Explain why two right triangles, each with an acute angle of 17°, must be similar.

Step-by-step explanation:

We can show that the two triangles are similar using the Angle-Angle similarity criterion.

By Angle-Angle similarity criterion, when two angles of one triangle are equal to the two angles of the other triangle, then the two triangles are said to be similar.

Here, it is given that each triangle has an acute angle of 17°.

So, we have one pair of equal angles in the two triangles.

Also, the two triangles are right-angled triangles.

So, each of them will have an angle of 90°.

Since two angles of one triangle are equal to the two angles on the other triangle, the two triangles are similar.

answer: just subtact the units and then add the non negative : happy to

step-by-step explanation:

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is