Examine the graph. Triangles S T U & X Y Z with these points: S (0, 0); T (0, 2); U (negative 10, 2); X (5, negative 1); Y (5, negative 2); & Z (10, negative 2). A line goes through U, S, X, & Z.

If you want to show that the slope of the line passing through points U, S, X, and Z is constant, why is it important to know if △STU and △XYZ are similar?

Select the answer that is completely correct.

1 It's important to know if △STU and △XYZ are similar because the corresponding sides of similar triangles are proportional. That means that the measure of SU¯¯¯¯¯¯¯ can be shown to be equal to the measure of XZ¯¯¯¯¯¯¯¯.
2 It's important to know if △STU and △XYZ are similar because the corresponding sides of similar triangles are proportional. That means that the slope of SU¯¯¯¯¯¯¯ can be shown to be equal to the slope of XZ¯¯¯¯¯¯¯¯.
3 It's important to know if △STU and △XYZ are similar because the corresponding sides of similar triangles are equal. That means that the measure of SU¯¯¯¯¯¯¯ can be shown to be equal to the measure of XZ¯¯¯¯¯¯¯¯.
4 It's important to know if △STU and △XYZ are similar because the corresponding sides of similar triangles are equal. That means that the slope of SU¯¯¯¯¯¯¯ can be shown to be equal to the slope of XZ¯¯¯¯¯¯¯¯.

3/4 ÷ 3/4

step-by-step explanation:

basically divide any proper fraction with itself to fit the criteria.

so if we are using 3/4, then:

3/4 ÷ 3/4 = 1

so 1 is the quotient.

and the numerators for both these fractions is 3.   and if we divide the numerators:

3 ÷ 3 = 1

we see that quotient is equal to our original quotient as well.

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

if you need just tell me and i will come to the rescue.

step-by-step explanation: