Answer:
See below.
Step-by-step explanation:
7.)
Supplementary angles add up to 180°. ∠B's supplement is 22°. This means ∠B is 158°. Since ∠A ≅ ∠B, the m∠A = 158°.
8.)
Again, supplementary angles add up to 180°. ∠P is a right angle meaning it is 90°. Therefore, the m∠Q is 90° as well.
9.)
Complementary angles add up to 90°. In order for ∠S and ∠T to be complementary, they both need to angle measurements less than 90° meaning they both need to be acute angles.
Now that we know that ∠T is acute, the only way ∠U can be its supplement is if it has an angle measure greater than 90°. Therefore, ∠U is an obtuse angle.
10.)
Similar to question 9, if an angle is obtuse, its supplement must be an acute angle.
Answer:
3/8 of the box is left so 6 ounces is left.
Step-by-step explanation:
Make the 1/4, 2/8 then add 2/8 by 3/8 to get 5/8 then subtract 8/8 by 5/8 to get 3/8 then multiply it by 2 to get 6/16.
So the answer is 6/16 or 6.
The dimensions should be 1 2/3 feet by 1 1/2 feet.
To find these amounts, we simply multiply the length of the snake by the given fraction.
For the length, multiply by 2/3.
For the width, multiply by 1/2.
Supplementary angles are when both angles sum up to 180
So,
G is 20%*K, so convert to decimals hence,
0.20*k
Hence
0.20*K + K = 180 degrees