Answer:
HK=42°
Step-by-step explanation:
because the arc of HK is two time bigger than HLK measurement
HLK=1/2HK
21°=1/2HK cross production
HK=2×21°
HK=42°
Answer:
The simplest form of the given expression (2y/y + 2) + (4/y + 2) is
6 + 4y
Step-by-step explanation:
It is given an expression in variable y
(2y/y + 2) + (4/y + 2)
<u>To find the simplest form</u>
(2y/y + 2) + (4/y + 2) = 2y/y + 2 + 4y + 2
= 2 + 2 + 4y + 2
= 6 + 4y
Therefore the simplest form of the given expression is 6 + 4y
Answer:
y – 4 = –1 (x – 2)
y – 7 = –1 (x – (–1))
y = –x + 6
Step-by-step explanation:
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:
Between 2 and 3
Step-by-step explanation:
Since 8 divided 3 = 2.666667 thus it must be between 2 and 3