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Illusion [34]
4 years ago
11

The measure of the supplement of an angle is 20° more than three times the measure of the original angle. find the measures of t

he angles.
Mathematics
1 answer:
viva [34]4 years ago
3 0

If the original angle is x degrees then its supplement is 180 - x degrees.

we have the equation:-

180 - x = 3x + 20

160 = 4x

x = 40

The original angle is 40 degrees and its supplement is 140 degrees

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John made 3 more free throws than Jose. The
jeyben [28]
25-3=22

22/2 = 11

John made 14 free throws while Jose made 11.
5 0
4 years ago
Solve for m.<br> 8m+95&lt;−87m+5
tiny-mole [99]

Answer:

m < -\frac{18}{19}

Step-by-step explanation:

8m + 95 < -87m + 5

8m + 87m < 5 - 95

95m < -90

m < -<u>\frac{90}{95}</u>

Simplifying gives;

m < -\frac{18}{19}

3 0
3 years ago
Read 2 more answers
Solve 2x^2 + x - 4 = 0 <br> X2 +
damaskus [11]

Answer:

\large \boxed{\sf \ \ x = -\dfrac{\sqrt{33}+1}{4} \ \ or \ \ x = \dfrac{\sqrt{33}-1}{4} \ \ }

Step-by-step explanation:

Hello, please find below my work.

2x^2+x-4=0\\\\\text{*** divide by 2 both sides ***}\\\\x^2+\dfrac{1}{2}x-2=0\\\\\text{*** complete the square ***}\\\\x^2+\dfrac{1}{2}x-2=(x+\dfrac{1}{4})^2-\dfrac{1^2}{4^2}-2=0\\\\\text{*** simplify ***}\\\\(x+\dfrac{1}{4})^2-\dfrac{1+16*2}{16}=(x+\dfrac{1}{4})^2-\dfrac{33}{16}=0

\text{*** add } \dfrac{33}{16} \text{ to both sides ***}\\\\(x+\dfrac{1}{4})^2=\dfrac{33}{16}\\\\\text{**** take the root ***}\\\\x+\dfrac{1}{4}=\pm \dfrac{\sqrt{33}}{4}\\\\\text{*** subtract } \dfrac{1}{4} \text{ from both sides ***}\\\\x = -\dfrac{1}{4} -\dfrac{\sqrt{33}}{4} \ \ or \ \ x = -\dfrac{1}{4} +\dfrac{\sqrt{33}}{4}

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

4 0
3 years ago
I AM GIVING 45 POINTS TO WHOEVER GETS THIS RIGHT... plz answer corectly and try... i was working on this for sooo long. Plz try
Alexxx [7]
When you have 3 choices for each of 6 spins, the number of possible "words" is
  3^6 = 729

The number of permutations of 6 things that are 3 groups of 2 is
  6!/(2!×2!×2!) = 720/8 = 90

A) The probability of a word containing two of each of the letters is 90/729 = 10/81


The number of permutations of 6 things from two groups of different sizes is
  (2 and 4) : 6!/(2!×4!) = 15
  (3 and 3) : 6!/(3!×3!) = 20
  (4 and 2) : 15
  (5 and 1) : 6
  (6 and 0) : 1

B) The number of ways there can be at least 2 "a"s and no "b"s is
  15 + 20 + 15 + 6 + 1 = 57
The probability of a word containing at least 2 "a"s and no "b"s is 57/729 = 19/243.


_____
These numbers were verified by listing all possibilities and actually counting the ones that met your requirements.
6 0
3 years ago
X=3 and y=4<br>whats the answer to this?<br><img src="https://tex.z-dn.net/?f=6%282x%20%2B%205y%29" id="TexFormula1" title="6(2x
IgorLugansk [536]
6(2x + 5y)
6[2(3) + 5(4)]
6[6 + 20]
6(26)
156

The answer is 156

Hope this helps :)
4 0
3 years ago
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