∠ ABD = 5(2X+1)
∠ DBC = 3X+6
∠ EBC = Y +135/2
∠ ABD and ∠ DBC are linear pairs
∴ ∠ ABD +∠ DBC = 180
∴ 5(2X+1) + 3X+6 =180
solve for x
∴ x = 13
∴∠ ABD = 5(2X+1) = 5(2*13+1) = 135
∠ DBC = 3x+6 = 3*13+6 = 45
∠ ABD and ∠ EBC are vertical angles
∴ ∠ ABD = ∠ EBC = 135
∴ y +135/2 = 135
∴ y = 135/2
The <span>statements that are true:
--------------------------------------</span><span>
C.) x=13
E.)measure of angle EBC =135
F.) angle DBC and angle EBC are linear pairs
</span>
All you need to do is multiply the amount of boys by the distance each boy runs.
9x3/5=5.4 miles
The boys run a combined distance of 5.4 miles.
Answer:
There are 4 ounces of Fiber X cereal in the mix
Step-by-step explanation:
Lets n be the amount of ounces of Fiber X in the mix. Since there are a total of 12 ounces in the mix, then, on terms of n, there are 12-n ounces of Fiber Max on it.
Since 65% of the mix is Fiber, then there are 12*0.65 = 7.8 ounces of Fiber. We can also obtain this value if we take the proportions of Fiber in each cereal of the mix (in terms of n), so that we can obtain the true value of n
we have
7.8 = n *0.55 + (12-n)*0.7 = 0.55n + 8.4 -0.7 n = 8.4-0.15n
Therefore
0.15 n = 0.6
n = 0.6/0.15 = 4
As a consecuence, there are 4 ouces of Fiber X cereal in the mix.
Answer:
Days- 9
Hours- 208
Minutes- 12,459
Step-by-step explanation:
For minutes,
747,533 ÷ 60 = 12,458.883 ≈ 12,459 minutes
For hours,
60 minutes to pass an hour so, 60 × 60 = 3600 minutes
747,533 ÷ 3600 = 207.648 ≈ 208 hours
For days,
1 day = 24 hours
1 hour = 3600 beats
24 × 3600 = 86400
747,533 ÷ 86400 = 8.652 ≈ 9 days
