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Core Connections Integrated II, 2015

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Core Connections Integrated II, 2015 View details

1. Section 4.1

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Exercise 30 Page 220

Two triangles with at least two pairs of congruent angles are similar.

x=7.5 units

Practice makes perfect

The triangles have three pairs of congruent angles which means they are similar. To solve for x, we can use this similarity because, in similar shapes, the ratio between any pair of corresponding sides is constant.

By solving this equation, we can determine the value of x.

x+5/5=10/4

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Solve for x

LHS * 5=RHS* 5

x+5=10/4* 5

MoveRightFacToNum

a/c* b = a* b/c

x+5=50/4

Calculate quotient

x+5=12.5

LHS-5=RHS-5

x=7.5

Thus, x is 7.5 units.

Subchapter links

4.1.1 Introduction to Factoring Expressions p.213-214

4.1.2 Introduction to Factoring Expressions p.217-218

4.1.3 Factoring More Quadratics p.220-221

4.1.4 Factoring Completely p.225-226

4.1.5 Factoring Special Cases p.228-229