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3 years ago

X/-2 + 6 < 9 Solve for x.

Mathematics

2 answers:

I am Lyosha [343]3 years ago

4 0

-2+6=4

x/4 < 9

4-4=0

9-4=5

x=5

satela [25.4K]3 years ago

3 0

Subtract -6 on both sides
Now you have x/-2 on the left and 3 on the right
Then multiply -2 on both sides, leaving you with x on the left and -6 on the right
So x< -6

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jasenka [17]

Answer:

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2 years ago

Which reason justifies step 2 in the proof

faust18 [17]

Answer:

Step-by-step explanation:

Given: ∠N≅∠S, line l bisects TR at Q.

To prove: ΔNQT≅ΔSQR

Proof:

From ΔNQT and ΔSQR

It is given that:

∠N≅∠S (Given)

∠NQT≅∠SQR(Vertical opposite angles)

and TQ≅QR ( Definition of segment bisector)

Thus, by AAS rule,

ΔNQT≅ΔSQR

Hence proved.

Statement Reason

1. ∠N≅∠S given

2. ∠NQT≅∠SQR Vertical angles are congruent

3. line l bisects TR at Q. given

4. TQ≅QR Definition of segment bisector

5. ΔNQT≅ΔSQR AAS theorem

Hence proved.

Thus, option D is correct.

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3 years ago

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serg [7]

Answer:

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Step-by-step explanation:

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3 years ago

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6 0

3 years ago

Read 2 more answers

7.4x + 4.1(2x − 4) = −2.3(x − 6) − 21.6

loris [4]

Answer:

x = $\frac{86}{179}$

Step-by-step explanation:

7.4x + 4.1(2x − 4) = −2.3(x − 6) − 21.6

Multiply both sides by 10:

7.4x×10+4.1(2x-4)×10=-2.3(x-6)×10-21.6×10

Refine:

74x+41(2x-4)=-23(x-6)-216

Distributive Property:

74x+82x-164=-23(x-6)-216

Combine like terms:

156x-164=-23(x-6)-216

Distributive Property:

156x-164=-23x+138-216

Combine like terms:

156x-164=-23x-78

Add 164 to both sides:

156x-164+164=-23x-78+164

Simplify:

156x=-23x+86

Add 23x to both sides:

156x+23x=-23x+86+23x

Simplify:

179x=86

Divide both sides by 179:

$\frac{179x}{179}$ = $\frac{86}{179}$

Simplify:

x = $\frac{86}{179}$

6 0

3 years ago