Answer:
The correct option is 3. The length of XC is 30.
Step-by-step explanation:
It is given that triangle ABC and triangle XYC are similar.
According to the properties of similar triangles, then corresponding sides of similar triangles are congruent.
In triangle ABC and triangle XYC,
![\frac{AB}{XY}=\frac{BC}{YC}=\frac{AC}{XC}](https://tex.z-dn.net/?f=%5Cfrac%7BAB%7D%7BXY%7D%3D%5Cfrac%7BBC%7D%7BYC%7D%3D%5Cfrac%7BAC%7D%7BXC%7D)
Let the length of XC be x.
From the below figure it is notices that
![AC=AX+XC=18+x](https://tex.z-dn.net/?f=AC%3DAX%2BXC%3D18%2Bx)
![BC=BY+YC=6+10=16](https://tex.z-dn.net/?f=BC%3DBY%2BYC%3D6%2B10%3D16)
![\frac{16}{10}=\frac{18+x}{x}](https://tex.z-dn.net/?f=%5Cfrac%7B16%7D%7B10%7D%3D%5Cfrac%7B18%2Bx%7D%7Bx%7D)
![16x=180+10x](https://tex.z-dn.net/?f=16x%3D180%2B10x)
![6x=180](https://tex.z-dn.net/?f=6x%3D180)
![x=30](https://tex.z-dn.net/?f=x%3D30)
Therefore correct option is 3. The length of XC is 30.
Answer:
its 288 if u search formula for surface area of a rectangular prism
Step-by-step explanation:
In this item, we are to calculated for the 6th term of the geometric sequence given the initial value and the common ratio. This can be calculated through the equation,
An = (A₀)(r)ⁿ ⁻ ¹
where An is the nth term, A₀ is the first term (in this item is referred to as t₀), r is the common ratio, and n is the number of terms.
Substitute the known values to the equation,
An = (5)(-1/2)⁶ ⁻ ¹
An = -5/32
Hence, the answer to this item is the third choice, -5/32.
Answer:
x = 3
y = 8
Step-by-step explanation:
In the given triangle FGH,
m∠F + m∠G + m∠H = 180° [Triangle sum theorem]
60° + 90° + m∠H = 180°
m∠H = 30°
If the given triangles FGH and TUV are congruent, their corresponding sides will be equal in measure.
m∠F = m∠T
7y + 4 = 60°
7y = 56
y = 8
GH ≅ UV
8x - 12 = 12
8x = 24
x = 3
Answer:
2 is the answer I did this once in class