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AnnZ [28]
3 years ago
6

5x-(x+1)=5-2xaolve each equation ​

Mathematics
1 answer:
KatRina [158]3 years ago
7 0

Answer:

x = 1

Step-by-step explanation:

When there is a "-" (minus) sign in front of parenthesis, we distribute the sign inside. Let's do this with "-(x+1)". So we will have:

5x-(x+1)=5-2x\\5x-x-1=5-2x

Now, we follow rules of algebra. We take variables to one side and numbers to another side (remember to change signs with changing sides). Shown below:

5x-x-1=5-2x\\5x-x+2x=5+1

Now, we add like terms in left side. Such as:

ax + bx = (a+b)x

Thus, we have:

5x-x+2x=5+1\\6x=5+1

Now, we add right side and divide and get a value for x:

6x=5+1\\6x=6\\x=\frac{6}{6}\\x=1

The value of x is 1

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2 years ago
If RH = 10 units, HT = 16 units, and GH = 8 units, what is the length of line segment HJ?
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Answer:

HJ=20\ units

Step-by-step explanation:

<u><em>The complete question is</em></u>

RT and GJ are chords that intersect at point H. If RH = 10 units, HT = 16 units, and GH = 8 units, what is the length of line segment HJ? 18 units 20 units 26 units 28 units

we know that

The <u><em>intersecting chords theorem</em></u>  is a statement that describes a relation of the four line segments created by two intersecting chords within a circle. It states that the products of the lengths of the line segments on each chord are equal

so

In this problem

(RH)(HT)=(GH)(HJ)

substitute the given values

(10)(16)=(8)(HJ)

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