Length of arc = (15/360) * 2*3.14*20 = 5.23 ins
circumference of the circle = 2*3.14*24 = 150.72
angle at center from 10 ft arc = (10/150.72) * 360 = 23.89 degrees
Answer:
Value of y = 7
Step-by-step explanation:
By the midpoint theorem of the triangles,
"Segment joining midpoints of the two sides of a triangle is parallel to the third side and measure half the length of the third side."
Therefore, from the figure attached,
In ΔFGH,
J and K are the mid points of the two sides GH and FH.
By theorem, segment JK║GF and m(JK) = ![\frac{1}{2}m(FG)](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7Dm%28FG%29)
![(2y+5)=\frac{1}{2}(5y+3)](https://tex.z-dn.net/?f=%282y%2B5%29%3D%5Cfrac%7B1%7D%7B2%7D%285y%2B3%29)
(5y + 3) = 2(2y + 5)
5y + 3 = 4y + 10
5y - 4y = 10 - 3
y = 7
Due to the lack of information I assume these are fractions so for 5/35 we times it by 21 and 21 by 35 so they have the same denominator so now we got 105/735 and for 21 we get x/735 so now You put 105/735 and divide by 35 so we get back down to 21 for
3/21 for part 1
Now for part 2 again 15 times 20 and 20 times 15 to equal out the denominators so now we have 240/300 and x/300 so now plug 240 into x and divide down by 15 and now we get
16/20 for part 2
LMK if I am wrong I highly doubt it
Standard form : Ax + By = C
slope intercept form : y = mx + b
example :
2x + 3y = 10....we want the 3y term by itself...so subtract 2x from both sides
3y = -2x + 10 .....now we have to divide both sides by 3 to get y alone
y = (-2/3)x + 10/3 <== slope intercept form...u dont need the parenthesis in there, I was just showing u that I divided by 3
another one..
-4x + 5y = 9.....got to get 5y by itself....this time we add 4x
5y = 4x + 9...now divide both sides by 5 to get y alone
y = 4/5x + 9/5