Answer:
Step-by-step explanation:
1. 56 + 81 = 137
2. The exterior angle theorem means that the 2 angles within a triangle that is on the opposite side of the angle outside the triangle could be added to find the angle that is outside of the triangle.
3. 56 and 81 are on the opposite side of the "x" outside the triangle which means that they could be added together which equals 137 degrees.
Hope this helps!
Answer:
x=7, x=3
Step-by-step explanation:
![x^{2} -8x+14=2x-7](https://tex.z-dn.net/?f=x%5E%7B2%7D%20-8x%2B14%3D2x-7)
![x^{2} -8x-2x+14+7=0](https://tex.z-dn.net/?f=x%5E%7B2%7D%20-8x-2x%2B14%2B7%3D0)
![x^{2} -10x+21=0](https://tex.z-dn.net/?f=x%5E%7B2%7D%20-10x%2B21%3D0)
![\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}](https://tex.z-dn.net/?f=%5Cmathrm%7BFor%5C%3Aa%5C%3Aquadratic%5C%3Aequation%5C%3Aof%5C%3Athe%5C%3Aform%5C%3A%7Dax%5E2%2Bbx%2Bc%3D0%5Cmathrm%7B%5C%3Athe%5C%3Asolutions%5C%3Aare%5C%3A%7D)
![\frac{-b\pm \sqrt{b^2-4ac}}{2a}](https://tex.z-dn.net/?f=%5Cfrac%7B-b%5Cpm%20%5Csqrt%7Bb%5E2-4ac%7D%7D%7B2a%7D)
positive
![x=\frac{-\left(-10\right)+\sqrt{\left(-10\right)^2-4\cdot \:1\cdot \:21}}{2\cdot \:1}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-%5Cleft%28-10%5Cright%29%2B%5Csqrt%7B%5Cleft%28-10%5Cright%29%5E2-4%5Ccdot%20%5C%3A1%5Ccdot%20%5C%3A21%7D%7D%7B2%5Ccdot%20%5C%3A1%7D)
![x=7](https://tex.z-dn.net/?f=x%3D7)
negative
![x=\frac{-\left(-10\right)-\sqrt{\left(-10\right)^2-4\cdot \:1\cdot \:21}}{2\cdot \:1}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-%5Cleft%28-10%5Cright%29-%5Csqrt%7B%5Cleft%28-10%5Cright%29%5E2-4%5Ccdot%20%5C%3A1%5Ccdot%20%5C%3A21%7D%7D%7B2%5Ccdot%20%5C%3A1%7D)
![x=3](https://tex.z-dn.net/?f=x%3D3)
Answer:
Total number of outcomes = 23
number of biology and art students = 2
number of biology students = 2
Since it is given that all the students study art,
number of possible outcomes = 2
probability = number of favorable outcomes/number of total outcomes.
= 2/23
Therefore probability that the selected student studies both art and biology is 2/23.
Answer:
328.5 cm
Step-by-step explanation:
Volume= L x W x H
10 x 4.5 x 7.3= 328.5
:))
Hi
First dont panic. this one is pretty easy.
you known that the perimeter is the addition of every sides of a figure.
you have the total perimeter : 84.6
so now you just have to withdraw every side you have to the total , and the missing measure will be the result.
have a try ! you can make it.