UNIT 5 SIMILARITY, RIGHT TRIANGLE TRIGONOMETRY, AND PROOF
Lesson 5: Proving Theorems About Lines and Angles
Use the diagram that follows to solve problems 9 and 10.
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9. Given that ABCD. prove that 22. 23. and Z4 are right angles.
10. Given that AB is the perpendicular bisector of CD, AC = 10r -21, and AD = 7x + 18, find the
value of

step-by-step explanation:

this is not possible to solve with the info given.   you need at least an one angle somewhere.

3/6 chance

step-by-step explanation:

half of the nubers are odd numbers (1,3,5) which in that case if you would be told to simplify it would be 1/2

an = 22 + (n-1) *6

110 seats

step-by-step explanation:

an=a1+(n-1)(d)

a1 = 22   this is the first item in the sequence

d =6   this is how the sequence goes up

a)   an = 22 + (n-1) *6

b) a12 = 22 + (12-1) *6

    a12 = 22+11*6

  a12 = 22 +88

  a12 = 110

18 units²

step-by-step explanation:

first let's find altitude bd using the distance formula

d = √((y₂ - y₁)² + (x₂ - x₁)²)

bd = √((0 - -3)² + (0 - 3)²)

bd = √18

given the placement of points a and c, we can denote that point d bisects segment ac.

we will call ac the base.

using the distance formula

ac = √((0 - 6)² + (-6 - 0)²)

ac = √72

knowing our base and our height, we can plug these into our triangle area formula

area = (b * h)/2

area = (√18 * √72) / 2

area = (√1296) / 2

area = 36 / 2

area = 18 units²