Given:

m∠2 is 19° more than m∠1.
To find:
The value of m∠1.
Solution:
Let the measure of ∠1 be x.
Then, 
, it means the sum of m∠1 and m∠2 is 109°.





Divide both sides by 2.


Therefore, the value of m∠1 is 45°.
Answer:
The volume of the shape is 560 ft^3
Step-by-step explanation:
To find the volume of the figure, we need to multiply the base area by the height of the figure
mathematically, we have the base area as a rectangular shape and its area is the product of its side lengths
We have this as 8 ft * 10 ft = 80 ft^2
So multiplying this by the height which is 7 ft, we have this as;
7 ft * 80 ft^2 = 560 ft^3
0.78 because 21.06 divided by 9 is 2.34 and divide by three because you have to make three sculptures so you get 0.78 :)
divide the fraction
round by 100th place
23 67/100
Answer:

Step-by-step explanation:
Cosine is the adjacent side over the hypotenuse (You can remember sin, cos, and tan by using sohcahtoa or sin = opposite/hypotenuse, cos = adjacent/hypotenuse, tan = opposite over adjacent). I think a picture would help, too.
I attached a picture of what I think the triangle would look like.
If the picture is right (we're assuming it is) and going with what we're given (the triangle was addressed as triangle XYZ, meaning that <u>angle Y is in the middle and that's the one we'll use</u>).
Looking at my picture then:
.