A) Using theorems pertaining to transverals and parallel lines, prove that m∠1 + m∠2 = 180o

Mathematics

1 answer:

PtichkaEL [24]2 years ago

5 0

A) Two parallel lines, intersecting a 3rd line (a traversal), indicates that two same-sided, internal angles MUST be SUPPLEMENTARY (sum, or add up to 180°).

b) Since <1 and <2 are supplementary, they add up to 180°. Therefore, <1 + <2 = 180:
(20x+5) + (24x-1) = 180
44x + 4 = 180
44x + 4 -4 = 180-4
44x = 176
44x/44 = 176/44
x = 4

You might be interested in

Solve for x i have no clue what i’m doing help!

miss Akunina [59]

Answer:

x = 8

Step-by-step explanation:

Given 2 intersecting chords in a circle, then the product of the parts of one chord is equal to the product of the parts of the other chord, that is

5x = 4 × 10 = 40 ( divide both sides by 5 )

x = 8

6 0

3 years ago

Read 2 more answers

Statistics is the science of collecting, organizing, summarizing, and analyzing information to draw a conclusion and answer ques

Elena L [17]

Answer:

4.results should be reported with some measure that represent how convinced we are that our conclusion reflect reality

Step-by-step explanation:

Certainly statistics deals with organization, evaluation and data conclusions. But the data is always obtained from representative samples of certain universes for that reason those results must be associated with the degree of confidence

5 0

2 years ago

A blueprint has a scale of one eighth inequals1 ft. On the blueprint, a wall is drawn 2 and three eighths in long. What is the

katrin2010 [14]

19 feet

convert 2 $\frac{3}{8}$ into an improper fraction