Answer:
<h2>
143°</h2>
Step-by-step explanation:
<A and <B are corresponding angles
< A = < B
plugging the values
![7x + 24 = 3x + 92](https://tex.z-dn.net/?f=7x%20%2B%2024%20%3D%203x%20%2B%2092)
Move variable to L.H.S and change its sign
![7x - 3x + 24 = 92](https://tex.z-dn.net/?f=7x%20-%203x%20%2B%2024%20%3D%2092)
Move constant to R.H.S and change its sign
![7x - 3x = 92 - 24](https://tex.z-dn.net/?f=7x%20-%203x%20%3D%2092%20-%2024)
Calculate
![4x = 68](https://tex.z-dn.net/?f=4x%20%3D%2068)
Divide both sides of the equation by 4
![\frac{4x}{4} = \frac{68}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B4x%7D%7B4%7D%20%20%3D%20%20%5Cfrac%7B68%7D%7B4%7D%20)
Calculate
![x = 17](https://tex.z-dn.net/?f=x%20%3D%2017)
Replacing value
<A = ![7x + 24](https://tex.z-dn.net/?f=7x%20%2B%2024)
![= 7 \times 17 + 24](https://tex.z-dn.net/?f=%20%3D%207%20%5Ctimes%2017%20%2B%2024)
![= 119 + 24](https://tex.z-dn.net/?f=%20%3D%20119%20%2B%2024)
![= 143](https://tex.z-dn.net/?f=%20%3D%20143)
hope this helps...
Complete Question
A certain university estimated that the proportion of students who prefer 2 day a week classes to 1 day a week classes was somewhere in the interval (0.451, 0.872) . If a 95% confidence interval was used, find the point estimate of the proportion and the margin of error
Answer:
The point estimate is ![\^ p =0.6615](https://tex.z-dn.net/?f=%5C%5E%20p%20%3D0.6615)
The margin of error is ![E = 0.2105](https://tex.z-dn.net/?f=E%20%3D%200.2105)
Step-by-step explanation:
From the question we are that
The estimate of the proportion of students who prefer 2 day a week classes to 1 day a week classes is (0.451, 0.872)
Generally the point estimate is mathematically represented as
![\^ p = \frac{ 0.872 + 0.451 }{2}](https://tex.z-dn.net/?f=%5C%5E%20p%20%3D%20%5Cfrac%7B%200.872%20%2B%200.451%20%7D%7B2%7D)
=> ![\^ p =0.6615](https://tex.z-dn.net/?f=%5C%5E%20p%20%3D0.6615)
Generally the margin of error is mathematically represented as
![E = \frac{0.872 - 0.451}{2}](https://tex.z-dn.net/?f=E%20%3D%20%20%5Cfrac%7B0.872%20-%200.451%7D%7B2%7D)
=> ![E = 0.2105](https://tex.z-dn.net/?f=E%20%3D%200.2105)
Since there are 4 numbers greater than 2 you can say that you have a 4 out of 6 chance
Step-by-step explanation:
mass of the object=m=4 kg
the net force exerted on it=F=24N=kgm/s²
the acceleration of the object=a=?
formula for calculating the acceleration=
F=ma
plug in the values
24kgm/s²=4kga
divide each side by 4
24kgm/s²/4 kg=4kga/4kg
a=6m/s²
Answer:
Step-by-step explanation:
Convert mixed fraction to improper fraction.
÷
÷ ![\frac{5}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B4%7D)
In fraction division, Use KCF method
K - Keep the first fraction
C - Change the ÷ operation to * operation
F - Flip the second fraction
![= \frac{9}{2}*\frac{4}{5}\\\\= \frac{9}{1}*\frac{2}{5}\\\\=\frac{18}{5}\\\\= 3\frac{3}{5}](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B9%7D%7B2%7D%2A%5Cfrac%7B4%7D%7B5%7D%5C%5C%5C%5C%3D%20%5Cfrac%7B9%7D%7B1%7D%2A%5Cfrac%7B2%7D%7B5%7D%5C%5C%5C%5C%3D%5Cfrac%7B18%7D%7B5%7D%5C%5C%5C%5C%3D%203%5Cfrac%7B3%7D%7B5%7D)