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2 years ago

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What are the missing statement and reason in step 2 of the proof? Statement: ∠ABC ≅ ∠BCD, ∠BAD ≅ ∠ADC Reason: For parallel lines

cut by a transversal, corresponding angles are congruent. Statement: ΔABC ≅ ΔCDA Reason: SSS criterion for congruence Statement: AB ≅ CD, BC ≅ AD Reason: given Statement: AB ∥ CD, BC ∥ AD Reason: definition of a parallelogram Statement: ∠BAC ≅ ∠ACD Reason: Alternate Interior Angles Theorem

1 answer:

ICE Princess25 [194]2 years ago

7 0

Answer:

Statement: AB=CD, BC=AD

Reason: By definition of parallelogram .

Statement: AC=AC

Reason: Reflexive property of equality.

Step-by-step explanation:

1.Statement: $\angle ABC\cong \angle BCD,\angle BAD\cong \angle ADC$ .

Reason: For parallel lines cut by a transversal , corresponding angles are congruent.

2.Statement:AB=CD,BC=AD

Reason: By definition of parallelogram.

3.Statement: AC=AC

Reason: Reflexive property of equality.

4.Statement: $\triangle ABC\cong \triangle CDA$ .

Reason: SSS criterion for congruence.

5.Statement: $AB\cong CD, BC\cong AD$ .

Reason: Given .

6.Statement: $AB\parallel CD, BC\parallel AD$ .

Reason: By definition of parallelogram.

7.Statement: $\angle BAC\cong \angle ACD$ .

Reason: Alternate Interior Angles Theorem.

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What is 38 in denary in base 8

Naily [24]

First divide by 8:_

38 / 8 = 4 remainder 6

so its 46

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2 years ago

How many triangles can you construct with the angle measures of 50, 70, and 100?

lidiya [134]

Answer:

0

Step-by-step explanation:

You can't construct any triangles with those angles. Because when you add all the angles of a triangle, it has to add up to 180. But when we add 50,70, and 100, it equals 220. So you can't construct any triangles.

Hope this helps.<em> (If it does, please mark me brainliest)</em>

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3 years ago

Alla and balla together drink 750ML of water. Of alla drinks 50% more than balla how much does Alla drink

Akimi4 [234]

Answer:

450 ml.

Step-by-step explanation:

Let x be the amount of water drank by Alla and y be the amount of water drank by Balla.

We have been given that Alla and Balla together drink 750 ML of water. We can represent this information as:

$x+y=750...(1)$

We are also told that Alla drinks 50% more than Balla. We can represent this information as:

$x=1.5y...(2)$

From equation (1) we will get,

$y=750-x$

Upon substituting this value in equation (2) we will get,

$x=1.5(750-x)$

Upon distributing 1.5 to right hand side of the equation we will get,

$x=1125-1.5x$

Upon adding 1.5x to both sides of equation we will get,

$x+1.5x=1125-1.5x+1.5x$

$2.5x=1125$

Let us divide both sides of our equation by 2.5.

$\frac{2.5x}{2.5}=\frac{1125}{2.5}$

$x=450$

Therefore, Alla drank 450 ml of water.

8 0

2 years ago

Which pair of numbers have a GCF of 2? Choose all answers that are correct. A. 10 and 2 B. 4 and 6 C. 6 and 12 D. 2 and 24

il63 [147K]

A.
<span>GCF(10; 2) = 2 /</span>factors of 10: 1, 2, 5, 10; factors of 2: 1, 2/

B.
GCF(4; 6) = 2 /factors of 4: 1, 2, 4; factors of 6: 1, <span>2, 3, 6/</span>

C.
GCF(6; 12) = 6 /factors of 6: 1, 2, 3, 6; factors of 12: 1, <span>2, 3, 4, 6, 12/</span>

D.
GCF(2; 24) = 2 <span>/factors of 2: 1, 2; factors of 24: 1, <span>2, 3, 4, 6, 8, 12, 24/</span>

</span>Answer: A, B and D.

8 0

2 years ago

Read 2 more answers

In the diagram shown of circle A, segments UV and UT are congruent. If

grandymaker [24]

Answer:

35°

Step-by-step explanation:

We assume that points S, T, U, V all lie on the circle.

Inscribed angle TUV intercepts long arc VST and short arc VUT. The long arc has measure 220°, so the measure of the short arc is 360° -220° = 140°.

Since chords UV and UT are the same length, point U bisects arc VUT. That means the measure of arc VU is 140°/2 = 70°.

Inscribed angle VSU intercepts arc VU, so has half the measure of the arc:

∠VSU = 70°/2

∠VSU = 35°

Read more on Brainly.com - brainly.com/question/15559971#readmore

8 0

2 years ago