<h3>
Answer: 13/28</h3>
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Reason:
The table shows he got 26 heads out of 26+30 = 56 coin flips.
26/56 = (2*13)/(2*28) = 13/28 is the empirical or experimetnal probablity of getting heads.
Side note: 13/28 = 0.4643 = 46.43% approximately which is fairly close to 50%
8 coins = $0.93
3 quarters = $0.75
1 dime = $0.10
1 nickel = $0.05
3 pennies = $0.03
3 + 1 + 1 + 3 = 8 coins
$0.75 + $0.10 + $0.05 + $0.03 = $0.93
Answer:
x = 13
Step-by-step explanation:
Given that Δ NML and Δ PST are similar right triangles, we can set up the following proportional statement to establish their relationship:


Cross multiply:
8(x + 2) = 10 (x - 1)
8x + 16 = 10x - 10
Subtract 8x from both sides:
8x - 8x + 16 = 10x - 8x - 10
16 = 2x - 10
Add 10 to both sides:
16 + 10 = 2x - 10 + 10
26 = 2x
Divide both sides by 2:

13 = x
Verify whether x = 13 is the correct value:




This shows the proportional relationship between
, and that ΔNML and ΔPST are indeed similar right triangles.
Therefore, the correct answer is x = 13.
Distribute
2z-1=z+8-2z
add like terms
2z-1=-z+8
add z to both sides
3z-1=8
add 1 to both sides
3z=9
divide both sides by 3
z=3