Answer: y=(1/5)m+3
Step-by-step explanation:
Start with the standard form of an equation of a straight line: y=mx+b, whre m is the slope and b the y-intercept (the value of y when x=0).
y=mx+b
We know b (3), so:
y=mx + 3
To find the slope, m, we can use the one given point, (5,4):
y=mx + 3 for (5,4) would be:
4 = m*5+3
1 = 5m
m = (1/5)
y=(1/5)m+3
c.
x = 130° (exterior opposite angles)
y + x = 180° (linear pair of angles)
=> y + 130° = 180°
=> y = 180° - 130°
=> y = 50°
d.
z = 100° (corresponding angles)
a = 100° (corresponding angles)
x + 100° = 180° (linear pair of angles)
=> x = 180° - 100°
=> x = 80°
y = x (interior opposite angles)
=> y = 80°
b = y (corresponding angles)
=> b = 80°
g.
a = 112° (vertically opposite angles)
b = a (interior opposite angles)
=> b = 112°
x = 78° (vertically opposite angles)
x + y = 180° (interior angles on the same side of transversal)
=> 78° + y = 180°
=> y = 180° - 78°
=> y = 102°
h.
f = 120° (vertically opposite angles)
e = 105° (vertically opposite angles)
c = 120° (corresponding angles)
d = 105° (corresponding angles)
a + d = 180° (linear pair of angles)
=> a + 105° = 180°
=> a = 180° - 105°
=> a = 75°
b + c = 180° (linear pair of angles)
=> b + 120° = 180°
=> b = 180° - 120°
=> b = 60°
Answer:
35
Step-by-step explanation:
First, we add the ratio of the mango to strawberry ice cream and we're going to end up with 2+5=7. If we divide 49 by 7, we're going to find out how much we need to multiply to both sides of the ratio to get the specific amounts. So, if we multiply 7 (49/7) to 5, we're going to get 35. Therefore the number of strawberry ice cream is 35.
Also, we can check this by multiplying 7 to 2 as well, where we will end up with 14. 35 + 14 = 49 so we know this is correct!
Answer:
C
Step-by-step explanation:
The common ratio r of a geometric sequence is
r = 
= 
= 
× 
= 
→ C
Mid point is found by summation of x
Then divide by 2
And same for y
Since mid point for x is 8
So x+(-9) /2 = 8
X - 9 = 16
X=16+9
X= 25
