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Lera25 [3.4K]
3 years ago
3

HELPPPPP! Will get BRAINLIEST ANSWER!! Axioms of Equality Common Core Geometry Homework

Mathematics
1 answer:
Talja [164]3 years ago
5 0

Answer:

5. The proof to show that AC = EC is as follows

Statements         {}                                             Reason

(1) AB = ED and C is the midpoint of \overline {BD}   {}    Given

(2) BC = DC          {}                                            Definition of midpoint C of \overline {BD}

(3) AB + BC = ED + CD       {}                             Addition property of equality

(4) AC = EC         {}                                             Substitution Property

6. The paragraph proof to show ∠2 and ∠3 are supplementary is as follows;

Statements         {}                                             Reason

m∠1 = m∠3        {}       because they are alternate interior angles

m∠1 + m∠2 = 180°   {} because they are the sum of angles on a straight line

m∠3 + m∠2 = 180°  {}  due to the transitive property axiom

∠2 and ∠3 are supplementary  {}  because they add up to 180°

7. The two column proof is as follows;

Statements         {}                                             Reason

\overline {ABC}, \overline {DB} ⊥ \overline {AC}       {}             given

m∠1 = m∠2       {}                     given

∠DBA = ∠DBC = 90°   {}         definition of \overline {DB} ⊥ \overline {AC}

∠DBA = m∠1 + m∠3    {}          angle addition postulate

∠DBC = m∠2 + m∠4    {}         angle addition postulate      

m∠1 + m∠3 = m∠2 + m∠4   {}  transitive property

m∠3 = m∠4       {}                     addition property of equality

Step-by-step explanation:

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A student writes "the quotient of 5 and x" to describe the algebraic expression -
pashok25 [27]

For this case we have to:

\frac {a} {b} = c

Where:

a: It's the Dividend

b: It is the Divider

c: Is the Quotient

Thus, the expression "the quotient of 5 and x" can be represented as:

\frac {5} {x} = y

Where "y" is the quotient of 5 and x.

ANswer:

\frac {5} {x} = y

5 0
3 years ago
3. Given ABCD ≅ FGHJ and mC = 9x - 7, mH = 5x + 13, find the value of x and the measures of angle C and angle H. Show all work
kondor19780726 [428]

Answers:

x = 5

m∠C = m∠H = 38 degrees

 

 

WORKINGS

 

Given that ABCD ≅ FGHJ

We know that corresponding angles of two congruent quadrilaterals are equal

Therefore,

m∠A = m∠F

m∠B = m∠G

m∠C = m∠H

m∠D = m∠I

 

Given,

m∠C = 9x – 7

m∠H = 5x + 13

 

Since m∠C = m∠H

9x – 7 = 5x + 13

 

Add 7 to both sides of the equation

9x – 7 + 7 = 5x + 13 + 7

9x = 5x + 20

 

Subtract 5x from both sides of the equation

9x – 5x = 5x – 5x + 20

4x = 20

 

Divide both sides of the equation by 4

4x/4 = 20/4

x = 5

 

 

To determine the measures of angle C and angle H

m∠C = m∠H

 

We know that m∠C = 9x – 7

Since x = 5

m∠C = 9(5) – 7

m∠C = 45 – 7

m∠C = 38

 

Therefore, m∠C = m∠H = 38 degrees
4 0
4 years ago
Please help i’ll give brainliest
Len [333]

Answer:

C

Step-by-step explanation:

Angle Bisector means the line is being split in half evenly. So, when angle 3 is 60, so is angle 4. Angles 1 and 2 are both 30 degrees because 30 + 60 equals to 90 degrees.

I hope this helps!

4 0
4 years ago
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