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Monica [59]
3 years ago
5

∆ABC is an isosceles triangle in which angles B and C are congruent.

Mathematics
2 answers:
evablogger [386]3 years ago
7 0
The correct answer is 96
4x+10=x+343x+10=343x=24x=8
B = (4x + 10)   = 4(8) + 10   = 32+10 = 42B = m∠ C = 42A = 180 - 2(42)A = 180 - 84A = 96
Brut [27]3 years ago
4 0
Since B and C are congruent, that means that 4x+10=x+34. Using the addition property of equality, I challenge you to solve for x! After you do that, you can note that all the angles in a triangle add up to 180, so 4x+10+x+34+angleA=180. When you find x, you can substitute that in.

If you need help with the addition property of equality for variables, here's an example - 5x+23=4x+3. Subtracting 3 from both sides, we get 5x+20=4x. Next, we can subtract 5x from both sides to get -x=20 and divide both sides by -1 to get x=-20.

Good luck, and feel free to ask with any questions!
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What is 246 : 7 in long division​
Mars2501 [29]

Here we will show you step-by-step with detailed explanation how to calculate 246 divided by 7 using long division.

Before you continue, note that in the problem 246 divided by 7, the numbers are defined as follows:

246 = dividend

7 = divisor

Step 1:

Start by setting it up with the divisor 7 on the left side and the dividend 246 on the right side like this:

7 ⟌ 2 4 6

Step 2:

The divisor (7) goes into the first digit of the dividend (2), 0 time(s). Therefore, put 0 on top:

0

7 ⟌ 2 4 6

Step 3:

Multiply the divisor by the result in the previous step (7 x 0 = 0) and write that answer below the dividend.

0

7 ⟌ 2 4 6

0

Step 4:

Subtract the result in the previous step from the first digit of the dividend (2 - 0 = 2) and write the answer below.

0

7 ⟌ 2 4 6

- 0

2

Step 5:

Move down the 2nd digit of the dividend (4) like this:

0

7 ⟌ 2 4 6

- 0

2 4

Step 6:

The divisor (7) goes into the bottom number (24), 3 time(s). Therefore, put 3 on top:

0 3

7 ⟌ 2 4 6

- 0

2 4

Step 7:

Multiply the divisor by the result in the previous step (7 x 3 = 21) and write that answer at the bottom:

0 3

7 ⟌ 2 4 6

- 0

2 4

2 1

Step 8:

Subtract the result in the previous step from the number written above it. (24 - 21 = 3) and write the answer at the bottom.

0 3

7 ⟌ 2 4 6

- 0

2 4

- 2 1

3

Step 9:

Move down the last digit of the dividend (6) like this:

0 3

7 ⟌ 2 4 6

- 0

2 4

- 2 1

3 6

Step 10:

The divisor (7) goes into the bottom number (36), 5 time(s). Therefore put 5 on top:

0 3 5

7 ⟌ 2 4 6

- 0

2 4

- 2 1

3 6

Step 11:

Multiply the divisor by the result in the previous step (7 x 5 = 35) and write the answer at the bottom:

0 3 5

7 ⟌ 2 4 6

- 0

2 4

- 2 1

3 6

3 5

Step 12:

Subtract the result in the previous step from the number written above it. (36 - 35 = 1) and write the answer at the bottom.

0 3 5

7 ⟌ 2 4 6

- 0

2 4

- 2 1

3 6

- 3 5

1

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 246 divided by 7 calculated using Long Division is:

35

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