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Anvisha [2.4K]
3 years ago
9

GIVEN: LJ || WK || AP, PL || AG.

Mathematics
1 answer:
galina1969 [7]3 years ago
8 0

Answer:

∠1 ≅ ∠2 ⇒ proved down

Step-by-step explanation:

#12

In the given figure

∵ LJ // WK

∵ LP is a transversal

∵ ∠1 and ∠KWP are corresponding angles

∵ The corresponding angles are equal in measures

∴ m∠1 = m∠KWP

∴ ∠1 ≅ ∠KWP ⇒ (1)

∵ WK // AP

∵ WP is a transversal

∵ ∠KWP and ∠WPA are interior alternate angles

∵ The interior alternate angles are equal in measures

∴ m∠KWP = m∠WPA

∴ ∠KWP ≅ ∠WPA ⇒ (2)

→ From (1) and (2)

∵ ∠1 and ∠WPA are congruent to ∠KWP

∴ ∠1 and ∠WPA are congruent

∴ ∠1 ≅ ∠WPA ⇒ (3)

∵ WP // AG

∵ AP is a transversal

∵ ∠WPA and ∠2 are interior alternate angles

∵ The interior alternate angles are equal in measures

∴ m∠WPA = m∠2

∴ ∠WPA ≅ ∠2 ⇒ (4)

→ From (3) and (4)

∵ ∠1 and ∠2 are congruent to ∠WPA

∴ ∠1 and ∠2 are congruent

∴ ∠1 ≅ ∠2 ⇒ proved

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hope it helped!
8 0
3 years ago
Is there enough information to prove that the triangles are congruent?
olasank [31]

Answer:

Yes, there is enough information to prove that the triangles are congruent.

SAS POSTULATE

Step-by-step explanation:

In\:\triangle ABC \: and \triangle XYZ\\

AB\cong XY..... (given) \\

\angle ABC \cong\angle XYZ\\(each \: 90\degree) \\

BC\cong YZ..... (given) \\

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7 0
3 years ago
Read 2 more answers
Y=2× Y=×+1<br> A: (2/3, 1/3)<br> B: (1,2)<br> C: (2,1)<br> D: (1/3, 2/3)
FrozenT [24]

Answer:

The answer is B: (1,2)

Step-by-step explanation:

(solved using elimination method)

-2x+y=0

y=x+1

-x+y=1

-2x+y=0

x+y=-1

-x=-1

x=1

-1+y=1

y=2

(x,y)=(1,2)

5 0
2 years ago
Great tennis players use Hexrackets. There if you use a Hexracket, you are a great tennis nyer.
34kurt

Answer:

The conclusion is invalid.

The required diagram is shown below:

Step-by-step explanation:

Consider the provided statement.

Great tennis players use Hexrackets. Therefore, if you use a Hexracket, you are a great tennis player.

From the above statement we can concluded that Great tennis players use Hexrackets. But it may be possible that some people who use a haxracket are not great tennis player.

Therefore, the conclusion is invalid.

The required diagram is shown below:

8 0
3 years ago
Anyone know how to answer this question
mart [117]

9514 1404 393

Answer:

  (x +6)^2 +(y -10)^2 = 225

Step-by-step explanation:

The standard form equation for a circle is ...

  (x -h)^2 + (y -k)^2 = r^2

where the center is (h, k) and the radius is r.

The center of a circle is the midpoint of any diameter. The midpoint between two points is the average of their coordinates.

  ((-15, -2) +(3, 22))/2 = (-15+3, -2+22)/2 = (-6, 10)

The radius can be found using the distance formula, or by simply putting one of the given points in the equation for the circle to see what the constant (r^2) needs to be.

  (x -(-6))^2 +(y -10)^2 = (-15-(-6))^2 +(-2-10)^2

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The equation of the circle is ...

  (x +6)^2 +(y -10)^2 = 225

5 0
3 years ago
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