Answer:
A,C,D,E
Step-by-step explanation:
The first one is true because in fact, supplementary angles' measures add up to 180°.
The second one is false because there are 5 types, not 3. These are the types:
acute angle-an angle between 0 and 90 degrees.
right angle-an 90 degree angle.
obtuse angle-an angle between 90 and 180 degrees.
straight angle-a 180 degree angle.
reflex angle- a angle between 180 and 360 degrees.
Third is true too because linear pair means two angles that form a straight line, or 180°.
Fourth is true because straight Angle theorem states that all the straight angles are 180 degrees. If the legs are pointing exactly in the opposite directions, then it forms a straight angle.
Last one is true because by definition complementary angles always form a right angle, which is 90°.
Hope it helps!
She will use 42 purple beads.
Explanation
We will use a proportion to solve this.
The ratio of blue to purple beads is 4:3, or 4/3.
We know she uses 56 blue beads and an unknown amount, x, of purple beads. This gives us 56/x.
Together, we have
4/3 = 56/x
Cross multiply:
4*x = 3*56
4x = 168
Divide both sides by 4:
4x/4 = 168/4
x = 42
