Answer:
y=8°
Step-by-step explanation:
![\tt \angle ywx+\angle wxyz=\angle zyw](https://tex.z-dn.net/?f=%5Ctt%20%5Cangle%20ywx%2B%5Cangle%20wxyz%3D%5Cangle%20zyw)
![\tt 4y-4+3y=52](https://tex.z-dn.net/?f=%5Ctt%204y-4%2B3y%3D52)
![\tt 4y+3y-4=52](https://tex.z-dn.net/?f=%5Ctt%204y%2B3y-4%3D52)
![\tt 7y-4=52](https://tex.z-dn.net/?f=%5Ctt%207y-4%3D52)
![\tt 7y-4+4=52+4](https://tex.z-dn.net/?f=%5Ctt%207y-4%2B4%3D52%2B4)
![\tt 7y=56](https://tex.z-dn.net/?f=%5Ctt%207y%3D56)
![\tt \cfrac{7y}{7}=\cfrac{56}{7}](https://tex.z-dn.net/?f=%5Ctt%20%5Ccfrac%7B7y%7D%7B7%7D%3D%5Ccfrac%7B56%7D%7B7%7D)
![\tt y=8^{o}](https://tex.z-dn.net/?f=%5Ctt%20y%3D8%5E%7Bo%7D)
Hope it helps! :)
Answer:
22cm²
Step-by-step explanation:
For the area of triangle,
base = 2 + 2 + 2 = 6cm
height = 4cm
Area = 1/2 x base x height
= 1/2 x 6 x 4
= 12cm²
For area of the rectangle,
length = 5cm
breadth = 2cm
Area = length x breadth
= 5 x 2
= 10cm²
Area of compound shape = 12 + 10 = 22 cm²
Answer:
{7, 8, 9, 10}
Step-by-step explanation:
Having worked 4 hours babysitting, Zoé has already earned 4×$7 = $28, so only needs to earn $130 -28 = $102 more.
At $15 per hour, it takes her $102/$15 = 6.8 hours to earn that amount. In order to keep her total hours to a maximum of 14, Zoé cannot work any table-clearing hours more than 14 -4 = 10. The possible solutions for Zoé's hours doing table clearing are ...
{7, 8, 9, 10} . . . . hours
_____
We have assumed Zoé must work whole numbers of hours.
The minimum number of degrees that a hexagram can be rotated so that it is carried onto itself is 60 degrees.
The answer to this question is c