Answer:
The equations should have been added up to equal 180 instead of being set to equal each other. The two are supplementary angles, which can be seen due the rule that a pair of interior angles on the same side of the transversal is supplementary. To fix this issue from the work that they did, they should subtract the 140 from 180, so the correct measure of DKH is actually 40 degrees.
Step-by-step explanation:
Answer: ![\frac{2x\sqrt[4]{y^{2}}}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B2x%5Csqrt%5B4%5D%7By%5E%7B2%7D%7D%7D%7B3%7D)
Step-by-step explanation:
![\sqrt[4]{\frac{16}[81}} \sqrt[4]{\frac{x^{11}y^{8}}{x^{7}y^{6}}}\\\\=\frac{2}{3} \sqrt[4]{x^{4}y^{2}}\\\\=\frac{2x\sqrt[4]{y^{2}}}{3}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B%5Cfrac%7B16%7D%5B81%7D%7D%20%5Csqrt%5B4%5D%7B%5Cfrac%7Bx%5E%7B11%7Dy%5E%7B8%7D%7D%7Bx%5E%7B7%7Dy%5E%7B6%7D%7D%7D%5C%5C%5C%5C%3D%5Cfrac%7B2%7D%7B3%7D%20%5Csqrt%5B4%5D%7Bx%5E%7B4%7Dy%5E%7B2%7D%7D%5C%5C%5C%5C%3D%5Cfrac%7B2x%5Csqrt%5B4%5D%7By%5E%7B2%7D%7D%7D%7B3%7D)
Answer:
<u>y=6x-4</u>
Step-by-step explanation:
<u>What we know</u>
- the slope is 6
- our point is (-9,-58)
-9 is x and -58 is y so we have to find the y-intercept y=mx+b is also the formula for this
-58=6(-9)+b
-58=-54+b
-58=54+b - we changed -54 to a positive 54
54-58=-4
y=6x-4
Answer
Exterior,18°
Interior,162°
Step-by-step explanation:
To calculate exterior,360°÷no of sides, i.e
360°÷20=18°
Interior is gotten by 180°-exterior angle
180°-18°=162°
Answer: $6,000
Step-by-step explanation: If set up correctly, the value of the car at the end of 2006 times 0.6 (because the car is losing 0.4 of its value, so it keeps 0.6 of its value) should get you the value of the car at the end of 2007.
The equation should look like this:
(value of the car at the end of 2006) x 0.6 = (value of the car at the end of 2007)
Then you substitute: (value at the end of 2006) x 0.6 = 3600
Then divide: (value at the end of 2006) = 0.6 ÷ 3600
Then substitute again: (value at the end of 2006) = 6,000
Hope this helped you! Feel free to ask me any questions!
