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The answer is B.
∴Explanation
3 bags of apples and 2 pounds of grapes,
1 bag of apple equals with 4 pounds of grapes
1) We first multiply the 3 bags of apples with the 4 pounds that one bag equals with.
2) Then we add to the product in order to find the total pounds.
1] 3 x 4 = 12
2] 12 + 2 =14
Therefore the answer is B.
A 360 degrees counter-clockwise rotation will bring the triangle at the same place.
So, divide 1980 by 360 and find the remainder.
On dividing, we can find that
1980 = 5(360) + 180
A 1800 degrees rotation will rotate the triangle 5 times and will bring it in the same place.
A further 180 degrees rotation will rotate the triangle to two quadrants back and will bring it in the first quadrant.
<h3>Answer: 32 degrees</h3>
================================
Work Shown:
Inscribed angle theorem
arc measure = 2*(inscribed angle)
arc ABC = 2*(angle D)
arc ABC = 2*(35)
arc ABC = 70 degrees
-------------
break arc ABC into its smaller pieces
(minor arc AB)+(minor arc BC) = arc ABC
(38)+(minor arc BC) = 70
minor arc BC = 70-38
minor arc BC = 32
Answer:
The slope of the line is
.
Step-by-step explanation:
We are given two coordinate points:
We are asked to find the slope of the line.
We can use the rise-over-run formula to solve for the slope of the line.
![\displaystyle \text{slope} = \frac{\text{rise}}{\text{run}}\\\\\text{slope} = \frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Ctext%7Bslope%7D%20%3D%20%5Cfrac%7B%5Ctext%7Brise%7D%7D%7B%5Ctext%7Brun%7D%7D%5C%5C%5C%5C%5Ctext%7Bslope%7D%20%3D%20%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
However, we firstly need to name our coordinate points.
In math, we can label our coordinates using the following label system:
![(x_1, y_1), (x_2, y_2)](https://tex.z-dn.net/?f=%28x_1%2C%20y_1%29%2C%20%28x_2%2C%20y_2%29)
Therefore, we can also label our coordinates as such:
Now, we can supply these values into the formula and solve for our slope, or a better known variable, <em>m</em>.
![\displaystyle m = \frac{1 - 2}{9 - 4}\\\\m = \frac{-1}{5}\\\\m = -\frac{1}{5}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20m%20%3D%20%5Cfrac%7B1%20-%202%7D%7B9%20-%204%7D%5C%5C%5C%5Cm%20%3D%20%5Cfrac%7B-1%7D%7B5%7D%5C%5C%5C%5Cm%20%3D%20-%5Cfrac%7B1%7D%7B5%7D)
Therefore, our slope is
.