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scoundrel [369]
3 years ago
15

X, Y, and Z are collinear and Y is between X and Z. If XY = 3x – 1, YZ = 5, and XZ = 5x – 8,

Mathematics
1 answer:
salantis [7]3 years ago
4 0

Answer:

6

Step-by-step explanation:

XY = 3x – 1, YZ = 5, and XZ = 5x – 8,

We know that XY + YZ = XZ, so

3x - 1 + 5 = 5x - 8

3x + 4 = 5x - 8

3x + 12 = 5x

12 = 2x

6 = x

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The diameter of the attic is 18ft and its height is 18ft. What's is the volume of the space in the attic
Svet_ta [14]
I attached an image with the complete question.

Answer:
volume of attic = 1526.04 ft³

Explanation:
Volume of cone can be calculated using the following rule:
Volume = \frac{1}{3} * area of base * height
Volume = \frac{1}{3} * π * radius² * height
We are given that:
π = 3.14
radius = 18/2 = 9 ft
height = 18 ft

Substitute in the equation to get the volume as follows:
Volume = \frac{1}{3} * 3.14 * (9)^2 * (18) = 1526.04 ft³

Hope this helps :)

5 0
3 years ago
Given: BDis a diameter<br> m 1 = 100°<br> m BC= 30°<br><br> m2 =<br><br> 30<br> 80<br> 100
skad [1K]

Answer:

∠2 = 80°

Step-by-step explanation:

Since BD is a diameter then

∠1 + ∠2 = 180°, that is

100° + ∠2 = 180° ( subtract 100° from both sides )

∠2 = 180° - 100° = 80°

4 0
3 years ago
Read 2 more answers
Simplify the ratio 24:135
kap26 [50]
The answer is 8:45. Enjoy!
5 0
4 years ago
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Taylor purchased 9 pints of ice cream for a party. If each guest will be served exactly 1 2 2 1 ​ pint of ice cream, how many gu
Neporo4naja [7]

Complete question :

Carly purchased 9 1/2 pints of ice cream for a party. If each guest will be served exactly 3/5 pint of ice cream, what is the greatest number of gusts that Carly can serve

Answer:

15 guests

Step-by-step explanation:

Given that:

Total pints of icecream = 9 1/2

Fraction of ice cream pints per guest = 3/5 pints

Number of guest that can be served :

Total pints / fraction per guest

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Hence, greatest Number of guest that can be served = 15

8 0
3 years ago
Can someone please help me with this
Mamont248 [21]
The answer to the questions is the second one
5 0
3 years ago
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