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grin007 [14]
4 years ago
12

5/2x+1/2x=10+7/2x PLEASE I NEED HELP ;))))

Mathematics
2 answers:
Alex777 [14]4 years ago
6 0
X=-20

Combine like terms
6/2x=10+7/2x
Subtract 6/2 from both sides
0=10+1/2x
Subtract 10 from both sides
-10=1/2x
Divide 1/2 by both sides to isolate the variable and you’ll get
X=-20
zlopas [31]4 years ago
5 0

Answer:

The answer is that x = -20.

Step-by-step explanation:

The equation:

5/2x + 1/2x = 10 + 7/2x

6/2x = 10 + 7/2x

-7/2x + 6/2x = 10

-1/2x = 10

-1/2x * -2 = 10 * -2

x = -20

Proof:

5/2*-20 + 1/2*-20 = 10 + 7/2(-20)

-50 + (-10) = 10 + (-70)

-50 - 10 = 10 - 70

-60 = -60

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Answer:

The completed proof is presented as follows;

The two column proof is presented as follows;

Statements    {}                                               Reason

1. \overline {HI} ║ \overline {KL}, J is the midpoint of \overline {HL} {}         1. Given

2. ∠IHJ ≅ ∠JLK{}                                            2. Alternate angles are congruent

3. ∠IJH ≅ ∠KJL   {}                                         3. Vertically opposite angles

4.  \overline {HJ} ≅ \overline {JL}   {}                                              4. Definition of midpoint

5. ΔHIJ ≅ ΔLKJ  {}                                         5. By ASA rule of congruency

Step-by-step explanation:

Alternate angles formed by the crossing of the two parallel lines \overline {HI} and \overline {KL}, by the transversal \overline {HL} are equal

Vertically opposite angles formed by the crossing of two straight lines \overline {IK} and \overline {HL} are always equal

A midpoint divides a line into two equal halves

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