Hi there!
Since the triangle is equilateral, all of its sides are congruent. This means that to solve, we can set the two given equations equal to each other.
2(x - 8) = 1/2x + 8
2x - 16 = 1/2x + 8
1.5x - 16 = 8
1.5x = 24
x = 16
Now that we know what x is, we can plug that in for x in the equation for ZY.
2(16 - 8) = ZY
ZY = 2(8)
ZY = 16 units
And here is the work to show that XZ is also 16.
1/2(16) + 8 = XZ
XZ = 8 + 8
XZ = 16
Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
I would answer, but you didn't give any options.
Distance traveled = 70 m
Number of rotations = 29
We know, Circumference * Number of rotations = Distance traveled
So, C = 70 / 29
C = 2.41 m
Now, we know, diameter = C / π
So, d = 2.41/3.14 = 0.768
In short, Your Answer would be: 0.8 m
Hope this helps!
There are two possible answers: 72 and 90.
We can find the answer by looking at the largest number among the three of them: 18. The only multiples of 18 between 61 and 107 are 72 and 90. We can check that both numbers are also multiples of 6 and 9:
90 : 6 = 15
90 : 9 = 10
72 : 6 = 12
72 : 9 = 8
9514 1404 393
Answer:
1/3, 0.5, 4/6, 4/5
Step-by-step explanation:
For the same numerator, the fraction with the larger denominator is the smaller fraction.
0.5 = 1/2
So, we have two fractions with numerators of 1, and two fractions with numerators of 4. The smaller fraction with a numerator of 4 has a numerator that is more than half the denominator, so its value is more than 1/2.
The least-to-greatest order is ...
1/3, 1/2, 4/6, 4/5
In the original number format, this is ...
1/3, 0.5, 4/6, 4/5
