2 years ago

What is the value of x?

Mathematics

2 answers:

Snezhnost [94]2 years ago

6 0

The sum of all the angles of a triangle is 180 degrees

We see that Line HI and JI are equal in length meaning that triangle HIJ is an isosceles triangle. This means that the two angles of unknown measure are both x.

So lets now set up our equation:

$x + x + 74 = 180\\2x = 106\\x = 53$

Thus x is 53 degrees

Hope that helps!

sergejj [24]2 years ago

5 0

53 degrees I believe

You might be interested in

arianna has a large piece of fabric that she wants to use to make some scarves. the number n of scarves she can make is inversel

Olin [163]

$\bf \qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}}\qquad \qquad y=\cfrac{k}{x}\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}$

$\bf \stackrel{\textit{\underline{n} scarves is inversely proportional to the area \underline{a} of each scarf}}{n=\cfrac{k}{a}} \\\\\\ \textit{we also know that } \begin{cases} a=3\\ n=16 \end{cases}\implies 16=\cfrac{k}{3}\implies 48=k~\hfill \boxed{n=\cfrac{48}{a}} \\\\\\ \textit{when a = 4, what is \underline{n}?}\qquad n=\cfrac{48}{4}\implies n=12$