Answer:
30
Step-by-step explanation:
Adjacent angles of a parallelogram add up to 180 degrees, meaning that (3x)+(x+60)=180 degrees. You can use this to set up the following equation:
3x+x+60=180
4x=120
x=30 degrees. Hope this helps!
First of all let's rearrange the equation for the given line:
4x + 7y + 3 = 0
7y = -4x - 3
y = (-4/7)x - 3/7
Now we know that the gradient of the line is -4/7
The gradients of two perpendicular lines multiply by each other to give -1, ie.
(-4/7)*m = -1
m = -1/(-4/7)
= 7/4, therefor the gradient of the perpendicular line is 7/4
Now we can substitute this and the point (-2, 1) into the equation y - y1 = m(x - x1)
y - 1 = 7/4(x - (-2))
y = 7/4x + 7/2 + 1
y = 7/4x + 9/2
If we look at the given answers then C is correct, since 9/2 = 18/4 and so the equation may also be written as y = 7/4x + 18/4
Answer:
$85365.90
Step-by-step explanation:
Let's start by finding the effective rate of interest
.043/12=.00385333

Answer:
450 ml.
Step-by-step explanation:
Let x be the amount of water drank by Alla and y be the amount of water drank by Balla.
We have been given that Alla and Balla together drink 750 ML of water. We can represent this information as:
We are also told that Alla drinks 50% more than Balla. We can represent this information as:
From equation (1) we will get,
Upon substituting this value in equation (2) we will get,

Upon distributing 1.5 to right hand side of the equation we will get,

Upon adding 1.5x to both sides of equation we will get,


Let us divide both sides of our equation by 2.5.

Therefore, Alla drank 450 ml of water.