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3 years ago

Find the value of x needed to make the equation true. 8x – 4 = 13x + 6

Mathematics

1 answer:

Kipish [7]3 years ago

7 0

Answer:

x = -2

Step-by-step explanation:

First, you need to subtract 8x from both sides:

8x – 4 = 13x + 6

-8x -8x

____________

-4 = 5x + 6

Then, subtract 6 from both sides:

-4 = 5x + 6

-6 - 6

________

-10 = 5x

Lastly, divide both sides by 5:

-10 = 5x

-2 = x

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Answer all questions

loris [4]

Answer:

7i) 140 7ii) 80 7iii) 60 8i) isosceles 8ii) 74 8iii) 60 8iv) 46 degrees 9i) 56

9ii) 80 9iii) 62 10) Angle c is 64 degrees. Angle d is 26 degrees

Step-by-step explanation:

7i) Add up all the interior angles. Since the triangle is isosceles, there are two 70 degree angles. The exterior angle is equal to the two 70 degree angles together, or 140 degrees.

7ii) Add up all the interior angles. Since the triangle is isosceles, there are two 40 degree angles. The exterior angle is equal to the two 40 degree angles together, or 80 degrees.

7iii) Add up all the interior angles. Since the left triangle is isosceles, there are two 30 degree angles. The exterior angle is equal to the two 30 degrees angles together, or 60 degrees.

8i) This is an isosceles triangle because two of the sides are the same length.

8ii) Since the triangle is isosceles, there are two 74 degree angles, and angle BDC is one of them.

8iii) Since the triangle is equilateral, all of the angles equal 60 degrees. This means that angle DAB is 60 degrees.

8iv) Add together 60 degrees from the equilateral and 74 degrees from the isosceles triangle and subtract that sum from 180. 180 - (60 + 74) = 46 degrees.

9i) Angles x and 56 are consecutive interior angles, which means they are the same measure.

9ii) Since the triangle is isosceles, two of the angles are 50 degrees, so subtract 100 from 180 to find the other angle. 180 - 100 = 80 Angles 80 and x are alternate interior angles, which means they are the same measure.

9iii) Angle is has a measure of 62 degrees because the two triangles are the same except for the size, which doesn't matter.

10) Since the left triangle is isosceles, there are two 58 degree angles, so subtract the sum of the two angles from 180. 180 - 116 = 64 degrees Looking at the triangle on the right, add together the 64 and 90 degree angles and subtract from 180 to find the measure of angle d. 180 - 154 = 26 degrees

If these answers are correct, please make me Brainliest!

5 0

3 years ago

What are the slope and x and y intercept of 3x-6y=18? please help me

amid [387]

X intercept (6,0)
y intercept (-3,0)
slope is m= 1/2

3 0

3 years ago

The marginal price per pound (in dollars) at which a coffee store is willing to supply x pounds of Jamaican Blue Mountain coffee

il63 [147K]

Answer:

Thus, the coffee shop is willing to supply 6 pounds per week at a price of $4 per pound.

Step-by-step explanation:

We are given the following information in the question:

The marginal price per pound (in dollars) is given by:

$p'(x) = \displaystyle\frac{208}{(x+7)^2}$

where x is the supply in pounds.

$P(x) = \displaystyle\int p'(x)~dx =\displaystyle\int\displaystyle\frac{208}{(x+7)^2}~dx\\\\P(x) = \frac{-208}{(x+7)} + c\\\\\text{where c is the constant of integration.}$

The coffee shop is willing to supply 9 pounds per week at a price of $7 per pound.

Thus, we are given that

P(9) = 7

Putting the values, we get,

$P(x) = \displaystyle\frac{-208}{(x+7)} + c\\\\P(9) = 7\\\\\displaystyle\frac{-208}{(9+7)} + c = 7\\\\c = 7 + \frac{208}{16} = 20$

$P(x) = \displaystyle\frac{-208}{(x+7)} + 20$

Now, we have to find how many pounds it would be willing to supply at a price of $4 per pound.

P(x) = 4

$P(x) = \displaystyle\frac{-208}{(x+7)} + 20 = 4\\\\\frac{-208}{x+7} = -16\\\\x + 7 = 13\\x = 6$

Thus, the coffee shop is willing to supply 6 pounds per week at a price of $4 per pound.

3 0

3 years ago

What is the answer to this question

Ratling [72]

Hello!

As you cans see, the angle is a right angle, which measures 90°. One of the angles measure 35°

90 - 35 = 55

That means 5x = 55°

Divide both sides by 5

$\frac{5x}{5} = \frac{55}{5}$

$\framebox{x = 11 \°}$

7 0

3 years ago

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What is the volume of the square pyramid? Round to the nearest tenth.

goldfiish [28.3K]

Answer:

$V=718.7\ cm^{3}$