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Debora [2.8K]
3 years ago
5

Find the Measure of A (please show work)

Mathematics
1 answer:
slamgirl [31]3 years ago
5 0

Answer: x=10

Step-by-step explanation:

5x+17+3x+19=116

5x+3x+17+19=116

8x+36=116

8x=80

x=10

I hope this helps you!

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I am a number greater than 40,000 and less than 60,000. My ones digit and tens digit are the same. My ten-thousands digit is 1 l
jarptica [38.1K]
I am a number greater than 40,000 and less than 60,000:

40,000 < n < 60,000

This means that:

n = 10,000n₁ + 1,000n₂ + 100n₃ + 11n₄

And also:

4 ≤ n₁ < 6

0 ≤ n₂ ≤ 9

0 ≤ n₃ ≤ 9

0 ≤ n₄ ≤ 9

My ten thousands digit is 1 less than 3 times the sum of my ones digit and tens digit:

n₁ = 3*2n₄ - 1

n₁ = 6n₄ - 1

This means that:

n = 10,000*(6n₄-1) + 1,000n₂ + 100n₃ + 11n₄

n = 60,000n₄ - 10,000 + 1,000n₂ + 100n₃ + 11n₄

n = 60,011n₄ - 10,000 + 1,000n₂ + 100n₃

<span>My thousands digit is half my hundreds digit, and the sum of those two digits is 9:

n</span>₂ = 1/2 * n₃
<span>
n</span>₂ + n₃ = 9
<span>
Therefore:

n</span>₂ = 9 - n₃
<span>
Therefore:

9 - n</span>₃ = 1/2 * n₃
<span>
9 = 1/2 * n</span>₃ + n₃
<span>
9 = 1.5 * n</span>₃
<span>
Therefore:

n</span>₃ = 6
<span>
If n</span>₃=6, n₂=3.
<span>
This means that:

</span>n = 60,011n₄ - 10,000 + 1,000*3 + 100*6

n = 60,011n₄ - 10,000 + 3,000 + 600

n = 60,011n₄ - 6,400

Therefore:

0<n₄<2, so n₄=1.

If n₄=1:

n = 60,011 - 6,400

n = 53,611

Answer:

53,611
3 0
3 years ago
How do I figure this out?
Lelechka [254]

Answer:

shoulda woulda coulda been B

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
What is an equation of the line that passes through the points (-2, -5) and (-1, 1)?
Dennis_Churaev [7]

Answer: y=6x+7

Step-by-step explanation:

To find the equation of the line, we want to find the slope with the formula m=\frac{y_2-y_1}{x_2-x_1}.

m=\frac{1-(-5)}{-1-(-2)} =\frac{6}{1}=6

Now that we know th eslope, we can start to fill out the equation. To find the y-intercept, we can plug in a given point and solve.

y=6x+b

1=6(-1)+b             [multiply]

1=-6+b                 [add both sides by 6]

b=7

Now, we know the equation is y=6x+7.

8 0
3 years ago
Read 2 more answers
Which shows the correct solution of the equation, when ?
ch4aika [34]
When the equation is ax+b which is y =ax+b
6 0
2 years ago
Read 2 more answers
Hey can some one help me out
Archy [21]

I believe the correct situation is C

3 0
3 years ago
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