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Daniel [21]
3 years ago
15

Answer the question math

Mathematics
1 answer:
Lerok [7]3 years ago
7 0

Answer:

7y-10

Step-by-step explanation:

9y-\frac{1}{2}\left(4y+20\right)

To simplify this expression, first use the distributive property to distribute \frac{1}{2}.

9y-\frac{1}{2}(4y)+-\frac{1}{2}(20)

Simplify.

9y+-2y+-10

Combine like terms, 9y and -2y.

7y-10

The simplification of 9y-\frac{1}{2}(4y+20) is 7y-10.

I hope this helps ^^

Good luck

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Given: LP=NP<br> ML=MN<br> Prove: LQ=QN
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Answer:

The Proof is below.

Step-by-step explanation:

Given:

\overline {LP} \cong \overline{NP}

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Proof:

In  ΔLPM  and ΔNPM  

\overline {LP} \cong \overline{NP}  ……….{Given}

\overline {ML} \cong \overline{MN}  ……….{Given}

\overline {LP} \cong \overline{NP}  ……….{Reflexive Property}

ΔLPM ≅ ΔNPM      ….{ By Side-Side-Side congruence test}

∴ ∠LMP ≅ ∠NMP  ...{Corresponding parts of congruent triangles (c.p.c.t).}.....( 1 )

Now In ΔLMQ  and ΔNMQ  

\overline {ML} \cong \overline{MN}  ……….{Given}

∠LMQ ≅ ∠NMQ                                 ..........{From 1 above}

\overline {MQ} \cong \overline{MQ}  ……….{Reflexive Property}

ΔLMQ ≅ ΔNMQ         ....{ By Side-Angle-Side Congruence test}

∴ \overline {LQ} \cong \overline{QN} ...{Corresponding parts of congruent triangles (c.p.c.t).}.....Proved

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