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evablogger [386]
3 years ago
6

X -(2x- 3x-4/7) = 4x -27/3 -3​

Mathematics
2 answers:
RUDIKE [14]3 years ago
7 0
RHS
=4x-27/0
=not defined=0

LHS
=x-2x+3x+4/7=2x+4/7=(14x+4)/7= 14x+4.

14x=-4

x=-4/14

X=-2/7
iVinArrow [24]3 years ago
7 0
Took some time but I think I have it

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1.) Vivian combined different amounts of white paint, blue paint, and green paint to make 145 milliliters (ml) of paint of a new
Ivahew [28]
So here are the answers to the given questions above:
1. Since the equation is already given, what we are going to do is to solve for x first. 
<span>x + (2x – 10) + 1/2 (2x – 10) = 145
x + (2x -10) + x - 5 = 145
x + 2x + x - 10 - 5 = 145
4x = 145 +10 + 5
4x = 160 <<divide both sides by 4 and we get
x = 40.
Therefore, the amount of white paint is 40ml.
The amount of blue paint is 70ml and the green paint is 35ml.
So the difference between the a</span><span>mounts of white paint and blue paint Vivian combined is 30ml.
2. T</span>he equation of the line that passes through the points (-2, 1) and (1, 10) would be: <span>3x - y = -7, the last option. In order to check, just plug in the given ordered pairs.</span>
3 0
3 years ago
Drag and drop formal proof. Prove the Polygon Exterior Angle Sum Theorem for the enclosed triangle, that is ∠1+∠2+∠3=360°
jasenka [17]

Answer:

The sum of all the external angles of a triangle is 360°.

Step-by-step explanation:

Let there are n sides in a polygon.

So, there are n internal angles in the polygon, let ∠i1, ∠i2, ∠i3, ..., ∠in are the measure of n internal angles of the polygon.

The measure of external angle corresponding to ∠i1,  ∠1= 180°-∠i1,

The measure of external angle corresponding to ∠i2, ∠2 = 180°-∠i2,

Similarly, the measure of external angle corresponding to ∠in, ∠n = 180°-∠in.

Now, the sum of all the external angles of the polygon,

(∠1+∠2+...+∠n)=(180°-∠i1)+(180°-∠i2)+...+(180°-∠in)

=(180°+180°+...n times)-(∠i1+∠i2+...+∠in)

=n x 180° - (∠i1+∠i2+...+∠in)

As ∠i1+∠i2+...+∠in is the sum of all the internal angles of the polygon.

So, the sum of all the external angles of the polygon =

(n x 180°) - (sum of all the internal angles of the polygon).

In the case of a triangle, n=3  and the sum of all the three internal angles, ∠i1+∠i2+∠i3 = 180°.

Therefore, the sum of all the external angles of a triangle,

∠1+∠2+∠3 =3x180°-(∠i1+∠i2+∠i3)

                 =540°=180°

                 =360°.

Hence, the sum of all the external angles of a triangle is 360°.

5 0
3 years ago
The width of a rectangle is x. Its length is 3x. How long is the diagonal of the rectangle? Express your answer in simplified ra
nikklg [1K]

Answer:

The length of the diagonal is x√10

Step-by-step explanation:

Here, we want to find the length of the diagonal

The diagonal will represent the hypotenuse of a triangle formed with the width and length of the triangle being the measure of the other sides

Mathematically, we then apply Pythagoras’ theorem to get this

we have this as that the square of the diagonal equals the sum of the squares of the two other sides

d^2 = x^2 + (3x)^2

d^2 = x^2 + 9x^2

d^2 = 10x^2

d = √(10x^2)

d = x√10

7 0
3 years ago
I don't understand this
timama [110]
The product of 0.02 and 0.7 is 0.014. Notice the additional zero in the number 0.'0'2. Product is the total of two numbers multiplied or times (x).

This is the solution:
0.02
0.7
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0.014

So the right answer is A. 0.014.
7 0
3 years ago
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Melanie can afford a $310-per-month car payment. If she is being offered a 5-year car loan with an APR of 3.0%, compounded month
adell [148]
Here is the answer
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3 years ago
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