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natima [27]
2 years ago
12

Supply the missing reasons to complete the proof.

Mathematics
1 answer:
MAXImum [283]2 years ago
7 0

Answer:

3. ASA

4. Corresponding sides of congruent triangles are congruent

Step-by-step explanation:

I marked this in the attached image. ∠B ≅∠E, ∠ACE ≅ ∠DCE, and the side between them BC ≅ EC, so the the triangles ΔACB and ΔDCE are congruent by ASA.

If the triangles are congruent, then all corresponding angles and sides are also congruent.

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What is the answer to the problem
denpristay [2]

Answer:

Option 2

Step-by-step explanation:

(12) - 2 = 10

(11) - 2 = 9

0 x 4 = 0

1 x 4 = 4

8 0
3 years ago
Read 2 more answers
A number consists of two digits. The number is 2 more than 8 times the sum of the digits, and if 54 is subtracted from the numbe
Gennadij [26K]

Let the units digit = x

Let the 10s digit = y

Equations

10y + x - 2 = 8 * (x + y)              (1)

10y + x - 54 = 10x + y               (2)

Equation 1

10y + x - 2 = 8 * (x + y)    Remove the brackets on the right

10y + x - 2 = 8x + 8y       Subtract 8y from both sides

10y - 8y + x - 2 = 8x        Subtract 8x from both sides

2y + x - 8x - 2 = 0            Combine

2y - 7x - 2 = 0                  (3)

Equation 2

10y + x - 54 = 10x + y      Subtract 10x

10y - 9x - 54 = y              Subtract y from both sides.

9y - 9x - 54 = 0               Divide by 9

y - x - 6 =  0                     Multiply by 2

2y - 2x - 12 = 0                (4)

Solution

Subtract (3) - (4)

2y - 7x - 2 = 0

2y - 2x - 12 = 0

- 5x + 10 = 0      Subtract 10 from both sides.

- 5x = - 10          Divide by - 5

  x = 2

Use (4) to find y

2y - 2x - 12 = 0         Let x =2

2y - 2(2) - 12 = 0      Remove the brackets

2y - 4 - 12 = 0           Combine

2y - 16 = 0                 Add 16 to both sides.

2y = 16                      Divide by 2

y = 8

Answer 82

I'll leave the check to you, but the answer of 82 is correct.


 



4 0
4 years ago
How do you find the x and y intercepts of 5x+4y=-20
irina1246 [14]

To find the y intercept, you cover x and it's coefficient and then divide -20 by 4 to get -5. To find the x intercept, you cover y and it's coefficient and divide 5 by -20 to get -4. So, x = -4 and y= -5


8 0
3 years ago
Please help and I have to do this as soon as possible
grin007 [14]
The answer is E: 120 mph
5 0
2 years ago
Read 2 more answers
You have the first season of your favorite television show on a set of DVDs. The set
Misha Larkins [42]

Answer: There are 45 combinations.

Step-by-step explanation:

If the order in which you watch the episodes does not matter, then we can use the combinatory defined as:

If we have N elements, and we want to make groups of K elements, we have

C(N,K) = \frac{N!}{(N-K)!*K!}

combinations.

In this case, we have a total of N = 10 episodes, and we want to make groups of  K = 2.

Then we have:

C = (10, 2) = \frac{10!}{8!*2!} = (10*9)/(2) = 5*9 = 45

There are 45 combinations.

8 0
4 years ago
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