Both angles have a measure of 125°.
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How to find the measure of the angles?</h3>
Assuming the two horizontal lines are parallel, we know that the measure of the two indicated angles must be the same one.
Then:
-1 + 14x = 12x + 17
Now we need to solve this for x:
14x - 12x = 17 + 1
2x = 18
x =18/2 = 9
Now that we know the value of x we can replace it in any of the expressions for the angles:
-1 + 14*9 = 125°
Both angles have a measure of 125°.
If you want to learn more about angles:
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Answer:
14.8 cubic units
Step-by-step explanation:
The volume of the right pyramid can be calculated using formula
![V_{pyramid}=\dfrac{1}{3}\cdot A_{base}\cdot height.](https://tex.z-dn.net/?f=V_%7Bpyramid%7D%3D%5Cdfrac%7B1%7D%7B3%7D%5Ccdot%20A_%7Bbase%7D%5Ccdot%20height.)
You are given
![A_{base}=7.4\ un^2.\\ \\height=6\ un.](https://tex.z-dn.net/?f=A_%7Bbase%7D%3D7.4%5C%20un%5E2.%5C%5C%20%5C%5Cheight%3D6%5C%20un.)
Then
![V_{pyramid}=\dfrac{1}{3}\cdot 7.4\cdot 6=2\cdot 7.4=14.8\ un^3.](https://tex.z-dn.net/?f=V_%7Bpyramid%7D%3D%5Cdfrac%7B1%7D%7B3%7D%5Ccdot%207.4%5Ccdot%206%3D2%5Ccdot%207.4%3D14.8%5C%20un%5E3.)
Answer:
When finding these problems we always have to do the opposite of the operation shown.
In this case its:
5x + 15 = 45
Subtract 15 from both sides (we start off with constants and numbers that are being shown) The reason why its subtraction is because since your adding 15 to 5x the opposite of that is subtraction so use the number shown by itself and subtract it from both sides.
5x = 30
Divide by 5 on both sides since the opposite of 5x is division (only use the number that is shown) We have to get rid of all the numbers on the left.
therefore you'll be left with:
X = 6