Answer:
Step-by-step explanation:
![\frac{1}{4}+\frac{9}{10}y - \frac{3}{5}y+\frac{7}{8}\\\\=\frac{1}{4}+\frac{7}{8}+\frac{9}{10}y-\frac{3}{5}y\\\\](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D%2B%5Cfrac%7B9%7D%7B10%7Dy%20-%20%5Cfrac%7B3%7D%7B5%7Dy%2B%5Cfrac%7B7%7D%7B8%7D%5C%5C%5C%5C%3D%5Cfrac%7B1%7D%7B4%7D%2B%5Cfrac%7B7%7D%7B8%7D%2B%5Cfrac%7B9%7D%7B10%7Dy-%5Cfrac%7B3%7D%7B5%7Dy%5C%5C%5C%5C)
Combine like terms. 1/4 and 7/8 are like terms and LCD of 4 and 8 is 8
9/10y and -3/5y are like terms and LCD of 10 , 5 is 10
![= \frac{1*2}{4*2}+\frac{7}{8}+\frac{9}{10}y-\frac{3*2}{5*2}y\\\\=\frac{2}{8}+\frac{7}{8}+\frac{9}{10}y-\frac{6}{10}y\\\\=\frac{9}{8}+\frac{3}{10}y](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B1%2A2%7D%7B4%2A2%7D%2B%5Cfrac%7B7%7D%7B8%7D%2B%5Cfrac%7B9%7D%7B10%7Dy-%5Cfrac%7B3%2A2%7D%7B5%2A2%7Dy%5C%5C%5C%5C%3D%5Cfrac%7B2%7D%7B8%7D%2B%5Cfrac%7B7%7D%7B8%7D%2B%5Cfrac%7B9%7D%7B10%7Dy-%5Cfrac%7B6%7D%7B10%7Dy%5C%5C%5C%5C%3D%5Cfrac%7B9%7D%7B8%7D%2B%5Cfrac%7B3%7D%7B10%7Dy)
Answer:
y = 24
Step-by-step explanation:
8 : 4 : : y : 48
8 / 4 = y / 48
1 / 2 = y / 48
y = 48 / 2
y = 24
-2a from both sides then divide by -5 and a=1
Answer: 25
explanation:
7² + 24² = c²
49 + 576 = c²
625 = c²
c = √625
c= 25
or just know some pythagorean triples
Because AC is a diameter we can find the 180/3 = x
giving us the x= 60
Then that arc AB = 120