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jolli1 [7]
3 years ago
12

HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Drag and drop the correct answer into each box to complete the proof.

Given: Parallelogram KLMN

Prove: ∠N≅∠L and ∠M≅∠K

Statement Reason
Parallelogram KLMN Given
KL¯¯¯¯¯∥NM¯¯¯¯¯¯¯ and KN¯¯¯¯¯¯∥LM¯¯¯¯¯¯ Definition of parallelogram
m∠K+m∠N=180°
m∠L+m∠M=180°
m∠K+m∠L=180° Same-Side Interior Angles Theorem

m∠K+m∠N=m∠K+m∠L
m∠L+m∠M=m∠K+m∠L Substitution Property of Equality

m∠N=m∠L
m∠M=m∠K __________

∠N≅∠L and ∠M≅∠K ________

Options:

1. Corresponding Angles Postulate

2. Subtraction Property of Equality

3. Angle Congruence Postulate

4. Definition of congruence

Mathematics
2 answers:
Elina [12.6K]3 years ago
7 0
Same Side Interior Angles  <span>Theorem</span>
Subtraction Property of Equality
Angle Congruence Postulate 
konstantin123 [22]3 years ago
3 0

Consider the given parallelogram KLMN.

Prove: \angle N \cong \angle L, \angle K \cong \angle M

 Statement                                                                       Reason

1. KL \parallel NM, KN \parallel LM               Definition of parallelogram

2. \angle K+ \angle N = 180^\circ                 Same Side interior angle theorem

   \angle L+ \angle M = 180^\circ

  \angle K+ \angle L = 180^\circ

3. \angle K+ \angle N=\angle K+ \angle L   Substitution property

  \angle L+ \angle M=\angle K+ \angle L

4. \angle N = \angle L                                 Subtraction property of equality

  \angle M = \angle K

Subtraction property of equality tells us that if we subtract some number from one side of an equation, we also must subtract from the other side of the equation to keep the equation the same.

5.  \angle N \cong \angle L                         Angle Congruence Postulate

  \angle M \cong \angle K

When two angles are equal, then they are said to be congruent by Angle congruence postulate.

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Step-by-step explanation:

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Zachery is solving the equation 3/4 (x - 8) = 12
Maru [420]

Answer:

3/4*x - 3/4*8=12

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Step-by-step explanation:

multiply 3/4 into the content inside the brackets

have -3/4*8 cross the equal sign changing its sign from - to +

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3 years ago
A tangent line and its normal line have a point of tangency to the function f(x) at (x,y). If the slop of the normal line is m=(
alekssr [168]

Answer:

\displaystyle \\\left(\frac{49}{900},\frac{3761}{900}\right) or approximately (0.544, 4.179)

Step-by-step explanation:

A function and its tangent lines intersect when their slopes are the same. Find the x-coordinate when the slope of f(x) is equal to 8/7 by taking the derivative of f(x):

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Set f'(x) equal to 8/7 and solve for x:

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Therefore, f(x) will intersect at a point of tangency with a line of slope 8/7 at x=49/900. Plug in x=49/900 into f(x) to get the y-coordinate:

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⇒Answer: (49/900, 3761/900) or approximately (0.544, 4.179)

5 0
3 years ago
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sineoko [7]
Add 2.2 to each side so 0.3z = 5.2 - 0.5z -0.8z
add 0.5z to each side so 0.8z = 5.2 - 0.8z
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4 0
3 years ago
Read 2 more answers
Someone help me for this algebra task please
Gekata [30.6K]

Answer:

200

Step-by-step explanation:

Substitute 15 for y

\frac{1}{5} x -  \frac{2}{3} (15) = 30

\frac{1}{5} x - 10 = 30

\frac{1}{5} x = 40

x = 200

3 0
3 years ago
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