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3 years ago

Answer and explanation please?

Mathematics

1 answer:

Vadim26 [7]3 years ago

7 0

Answer:

x = 6

Step-by-step explanation:

Line M and line V are parallel so,

Given angles must be alternate angles and alternate angles has equal measurement

so we write an equation to find the value of x:

19x - 4 = 110 add 4 to both sides

19x = 114 divide both sides by 19

x = 6

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<h3>Answer:</h3>

$\large\boxed{\pink{\sf \leadsto Value \ of \ LM \ is \ 11 \ units . }}$

<h3>Step-by-step explanation:</h3>

A figure is given to us in which we can see two triangles one is ∆ MPL and other is ∆MPN .

Figure :- 

$\setlength{\unitlength}{1 cm}\begin{picture}(12,12)\linethickness{0.25mm}\put(0,0){\line(1,2){2}} \put(0.001,0){\line(1,0){4}}\put(2,0){\vector(0,1){5}}\put(4,0){\line( - 1,2){2}}\put(0,-0.4){$\bf L $}\put(2,-0.4){$\bf P$}\put(4,-0.4){$\bf N $}\put(2.2,4){$\bf M $}\put(2.8, - .4){$\bf 5 $}\put(1, - .4){$\bf 5 $}\put(3.4, 2){$\bf 11 $}\put(2.3,0){\line(0,1){.3}}\put(2.3,.3){\line( - 1,0){.3}}\end{picture}$

$\underline{\blue{\sf In\: \triangle MPL \ \& \ \triangle MPN :- }}$

$\qquad \bullet LP = PN = 5 \:\:(given) \\\\\qquad \bullet MP = MP \:\:(Common) \\\\\qquad \bullet \angle MPN = \angle MPL = 90^{\circ} \:\: (given)$

Hence by SAS congruence condition ,

$\orange{\bf \triangle MPL \cong \triangle MPN }$

Hence by cpct ( Corresponding parts of congruent triangles ) we can say that , LM = NM = 11 units .

<h3>Hence the value of LM is 11 units .</h3>

4 0

2 years ago

Answer and explanation please?​

Answer and explanation please?