Answer:
x=80°
Step-by-step explanation:
Triangles always add up to 180°.
As you have 2 angles, you would have to add them together and then take it away from 180° to get your answer.
50+50=100°
180-100=80°
Hope this helps :)
Answer:
243 in²
Step-by-step explanation:
Step 1. Calculate the<em> base and height </em>of the rectangle
We have two conditions:
(1) 2b+ 2h = 72 in
(2) b = 3h Substitute in (1)
2(3h) + 2h = 72 Remove parentheses
6h + 2h = 72 Combine like terms
8h = 72 Divide by 6
h = 9 in Substitute in(2)
b = 3 × 9
b = 27 in
Step 2. Calculate the area of the rectangle
A = bh
A = 27 × 9
A = 243 in²
The area of the rectangle is 243 in².
Answer:
6 days
Step-by-step explanation:
First, we make common denominators:
3 *2 = 6
_ -> _
4 *2 = 8
and we get 6/8
6/8 divided by 1/8 will be 6 days
Answer:
x =±2 sqrt(6)
Step-by-step explanation:
x^2 = 24
Take the square root of each side
sqrt(x^2) = sqrt(24)
x = ±sqrt(4*6)
x =±sqrt(4) sqrt(6)
x =±2 sqrt(6)
<u>Answer</u>:
18 clips for $7.38 is the best value deal.
<u>Step-by-step explanation:</u>
An office is restocking office supplies. The table below shows the cost for the number of boxes of paperclips. We need to find what is the best value is.
To find the best value for money we can check the price of each paperclip.
To check the price of each paper clip we can use the following formula:
![\text{Price of each paper clip} =\frac{\text { price of the box }} {{\text {number of clips in the box }}}](https://tex.z-dn.net/?f=%5Ctext%7BPrice%20of%20each%20paper%20clip%7D%20%3D%5Cfrac%7B%5Ctext%20%7B%20price%20of%20the%20box%20%7D%7D%20%7B%7B%5Ctext%20%7Bnumber%20of%20clips%20in%20the%20box%20%7D%7D%7D)
Now we can calculate the best value deal as follows:
![\text{Price of each clip is box 1}=\frac{7.38}{18}=0.41$](https://tex.z-dn.net/?f=%5Ctext%7BPrice%20of%20each%20clip%20is%20box%201%7D%3D%5Cfrac%7B7.38%7D%7B18%7D%3D0.41%24)
![\text{Price of each clip is box 2}=\frac{15.39}{27}=0.57$](https://tex.z-dn.net/?f=%5Ctext%7BPrice%20of%20each%20clip%20is%20box%202%7D%3D%5Cfrac%7B15.39%7D%7B27%7D%3D0.57%24)
![\text{Price of each clip is box 3}=\frac{13.50}{30}=0.45$](https://tex.z-dn.net/?f=%5Ctext%7BPrice%20of%20each%20clip%20is%20box%203%7D%3D%5Cfrac%7B13.50%7D%7B30%7D%3D0.45%24)
![\text{Price of each clip is box 4}=\frac{18.36}{36}=0.51$](https://tex.z-dn.net/?f=%5Ctext%7BPrice%20of%20each%20clip%20is%20box%204%7D%3D%5Cfrac%7B18.36%7D%7B36%7D%3D0.51%24)
![\text{Price of each clip is box 5}=\frac{18.80}{40}=0.47$](https://tex.z-dn.net/?f=%5Ctext%7BPrice%20of%20each%20clip%20is%20box%205%7D%3D%5Cfrac%7B18.80%7D%7B40%7D%3D0.47%24)
So, from looking at the prices of each paperclip we can conclude that the 18 clips for $7.38 is the best value deal.