Answer:
2/5
Step-by-step explanation:
no. of even cards , n(E) = 4
Total no. of cards , n(S) = 10
Probability of getting even card, P(E) =n(E)/ n(S)
= 4/10
=2/5
Answer:
base = 17.71 ft
height = 9.71ft
Step-by-step explanation:
Since we are not given the base and heigh directly, to answer this question we need two equations: (1) one to express the area (A) of a triangle, and (2) one describing the fact that height (h) and the base (b) lengths are related. Setting up and solving the system of these two equations for base leads to a quadratic equation:
which has two solutions but one is negative, i.e., not applicable. The good solution for base is .
Since we know the height is 8 ft less than the base, the height must be 9.71ft
Answer:
1. <AOB and <XOZ are vert. <'s 1. Given
m<AOB = 80 m<XOZ = 6x+5
2. m<AOB = m<XOZ 2. Vertical <'s are congruent
3. 80 = 6x+5 3. Substitution
4. 75 = 6x 4. Subtraction Property of equality
5. 12.5 = x 5. Division Property of equality
Step-by-step explanation:
Answer: it is 3 • (x + 4)
Step-by-step explanation: We move all terms to the left:
4-2x+8-(+5x)=0
We add all the numbers together, and all the variables
-2x-(+5x)+12=0
We get rid of parentheses
-2x-5x+12=0
We add all the numbers together, and all the variables
-7x+12=0
We move all terms containing x to the left, all other terms to the right
-7x=-12
x=-12/-7
x=1+5/7We move all terms to the left:
4-2x+8-(+5x)=0
We add all the numbers together, and all the variables
-2x-(+5x)+12=0
We get rid of parentheses
-2x-5x+12=0
We add all the numbers together, and all the variables
-7x+12=0
We move all terms containing x to the left, all other terms to the right
-7x=-12
x=-12/-7
x=1+5/7