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SOVA2 [1]
3 years ago
10

Show your work, 10-5x =20

Mathematics
2 answers:
alekssr [168]3 years ago
5 0
The best part of this problem is that it has one unknown variable in the form of "x" and a single equation. So getting to the desired solution becomes very easy.
The equation given in the question is
10 - 5x = 20
- 5x = 20 - 10
- 5x = 10
- x = 10/5
- x = 2
Multiplying both sides with -1 we get
x = -2
So the value of x is -2. I hope the procedure is clear enough for you to understand.
Ilia_Sergeevich [38]3 years ago
3 0
10-5x=20
-10     -10
-5x=10
-5 =-5
x=-2
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3 years ago
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Gre4nikov [31]

Answer:

x = -11/5 and y = 24/5

Step-by-step explanation:

Use elimination.

First, we need to multiply so that at least one variable can cancel out.

We can multiply the top equation by 2.

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4x + 6y = 20

Then, we can use elimination.

The x's cancel out.

So we get 5y = 24

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Then, we can plug in this y value back into the first equation to find x.

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2 years ago
The vertices of a triangle ABC are A(7, 5), B(4, 2), and C(9, 2). What is measure of angle ABC? 30° 45° 56.31° 78.69°
GenaCL600 [577]

The measure of angle ABC is 45°

<em><u>Explanation</u></em>

Vertices of the triangle are:   A(7, 5), B(4, 2), and C(9, 2)

According to the diagram below....

Length of the side BC (a) =\sqrt{(4-9)^2+(2-2)^2}= \sqrt{25}= 5

Length of the side AC (b) = \sqrt{(7-9)^2 +(5-2)^2}= \sqrt{4+9}=\sqrt{13}

Length of the side AB (c) = \sqrt{(7-4)^2 +(5-2)^2} =\sqrt{9+9}=\sqrt{18}

We need to find ∠ABC or ∠B . So using <u>Cosine rule</u>, we will get...

cosB= \frac{a^2+c^2-b^2}{2ac} \\ \\ cos B= \frac{(5)^2+(\sqrt{18})^2-(\sqrt{13})^2}{2*5*\sqrt{18} }\\ \\ cosB= \frac{25+18-13}{10\sqrt{18}} =\frac{30}{10\sqrt{18}}=\frac{3}{\sqrt{18}}\\ \\ cosB=\frac{3}{3\sqrt{2}} =\frac{1}{\sqrt{2}}\\ \\ B= cos^-^1(\frac{1}{\sqrt{2}})= 45 degree

So, the measure of angle ABC is 45°

7 0
3 years ago
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