Answer:
m∠1 = 50°, m∠2 = 90°, m∠3 = 40°, and m∠4 = 50°
Step-by-step explanation:
Step-by-step explanation:
Angles on straight line are equal;
m \angle1 + 130 = 180
m \angle1= 180 - 130 \\ m \angle1= 50
Vertical angles are equal,
m \angle4= m \angle \: 1= 50 \degree
Complementary angles add up to 90°.
m \angle3 + m \angle4 = 90 \degree \\ 40 + m \angle3 = 90 \degree. \\ m \angle3 = 90 \degree - 50 \degree \\ m \angle3 = 40 \degree
Angles on straight line adds up to 180°
m \angle1 + m \angle2 + m \angle3 = 180 \degree
40 + m \angle2 + 50 = 180 \\ m \angle2 = 180 - 50 - 40 = 90
Answer:
8 hours
Step-by-step explanation:
If he writes 2 pages a hour and needs 16 pages, then you would have to divide 16 by 2 which is 8.
To double check that, you can multiply 8 by 2 which is 16.
You answer is 5 hours.
Answer:
The error bound is of 13.5 corn kernels.
Step-by-step explanation:
Any confidence interval has a lower bound and an upper bound. The error bound is the difference between the values of those two bounds, divided by 2.
In this problem, we have that:
Lower bound: 858.50
Upper bound: 885.50
Error bound: (885.50-858.50)/2 = 13.5
The error bound is of 13.5 corn kernels.
<h3>
Answer:</h3><h3>x=−8</h3><h3 />
Step-by-step explanation:
<h3>Let's solve your equation step-by-step.</h3>
−3x+10=34
<h3>Step 1: Subtract 10 from both sides.</h3>
−3x+10−10=34−10
−3x=24
<h3>Step 2: Divide both sides by -3.</h3><h3 />
−3x/−3 = 24/−3
<h3>x=−8</h3>
So we will be using dimensional analysis to solve it as such:
![\frac{23843\ kL}{1}*\frac{1000\ L}{1\ kL}*\frac{1\ Gal}{3.79\ L}=\frac{23843000}{3.79}=6291029.02\ Gallons](https://tex.z-dn.net/?f=%20%5Cfrac%7B23843%5C%20kL%7D%7B1%7D%2A%5Cfrac%7B1000%5C%20L%7D%7B1%5C%20kL%7D%2A%5Cfrac%7B1%5C%20Gal%7D%7B3.79%5C%20L%7D%3D%5Cfrac%7B23843000%7D%7B3.79%7D%3D6291029.02%5C%20Gallons%20)
In short, 23,843 kL is 6,291,029.02 (6,291,029 rounded to the whole gallon) gallons.