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Dafna11 [192]
3 years ago
11

Apply the distributive property to factor out the greatest common factor of all three terms 14x+21y+7z=

Mathematics
1 answer:
Elenna [48]3 years ago
8 0

Answer:

7(2x+3y+z)

Step-by-step explanation:

14x+21y+7z

Factor out 7

7*2x+ 7*3y+7*z

7(2x+3y+z)

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The condition_______?proves that ∆ABC and ∆EFG are congruent by the SAS criterion.
snow_lady [41]

Answer:

(1)  D.Angle C is congruent to to Angle F. (2) C. SSS. (3) C. cannot be congruent to.

Step-by-step explanation:

1)

From the given figure it is noticed that

AC=EG

CB=GF

According to SAS postulate,  if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then both triangles are congruent.

The included angles of congruent sides are angle C and angle G.

So, condition "Angle C is congruent to to Angle F"  will prove that the ∆ABC and ∆EFG are congruent by the SAS criterion.

2)

If AB\neq EF

According to SSS postulate,  if all three sides in one triangle are congruent to the corresponding sides in the other.

Since two corresponding sides are congruent but third sides of triangles are not congruent, therefore SSS criterion for congruence is violated.

3)

Since two corresponding sides are congruent but third sides of triangles are not congruent, therefore the included angle of congruent sides are different.

\angle C\neq \angle G

Therefore angle C and angle F cannot be congruent to each other.

4 0
3 years ago
Write a description of this inequality: <br> -5a+3&gt;1
iren [92.7K]
The sum of -5a and 3 is greater than 1.

8 0
3 years ago
Find AC.<br> Round to the nearest tenth.<br> B<br> 86°<br> 16<br> С<br> 11<br> A
Vadim26 [7]

Answer:

19.4

Step-by-step explanation:

16^2+11^2=377

then square 377 which will equal to

19.416 which can be rounded up to 19.4

6 0
2 years ago
5x-2y=30 complete the missing value in the solution to the question (8, )
natali 33 [55]

Answer:

(8,5)

Step-by-step explanation:

5x-2y=30

lets substitute "8" as x and see where that takes us

5(8)-2y=30

40-2y=30

subtract 40 on both sides

-2y=-10

divide by "-2" on both sides

y=5

(8,5) is your answer

4 0
2 years ago
Read 2 more answers
∆ABC ~ ∆DEF. If ∠A=35° and ∠E=55°, what is the measure of ∠C?
madam [21]

Answer:

90°

Step-by-step explanation:

ABC ~ DEF so that means E = B.  A triangle has to add up to 180° so that means 180-35-55=90

7 0
3 years ago
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