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frosja888 [35]
2 years ago
13

Find the value of X ​

Mathematics
2 answers:
Basile [38]2 years ago
4 0

x + 3x + 80 = 180 \\ 4x = 180 - 8 0 \\ 4x = 100  \\ x =  \frac{100}{4}  \\ x = 25 \:  \:  \:

sweet [91]2 years ago
3 0

The sum of all the angles of the triangle is 180°.

80 + 3x + x = 180°

80 + 4x = 180°

4x = 180 - 80

4x = 100

x = 100/ 4

x= 25

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​Solve the absolute value equation. Check for extraneous solutions: |9x-3|=12
STatiana [176]

ANSWER: x=5/3, -1. Good luck. Hope this suffices.

Explanation for x=-1: |9x-3|=12. Lets take the absolute value brackets away for a sec. Add 3 to both sides 9x-3+3=-12+3, simplify: 9x=-9, divide both sides by nine:9x/9=-9/9. And that means that x=-1.

Explanation for x=5/3: |9x-3|=12. Add 3. 9x-3+3=12+3. Simplify: 9x=15. Divide both sides by 9. 9x/9=15/9. Simplify: x=5/3

5 0
2 years ago
Find the measure of DC if m
kupik [55]

Answer:

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Step-by-step explanation:

<u>Find the measure of arc BD</u>

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  • 2*36° = 150° - arc BD
  • arc BD = 150° - 72° = 78°

<u>Find the measure of arc DC</u>

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  • arc DC = 360° - (150° + 78°) = 360° - 228° = 132°

Correct choice is B

7 0
2 years ago
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If two standard six-sided dice are tossed, what is the probability that a 5 is rolled on at least one of the two dice? express y
zaharov [31]
We define the probability of a particular event occurring as:
\frac{number\ of \ desired\ outcomes}{number\ of\ possible\ outcomes}

What are the total number of possible outcomes for the rolling of two dice? The rolls - though performed at the same time - are <em>independent</em>, which means one roll has no effect on the other. There are six possible outcomes for the first die, and for <em>each </em>of those, there are six possible outcomes for the second, for a total of 6 x 6 = 36 possible rolls.

Now that we've found the number of possible outcomes, we need to find the number of <em>desired</em> outcomes. What are our desired outcomes in this problem? They are asking for all outcomes where there is <em>at least one 5 rolled</em>. It turns out, there are only 3:

(1) D1 - 5, D2 - Anything else, (2), D1 - Anything else, D2 - 5, and (3) D1 - 5, D2 - 5

So, we have \frac{3}{36} = \frac{1}{12} probability of rolling at least one 5.
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2 years ago
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alina1380 [7]
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