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harina [27]
4 years ago
15

Given: AD ≅ BC and AD ∥ BC Prove: ABCD is a parallelogram. Statements Reasons 1. AD ≅ BC; AD ∥ BC 1. given 2. ∠CAD and ∠ACB are

alternate interior ∠s 2. definition of alternate interior angles 3. ∠CAD ≅ ∠ACB 3. alternate interior angles are congruent 4. AC ≅ AC 4. reflexive property 5. △CAD ≅ △ACB 5. SAS congruency theorem 6. AB ≅ CD 6. ? 7. ABCD is a parallelogram 7. parallelogram side theorem What is the missing reason in step 6? SSS congruency theorem CPCTC definition of a parallelogram opposite sides in a parallelogram are congruent
Mathematics
2 answers:
IrinaVladis [17]4 years ago
6 0

Answer:

Because in the previous step we proved that two triangles were congruent, the answer is CPCTC.

irinina [24]4 years ago
4 0

Answer:

The answer is CPCTC because we already proved it in the perious steps

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Two thirds of a number, decreased by thirty six, is at most twenty two. Find the number.
Naily [24]
2/3x - 36 ≤ 22
        +36     +36
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2/3x ≤ 58
2x ≤ 174
x ≤ 87

Hope this helps!
        
4 0
3 years ago
Solve for x (pls help :,,))
Kisachek [45]

Answer:

id say 4

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
PLEASE HELP ME. ITS DUE AT THE END OF CLASS
Alex787 [66]

Answer:

if im looking at it correctly it should be the third one / c

Step-by-step explanation:

8 0
3 years ago
A construction crew is lengthening a road. The road started with a length of 53 miles, and the crew is adding 3 miles to the roa
Sedbober [7]

Answer:

a). L=53+3 D.... equation

b). Total length of the road after the crew has worked 31 days=146 miles

Step-by-step explanation:

Step 1

Find an expression for calculating the total length of a the road as follows;

L=F+(M×D)

where;

L=total length of the road in miles

F=starting length of the road in miles

M=number of miles per day added

D=number of days the crew has worked

In our case;

L=unknown

F=53 miles

M=3 miles per day

D=unknown

L=53+(3×D)

L=53+3 D.... equation

Solve for L when D=31 days

L=53+(3×31)

L=53+93=146

Total length of the road after the crew has worked 31 days=146 miles

7 0
4 years ago
Read 2 more answers
Please answer now, 50 points!
dimulka [17.4K]

Answer:C' = 7-230000/x^2

Step-by-step explanation:

Min occurs when C'=0

0=7-230000/x^2

230000/x^2=7

230000=7x^2

32857.128 = x^2

181.265 = x

Out of range.

So the min must be at an endpoint.

C(1) = 7+230000 = 230007

C(100) = 700+2300 = 3000

Since C(100)<C(1), C(100) is the minimum on the interval [1, 100]

The order size that will minimize cost is 100 units.

6 0
4 years ago
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