Answer:
12/7
Step-by-step explanation:
5/3x+10/7=30/7
5/3x=30/7-10/7
5/3x=20/7
x=(20/7)/(5/3)
x=(20/7)(3/5)
x=60/35
simplify
x=12/7
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!
Answer:
True - The above statement is true
A circle is the collection of points in a plane that are the same distance from a given point in the plane.
Step-by-step explanation:
- <em><u>A circle is the set of points in a plane that are a given distance from a given point in the plane. The given point is the center of the circle, and the given distance is the radius.</u></em>
- In other words; A circle is the set of points in a plane that are equidistant from a given center point. Therefore; the locus of points at a fixed distance, d, from the point, P is a circle with the given point P as its center and d as its radius.
Answer:
48
Step-by-step explanation:
We are asked that the value of (4n + 7) will be an integer > 1 and < 200, for how many integer values of n.
So, equating (4n + 7) with 200 we can get the value.
4n + 7 = 200
⇒ 4n = 193
⇒ n = 48.25
Hence, the value of n will be the largest integer less than 48.25.
Therefore, the number of integer values of n will be 48. (Answer)
