Correct answer: A) A = the card is red, B = the card is black
Because mutually exclusive means "cannot occur simultaneously."
The other choices all can occur together.
the angles on the opposite sides of a quadrilateral touching the circumference adds up to 180 degrees
so,
(21x-2) + (38x +5) = 180
21x+38x −2+5=180
59x+3=180
59x=177
x=3
Answer:
x = 2
Explanation:
2(x+2)-5=3(x-1)
1) Use distributive property (multiply the 2 by x+2 and the 3 by x-1)
2x+4-5=3x-3
2) Combine like terms
2x-1=3x-3
3) Subtract 2x on both sides
-1=x-3
4) Add 3 on both sides
2=x
hope this helps!
Answer:
Therefore,
The height is 23.3 ft.
Step-by-step explanation:
Given:
ΔABC ~ ΔXYZ
AC = 108.5 ft
BC = h
XZ = 14 ft
YZ = 3ft
To Find:
h = ?
Solution:
Δ ABC ~ Δ XYZ….Given
If two triangles are similar then their sides are in proportion.
Substituting the values we get

(nearest tenth)
Therefore,
The height is 23.3 ft.