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3 years ago

What’s the value of x ?

Mathematics

1 answer:

igor_vitrenko [27]3 years ago

7 0

Answer:

x = 127

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 6, thus

sum = 180° × 4 = 720°

Sum the interior angles and equate to 720

x + 120 + 100 + 128 + 133 + 112 = 720, that is

x + 593 = 720 ( subtract 593 from both sides )

x = 127

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The sum of two numbers is 210. Determine the maximum product of these two numbers

11111nata11111 [884]

If we take the two numbers 105 and 105,
if we add both these numbers we get the sum of 210
105+105 = 210
and we multiply both these numbers we get the product of 11,025.
105 x 105 = 11,025
and if we take two number 104 and 106, we get the sum of 210 but if we multiply these two numbers we get the product of 11,024 that is less than 11,025.
So the <span>maximum product of these two numbers is 11,025.</span>

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4 years ago

In the figure angle G measures 102° and angle B measures 30° what is the measurement of angle B

Sedaia [141]

30 degrees is what the answer is because it says it in the question

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3 years ago

Read 2 more answers

Write an equation of the line passing through (-3,4) and (6,5) and give the answer in standard form

Andru [333]

Let's start by putting it into slope-intercept form, which is
y=mx+b where m=slope and b=y-intercept (the value of y when x=0)

Find the slope between (-3, 4) and (6, 5).
Formula for slope: $m=\frac{rise}{run}=\frac{y_2-y_1}{x_2-x_1}$
Plug in our x and y values...
$m=\frac{5-4}{6-(-3)}=\frac{1}9$
Our slope is 1/9.

We can interpret this slope rise/run = 1/9 as
<em>"When y changes by 1, x changes by 9. (and vice versa)"
</em>We want to find the y-intercept. (the value of y when x=0)
Let's take the point (-3, 4).
We want to add 3 to that x to make it 0.
According to our slope, this means adding 1/3 to y. (1 to 9 = 1/3 to 3)
Our y-intercept is at (0, 4 1/3), with the value we use in our eqn. b = 4 1/3.
Let's use an improper fraction, b = 13/3.

Now our equation is $y=\frac{1}9x+\frac{13}3$
Let's convert to standard form, ax+by+c=0.
Just multiply by the LCD of our fractions (in this case, 9)
$9y=x+39$
Now move everything to the left side.
$\boxed{-x+9y-39=0}$

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4 years ago

Jonathan must determine the solutions of the quadratic equation 0=4x^2+3x+8 which of the following is a solution to the equation

alex41 [277]

Answer:

option A

Step-by-step explanation:

Using quadratic formula:

$x=\frac{-b+-\sqrt{b^{2}-4*a*c} }{2*a}$

We will have 2 solutions.

0=4x^2+3x+8 a=4 b=3 c=8

$x_{1}=\frac{-3+\sqrt{3^{2}-4*4*8} }{2*4}\\\\x_{2}=\frac{-3-\sqrt{3^{2}-4*4*8} }{2*4}$

We have:

$x_{1}=\frac{-3+\sqrt{9-128} }{8}\\\\x_{2}=\frac{-3-\sqrt{9-128} }{8}\\\\$

$x_{1}=\frac{-3+\sqrt{-119} }{8}\\\\x_{2}=\frac{-3-\sqrt{-119} }{8}\\$

The solutions are not real numbers.

We know:

$i=\sqrt{-1}$

We can write:

$x_{1}=\frac{-3+i\sqrt{119} }{8}\\\\x_{2}=\frac{-3-i\sqrt{119} }{8}\\$

so the option is A:

$x_{2}=\frac{-3-i\sqrt{119} }{8}$

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3 years ago

One solution to the problem below is 9 what is the other solution w^2-81=0

Blizzard [7]

Second degree equations always have two (not necessarily different) solutions. We are told that 9 is one solution to w² - 81 - 0. To find the other, we can solve it for w and look for both.

w² - 81 = 0

w² = 81

w = √81

w = 9 OR w = -9

When solving by square roots, you need the solution and its opposite. That's because while 9 * 9 = 81, (-9) * (-9) = 81 as well.

The other solution is -9.

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4 years ago