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3 years ago

Given m||n, find the value of x. >m (7x-1) (9x+5) >n

Mathematics

1 answer:

Serhud [2]3 years ago

7 0

Answer:X=11

Step-by-step explanation:

Angles on a straight line sum up 180°

=>Let take line t (the diagonal) as our straight line

Therefore ; (7x – 1)° + (9x + 5)° = 180°

=>(7x + 9x + 5 – 1) = 180

=> 16x + 4 = 180

=> 16x = 180 – 4

=> 16x = 176

=> (16x)/16 = (176/16)

=> x = 11

HOPE MY EXPLANATION HELPED YOU

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Find the value of x. The figure is not drawn to scale.

mr_godi [17]

Answer:

The answer is 22.2

Step-by-step explanation:

the outer angles always equal 360, so all of those added together should equal 360, and when you sole the equation, you get 22.2

4 0

3 years ago

What's the answer for 18.9 hundred ninety four rounded to the nearest hundreds

ira [324]

So 194 will round to 200

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2 years ago

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YZ has endpoints Y(0,5) and Z (12,3). Find the length of YZ to the nearest tenth.

Alex Ar [27]

Using the formula;
$d(Y, Z) =\sqrt{(xZ - xY)^2 + (yZ - yY)^2$

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3 years ago

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If a=2b^3 and b= -1/2c ^-2,express a in terms of c.

ElenaW [278]

Answer:

Part 1) $a=-\frac{1}{4c^6}$

Part 2) $a=-\frac{1}{4c^{-6}}$

Step-by-step explanation:

Part 1) we have

$a=2b^{3}$ ----> equation A

$b=-\frac{1}{2}c^{-2}$ ----> equation B

substitute equation B in equation A

$a=2(-\frac{1}{2}c^{-2})^{3}$

Applying property of exponents

$(x^{m})^{n}=x^{m*n}$

$x^{-m} =\frac{1}{x^{m}}$

$a=2(-\frac{1}{2}c^{-2})^{3}=2(-\frac{1}{2})^3(c^{-2})^{3}=2(-\frac{1}{8})(c^{-6})=-\frac{1}{4c^6}$

therefore

$a=-\frac{1}{4c^6}$

Part 2) we have

$a=2b^{3}$ ----> equation A

$b=-\frac{1}{2c^{-2}}=-\frac{c^{2}}{2}$ ----> equation B

substitute equation B in equation A

$a=2(-\frac{c^{2}}{2})^{3}$

Applying property of exponents

$(x^{m})^{n}=x^{m*n}$

$x^{-m} =\frac{1}{x^{m}}$

$a=2(-\frac{c^{2}}{2})^{3}=2(-\frac{c^{6}}{8})$

simplify

$a=-\frac{c^{6}}{4}$

therefore

$a=-\frac{1}{4c^{-6}}$

6 0

3 years ago

Jack and Jill were buying water jugs jack bought 2 medium sized jugs and 3 large sized jugs for 150 dollars and Jill bought 4 me

Mademuasel [1]

Answer: the cost of one medium sized jug is $60

the cost of one large sized jug is $10

Step-by-step explanation:

Let x represent the cost of one medium sized jug.

Let y represent the cost of one large sized jug.

Jack bought 2 medium sized jugs and 3 large sized jugs for 150 dollars. This means that

2x + 3y = 150 - - - - - - - - - - - 1

Jill bought 4 medium jugs and 12 large jugs for 360 dollars. This means that

4x + 12y = 360 - - - - - - - - - - - 2

Multiplying equation 1 by 4 and equation 2 by 2, it becomes

8x + 12y = 600

8x + 24y = 720

Subtracting, it becomes

- 12y = - 120

y = - 120/ - 12

y = 10

Substituting y = 10 into equation 1, it becomes

2x + 3 × 10 = 150

2x + 30 = 150

2x = 150 - 30 = 120

x = 120/2 = 60

3 0

3 years ago