Answer:
x = 110
Step-by-step explanation:
measure of abd is 35, meaning adb is also 35.
so dab + abd + adb is 180
=> x + 35 + 35 = 180
=> x + 70 = 180
=> x = 180-70
=> x = 110
110 degrees is the value of x.
Answer:
The distance between A and D to the nearest tenth is;

Explanation:
Given the two points;

Applying the distance between two points formula;
![d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%5B%5D%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
substituting the given coordinates we have;
![\begin{gathered} AD=\sqrt[]{(-3-6)^2+(-2-2)^2} \\ AD=\sqrt[]{(-9)^2+(-4)^2} \\ AD=\sqrt[]{81+16} \\ AD=\sqrt[]{97} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20AD%3D%5Csqrt%5B%5D%7B%28-3-6%29%5E2%2B%28-2-2%29%5E2%7D%20%5C%5C%20AD%3D%5Csqrt%5B%5D%7B%28-9%29%5E2%2B%28-4%29%5E2%7D%20%5C%5C%20AD%3D%5Csqrt%5B%5D%7B81%2B16%7D%20%5C%5C%20AD%3D%5Csqrt%5B%5D%7B97%7D%20%5Cend%7Bgathered%7D)
Simplifying;

Therefore, the distance between A and D to the nearest tenth is;
The question is asking us to find the sum. To do this, let's first write the original equation and then take it from there.

<span>
Use distributive property:
</span>

Combine Like Terms:

Therefore, the answer to your question is
-4x² + 3x + 4. Hope this helps and have a fantastic day!
Answer:
12 rolls
Step-by-step explanation:
Jason wants to cut roll into pieces that are each 1/2 inches thick. 1/2 is equal to 0.5, so thickness of each roll is 0.5 inches
Total length of the roll is 6 inches. We have to find how many small 0.5 inch rolls can he cut.
In simple words we can say that we have to find: how many 0.5 inches can be out from 6 inches. This type of problem is solved by division. Dividing 6 inches by 0.5 inches will give us: How many 0.5 inches can be cut out from 6 inches i.e. how many 0.5 inches roll can be made from 6 inches roll
6 divided by 0.5 is 12.
This means Jason can cut 12 rolls of sausages each with thickness of 0.5 inches from a roll of 6 inches.