Jane's family has signed up for a new cell phone plan. jane now has a limit on the # of texts she can send or receive each month. she can text no more than times per month.

a. write a compound inequality to represent the # of texts, , that jane can send in a month.

b. write the compound inequality in compact form.

c. graph the inequality. describe your number line representation.

The triangles ABC and EDC are congruent by ASA rule.

Step-by-step explanation:

Given Kayla walks along the edge of the river 100 ft and marks point C. Then she walks 100 ft further and marks point D. She turns 90° and walks until her location, point A, and point C are collinear. She marks point E at this location. we have to find the distance AB.

In ΔABC and ΔEDC

∠EDC=∠ABC    (each 90)

CD=CB              (given)

∠DCE=∠BCA    (vertical angles)

By ASA rule, ΔABC≅ΔEDC

Now, given DE=175 ft

If two triangles are congruent then these are similar, then the ratio of its corresponding sides is equal and its corresponding angles are congruent

By triangle proportionality,

⇒

⇒ AB=175 ft.

Length of DE is same as AB