Answer:
- 16. 3/8
- 17. 1/8
- 18. 5/18
- 19. 0
- 20. 1
Step-by-step explanation:
<u>As per the spinner we have:</u>
- Green = 1/2 - 1/16 = 7/16
- Red = 1/4
- Purple = 1/8
- Orange, blue, yellow = 1/16
<u>16. P(red, yellow, blue) = ?</u>
- P = 1/4 + 1/16 + 1/16 = 3/8
<u>17. P(orange, yellow) = ?</u>
<u>18. P(green, blue, purple) = ?</u>
- P = 7/16 + 1/16 + 1/8 = 10/16 = 5/8
<u>19. P(pink) = ?</u>
<u>20. P(red, orange, yellow, green, blue, purple) = ?</u>
- P = 1 as all possible colors selected
The hypotenuse is always the biggest side of a right traingle.
Concidering that B=A it would appear on the same location.
the key is to get y by itself.
5y=-1x
divide each side by 5
y=-1/5x
now plug in that for y in the second equation
10(-1/5)=-2x
combine your like terms
-2=-2x
then divide each side by -2
x=1
now put them in an ordered pair.
(1,-1/5)
m∠a = 56°, m∠b = 34°, m∠c = 56°
Solution:
<em>Sum of the adjacent angles in a straight line is 180°.</em>
⇒ m∠a + 124° = 180°
⇒ m∠a = 180° – 124°
⇒ m∠a = 56°
∠a and ∠c are vertically opposite angles.
Vertical angle theorem:
<em>If two lines are intersecting, then the vertically opposite angles are congruent.</em>
⇒ ∠a ≅ ∠c
⇒ m∠a = m∠c
⇒ m∠c = 56°
<em>Sum of the adjacent angles in a straight line is 180°.</em>
m∠b + 90° + m∠c = 180°
m∠b + 90° + 56° = 180°
m∠b + 146° = 180°
m∠b = 180° – 146°
m∠b = 34°
Hence m∠a = 56°, m∠b = 34°, m∠c = 56°.
