Given:
AB
≅
BC
and AD = 10 in
m∠BDC = 90°
m∠ABC = 130°
Find: m∠ DBC, AC

A) and  

B) and  

Step-by-step explanation:

The picture of the question in the attached figure

Problem A

we know that

Triangle ABC has two equal sides

AB  ≅

BC

so

Is an isosceles triangle

therefore

Remember that

The altitude to the base of an isosceles triangle bisects the vertex angle. and bisects the base

In this problem segment BD represent the altitude to the base of an isosceles triangle ABC

so

Part 1) Find the measure of angle DBC

we have

substitute

Part 2) Find the value of segment AC

we have

substitute

Problem B

we know that

Triangle ABC has two equal sides

AB  ≅

BC

so

Is an isosceles triangle

therefore

Remember that

The altitude to the base of an isosceles triangle bisects the vertex angle. and bisects the base

In this problem segment BD represent the altitude to the base of an isosceles triangle ABC

so

Part 1) Find the measure of angle DBC

we have

substitute

Part 2) Find the value of segment AC

we have

substitute

40% off the regular price is the correct answer.

step-by-step explanation:

step-by-step explanation:

well if you round, things become much more simple. round 5.95 to 6, 4.25 to 4, and 1.05 to 1. now, add 6+4+1 and that would equal 11. so the items together would equal to about $11.