Answer:
Step-by-step explanation:
1) The sum of angles on a straight line is 180 degrees. Therefore
75 + a + 70 = 180
145 + a = 180
a = 180 - 145 = 35 degrees
2) Sum of the angles in a triangle is 180 degrees. Therefore,
a + b + 95 = 180
35 + b + 95 = 180
130 + b = 180
b = 180 - 130 = 50 degrees
3) c + 95 = 180 degrees (sum of angles on a straight line).
c = 180 - 95 = 85 degrees
4) 70 + c + d = 180 degrees
70 + 85 + d = 180
155 + d = 180
d = 180 - 155 = 25 degrees
5) e = 75 degrees
6) f + e + 75 = 180 degrees
f + 75 + 75 = 180
f + 150 = 180
f = 180 - 150 = 30 degrees
Answer:
25 cups and 3/5 of a cup
Step-by-step explanation:
Bro trust me
The total number of handshakes = 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 = 36
Answer: 36 handshakes
You can start by subtracting different equations from each other.
3x + 2y + 3z = 1
subtract
3x + 2y + z = 7
2z = -6
divide by 2
z = -3
add the following two expressions together:
3x + 2y + z = 7
3x + 2y + 3z =1
6x + 4y + 4z = 8
subtract the following two expressions:
6x + 4y + 4z = 8
5x + 5y + 4z = 3
x - y = 5
^multiply the whole equation above by 3
3x - 3y = 15
subtract the following two expressions:
3x - 3y = 15
3x + 2y = 10
-5y = 5
divide each side by -5
y=-1
take the following expression from earlier:
x - y = 5
substitute y value into above equation
x - - 1 = 5
2 negatives make a positive
x + 1 = 5
subtract 1 from each side
x = 4
Therefore x = 4, y = -1, z = -3
I checked these with all 3 equations and they worked :)
(it's quite complicated, comment if you don't understand anything) :)
Answer:
TRUE
Step-by-step explanation:
y-4 = 2(x-1)
here, 4 is representing the y value and 1 is representing the x value.
And the slope is 2.
