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12345 [234]
1 year ago
12

Fill in the blanks to complete the proof

Mathematics
1 answer:
-BARSIC- [3]1 year ago
5 0

The blanks in this two-column proof should be filled as follows:

<u>Statements                                             Reasons</u>_______________

m∠1 = m∠3                                                Given

m∠CBA = m∠ABE + m∠CBD            Angle Addition Postulate  

m∠ABE = m∠3 + m∠2              Substitution Property of Equality          

m∠CBD = m∠3 + m∠2              Substitution Property of Equality

m∠ABE ≅ m∠CBD                    Transitive Property of Equality

<h3>What is the Angle Addition Postulate?</h3>

In Mathematics, the Angle Addition Postulate states that the measure of an angle formed by two (2) angles that are placed side by side to each other is equal to the sum of the measures of the two (2) angles.

This ultimately implies that, the Angle Addition Postulate can be used to determine the measurement of a missing angle in a geometric figure or it can be used for calculating an angle that is formed by two (2) or more angles such as m∠CBA = m∠ABE + m∠CBD.

Read more on Angle Addition Postulate here: brainly.com/question/24746945

#SPJ1

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Using exponents, which expression is equivalent to a^8/a^2?
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4 0
3 years ago
Determine the sample space of all of the possible outcomes one of choosing a card numbered 1, 2, 3, or 4, and a blue, green, or
olya-2409 [2.1K]

Answer:

Sample\ Space = \{1\ Blue, 1\ Green, 1\ Yellow, 2\ Blue, 2\ Green, 2\ Yellow, 3\ Blue, 3\ Green, 3\ Yellow, 4\ Blue, 4\ Green, 4\ Yellow\}

The number of occurrence that involve blue is 4

Step-by-step explanation:

Given

Card\ Number = \{1,2,3,4\}

Marble = \{Blue, Green, Yellow\}

Required

Determine the sample space

To determine the sample space, we have to select a card number and write it alongside the marble colours.

i.e.

Sample\ Space = \{1\ Blue, 1\ Green, 1\ Yellow, 2\ Blue, 2\ Green, 2\ Yellow, 3\ Blue, 3\ Green, 3\ Yellow, 4\ Blue, 4\ Green, 4\ Yellow\}

Solving (b): Outcomes that involves blue marble

First, we list them out

Blue = \{1\ Blue, 2\ Blue, 3\ Blue, 4\ Blue}

Number of occurrence is 4

7 0
3 years ago
What is 15 to the second power
musickatia [10]
15x15=225

Hope it helped!
6 0
4 years ago
Read 2 more answers
If a bolt of fabric measuring 20 yards 8 inches is divided into 26 equal parts. how long is each section?
Troyanec [42]
1 yd = 36 inches....so 20 yds = 20*36 = 720 inches....+ 8 inches = 728 inches

728 / 26 = 28 inches....<==each section is 28 inches
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3 years ago
F (x )= 1/4 x for x = -5
Sholpan [36]

Answer:

-5/4

Step-by-step explanation:

f(x)=1/4x

f(-5)=1/4(-5)

f(-5)=-5/4

6 0
4 years ago
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