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Anastaziya [24]
3 years ago
9

In the following diagram \overline{DE} \parallel \overline{FG}

Mathematics
1 answer:
zloy xaker [14]3 years ago
5 0

Answer:

<x= 31°

Step-by-step explanation:

m<BCA= m<GCJ (vertical angles)

m<BCA= 59° (substitution)

Since line KL is perpendicular to line FG, the angle formed at point B is 90°.

Therefore, m<ABC=90°

m<BAC+m<ABC+m<BCA=180° (sum of triangle)

m<BAC+90°+59°=180° (substitution)

m<BAC+149°=180°

m<BAC=180°-149°

m<BAC=31°

<x=<BAC (vertical angles)

m<x=31° (substitution)

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Anuta_ua [19.1K]
44-2x=x-10 subtract 44 from both sides -2x= x-54 subtract x from both sides -3x= -54 divide by -3 x= 18 square root of 18= 4.24 in radical form 3 square root of 2 hope this helps
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Answer:

The sign at the ticket booth should read "Guests that are under 3 years old or over 62 years old get free admission!"

Step-by-step explanation:

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In the given example, the compound inequality is,

Guests that are under 3 years old and over 62 years old get free admission!

The given inequality can be broken into two individual inequalities as,

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The above two inequalities are combined by "and" in the given compound inequality.

Now, "and" signifies that both the conditions or inequalities should be fulfilled at the same time. But a guest can either be under 3 years old or he/she should be older than 62. Both the conditions cannot be fulfilled at the same time and hence, the sign doesn't make any sense.

To correct the sign, "and" should be replaced with "or".

Therefore, the corrected sign at the ticked booth should read "Guests that are under 3 years old or over 62 years old get free admission!".

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2 years ago
Solve for x<br> Urgent need help
fiasKO [112]
I believe you need to solve this using the quadratic formula!
To begin, this is what it is:
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Just plug in what you have in your problem...
2 being a, 13 being b, and -24 being c.
So we get:
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x= -13 </span><span>± √169 - 8 (-24) / 4</span>
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x= -13 </span>± √<span>361 / 4
The square root of 361 is 19.
So you have: -13 </span><span>± 19 / 4.
Here's where you take the equation </span>-13 <span>± 19 and put the addition and subtraction sign to use.
-13 - 19 = -32
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Now all is left to do is divide the two numbers by 4.
-32/4 = -8
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x = -8, 3/2</span>
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Answer: 1.2

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