Which equation finds the value of x in the triangle below? Right triangle X Y Z is shown. Side X Z has a length of 12, side Z Y has a length of x, and hypotenuse X Y has a length of z. The angle opposite to side x is 20 degrees.

Step-by-step explanation:

The question lacks appropriate option Find the options below;

Answers to choose from are:

a) cot70 = x/12

b) cot 70= 12/x

c) sec 20= x/12

d) sec20 = 12/x

Given the triangle as shown in the attachment, to get the value of x, we will use one of the trigonometry ratio SOH, CAH, TOA

given ZY = x = opposite

XY = z = hypotenuse

XZ = 12 = adjacent

∠X = 20°

∠Z = 90°

Since sum of angle in the triangle is 180°, ∠X+∠Y+∠Z = 180°

20+∠Y + 90 = 180

∠Y = 180-110

∠Y = 70°

According to TOA,

tan∠X = opp/adj = ZY/XZ

tan70= x/12

since cot70 = 1/tan70

reciprocating both sides will give;

1/tan70 = 12/x

cot70 = 12/x

This gives the required expression

answer: $34.31

step-by-step explanation:

$11.99 x 3 = $35.97

$35.97 - 10% = $32.37

$32.37 + 6% = $34.31

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.