Answer:
7) BC = 10
8) BD = 20
Step-by-step explanation:
7) The segment addition theorem tells you ...
AB +BC +CD = AD
(3x+2) +(2x+4) +(3x-2) = 28
8x +4 = 28 . . . . collect terms
8x = 24 . . . . . . . subtract 4
x = 3 . . . . . . . . . divide by 8
BC = 2x+4 = 2(3) +4
BC = 10
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8) AB +BD = AC +CD
(2x -14) +(-7 +3x) = (2x -3) +(9)
5x -21 = 2x +6
3x = 27
x = 9
BD = -7 +3x = -7 +3(9)
BD = 20
150/4 = 37.5cm. You divide by four because there are four sides on a rectangle. But 37.5 is the cm of a square. Since it says one of the sides is 15cm greater, you subtract 37.5 - 15 = 27.5cm on 2 of the width. While the other 2 lengths are greater than the width by 15 cm, so you add 15 to 37.5 which gives you 52.5cm. So the 2 width are 27.5cm and the length is 52.5cm.
Answer:
option 2
Step-by-step explanation:
they have the same shape AND angle meaning they are more so similar than other options
Answer:
About 2.17 feet.
Step-by-step explanation:
Let <em>d</em> represent the diameter of the tire.
Then the circumference of the tire will be:

So, the tire will travel dπ miles after one rotation.
After 775 rotations, the total miles traveled should be 5280 feet. Thus:

Solve for <em>d:</em>
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Approximate:

The circumference of the tire should be about 2.17 feet.
Answer:
55%
Step-by-step explanation:
What we must do is get the total number of people, that is, boys and girls who have been a member for more than 2 years, that is:
children: 0.8 * 35 = 28
girls = 0.25 * 28 = 7
Now, passing knowing the%, would be dividing the sum of the above by the sum of the total club members:
(28 +7) / (35 + 28) = 0.55
Since it is a number below 1, it cannot be a mixed number.