) doesn't lie on the line.

Options (1), (3) and (4) and the correct options.

3 0
2 years ago
Read 2 more answers
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EastWind [94]

Answer:

7. 163 pizzas

8. 4 pencils

Step-by-step explanation:

7. 1,956 divided by 12 equals 163

8.  \frac{829}{25} = 33 \frac{4}{25}

5 0
2 years ago
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At a farmers' market Saturday, 5/8 of the vegetables sold were green. Of these, 3/4 were string beans. What fraction of the vege
Dennis_Churaev [7]

Answer: 15/32

Step-by-step explanation:

The data that we have is:

5/8 of the vegetable sold where green.

of theses 5/8, 3/4 were string beans.

Then the 3/4 is applied to the 5/8 of green vegetables.

Then the fraction (of the total number of vegetables) that were string beans was:

F  = (3/4)*(5/8) = (3*5)/(4*8) = 15/32

3 0
3 years ago
Help me plzzzz and tyyyy
marin [14]

Answer:

her language arts hw takes longer and it takes 2/9 hr longer

Step-by-step explanation:

first of all, 4/9 > 2/9

4/9-2/9=2/9

5 0
3 years ago
the bacteria in a certain culture double every 7.3 hours.The culture has 6000 bacteria at the start.how many bacteria will the c
kvasek [131]
<span>The bacteria in a certain culture double every 7.1 hours.
The culture has 6,500 bacteria at the start. How much after 4 hrs
:
Using the formula: A = Ao*2^(t/d) where
A = amt after t time

Ao = initial amt (t=0)
t = time of action
d = doubling time of the bacteria
;
A = 6500*2^(4/7.1)
A = 6500 * 1.4777
A = 9605 bacteria after 4 hrs</span>
6 0
3 years ago
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