Answer:
26/36 numbers are greater than 10
Simplify
13/18
Multiply by the chance of getting tails
13/18 x 1/2 = 13/36
13/36 your answer
26 wanted numbers / 36 amount of numbers
1 tails / 2 sides
Step-by-step explanation:
Answer:
∠1 = 142°
<u>reason:</u> angles 1 and 2 are supplementary so they equal 180. 180-38 is 142
∠3 = 38°
<u>reason:</u> angles 2 and 3 are adjacent angles because they are diagonal from each other so they will equal the same measure.
∠4 = 142°
<u>reason:</u> since angle 4 is adjacent to angle 1 and is supplementary to angle 3, it has to be 142
∠5 = 38°
<u>reason:</u> since it is a transversal that means both of the intersections are the same measurements. so angle 5 is 38 since it matches up with angle 2
∠6 = 142°
<u>reason:</u> for the same reason as angle 5. angle 6 matches up with angle 1 so it has to equal 142.
∠8 = 142°
<u>reason:</u> since angle 8 is adjacent to angle 6 it has to equal 142. angle 8 is also a transverse angle to angle 4. and since angle 4 also equals 142, 8 has to also
Step-by-step explanation:
hope this helped you :)
![\boldsymbol{\sf{\dfrac{5}{3}x+4=\dfrac{2}{3}x }}](https://tex.z-dn.net/?f=%5Cboldsymbol%7B%5Csf%7B%5Cdfrac%7B5%7D%7B3%7Dx%2B4%3D%5Cdfrac%7B2%7D%7B3%7Dx%20%20%20%7D%7D)
<em>Subtract</em> 2/3x on both sides.
![\boldsymbol{\sf{\dfrac{5}{3}x+4-\dfrac{2}{3}x=0 }}](https://tex.z-dn.net/?f=%5Cboldsymbol%7B%5Csf%7B%5Cdfrac%7B5%7D%7B3%7Dx%2B4-%5Cdfrac%7B2%7D%7B3%7Dx%3D0%20%20%20%20%7D%7D)
Combine 5/3x and -2/3x to get x.
![\boldsymbol{\sf{x+4=0 }}](https://tex.z-dn.net/?f=%5Cboldsymbol%7B%5Csf%7Bx%2B4%3D0%20%7D%7D)
Subtract 4 from both sides. <em>Any value</em> subtracted from zero results in its negative value.
The complete factorization of the equation 81x² - 100 is; (9x - 10)(9x + 10)
<h3>How to factorize quadratic equations?</h3>
We are given the quadratic equation;
81x² - 100
Now, according to quadratic identities, we know that;
(a + b) * (a - b) = a² - b²
Now, our equation can also be expressed as;
81x² - 100 = 9²x² - 10²
Thus, applying the quadratic identity gives us;
(9x + 10)(9x - 10)
Read more about factorization of quadratic equations at; brainly.com/question/1214333
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Answer:
AD = 14
Step-by-step explanation:
Since AB, and BC are equal, then AD should be equal to DC, therefore, AD = 14. This answer is <em>not</em> positive, this is just my best answer.