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Mathematics

h = 9 but see note below.

Step-by-step explanation:

Givens

h = ?

L = h + 31

diagonal = 41

Formula

h^2 + (h+31)^2 = 41^2

h^2 + h^2 + 62h + 961 = 1681

2h^2 + 62h + 961 = 1681

2h^2 + 62h + 961 - 1681 =0

2h^2 + 62h - 720 = 0

h^2 + 31h - 360 = 0

(h - 9) ( h + 40) = 0

h + 40 has no meaning

h - 9 = 0

h = 9

I suppose you might have to answer it as 9.0

This will factor into

(- 1, 0 )

step-by-step explanation:

an x- intercept is where the function crosses the x- axis.

to find the x- intercept/s look for the value of x when f(x) = 0

from the given table there are 3 values of x where f(x) = 0

when x = - 1, x = 2, x = 3

the one that is listed is (- 1, 0 )

∠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.