First, because 13x-85 and 97 are across from each other like that, you know that they are equal to each other. If you solve, you know that x is equal to 14. Then, you know that all the angles must equal 360 degrees. If you add 97 and 97 together, you get 194. Now, subtract that by 360, and you get the remaining degrees of the other two angles. Then, divide that by two, and z equals 83. Hope this helped!
<h3>
Answer:</h3>
<u>It squares the amount you scaled it by.</u>
<h3>
Step-by-step explanation:</h3>
For example, imagine that you had 2 by 2 square, and then you put it through a scale factor of 2.
Now each side length would be double of what it once was.
But when you multiply the new lengths together, the area would be of 4 times more.
(Original Equation) 2 * 2 = 4
(Scale Factor of 2) 4 * 4 = 16
So when the scale factor is made, the area would be squared to the multiple that you scaled it by.
<em>***A square root is a number times itself.</em>
<em>(eg): 3 * 3 = </em><em>9</em>
<em> 15 * 15 = </em><em>225</em>
<em>9 and 225 would be the square root in these problems.</em>
Answer:
, ](https://tex.z-dn.net/?f=%5B16%20%2B%20%28-18%29%5D%28-4%29)
Step-by-step explanation:
Given: The low temperature on Monday was 16°F. The low temperature on Tuesday was 18°F cooler. The low temperature on Wednesday was –4 times Tuesday’s temperature.
To find: expression that can be used to describe the low temperature on Wednesday
Solution:
Temperature on Monday = 16°F
So,
Temperature on Tuesday = 
Temperature on Wednesday = 
So, expression
can be used to describe the low temperature on Wednesday.
Also,
\,\,\left \{\because (a-b)=\left [ a+(-b) \right ] \right \}](https://tex.z-dn.net/?f=%2816-18%29%28-4%29%3D%5B16%20%2B%20%28-18%29%5D%28-4%29%5C%2C%5C%2C%5Cleft%20%5C%7B%5Cbecause%20%20%28a-b%29%3D%5Cleft%20%5B%20a%2B%28-b%29%20%5Cright%20%5D%20%5Cright%20%5C%7D)
So, expression
also represent temperature on Wednesday.
A + b = 15 ..... eq 1
a – b = 12 ...... eq 2
So a = 15 – b
Substitute in eq 2 :
15 – b – b = 12
15 – 2b = 12
–2b = 12 – 15
b = 1.5
So a = 15 – 3/2 = 13.5
4ab = 4 x 13.5 x 1.5 = 81
Answer:
11/20 is simplified 44/80
Step-by-step explanation:
hope it helps.