In a parallelogram the two angles on the same side need to equal 180 degrees. So in the picture angle F and angle G need to equal 180:
Add them together:
7x -5 + 3x-15 = 180
Simplify by combining like terms:
10x -20 = 180
Add 20 to both sides:
10x = 200
Divide both sides by 10:
X = 20
Now you know x, replace x in the angle for g and solve:
G= 7x-5 = 7(20) -5 = 140-5 = 135
G = 135 degrees.
In a parallelogram the top and bottom are the same length, so set the two to equal each other and solve for y:
3y = y + 8
Subtract y from both sides:
2y = 8
Divide both sides by 2:
Y = 4
Now replace y and solve for EF:
EF = 3y = 3(4) = 12
EF = 12
We can rearrange 3x+y=9 to look more conventional by subtracting 3x from both sides and making it y= -3x+9.
Now we want to find a line that is parallel to this and goes through the point (0,-4). We know that -3 is the slope. With this in mind, if we want the other line to be parallel then it must have the same slope so that they never intersect. This gives us one of the numbers we need for the second line.
This means our second equation is looking like; y= -3x+b. This means we need to find b (the y-intercept) but we are also given a point it must go through and this is (0,-4). We simply plug this in into our new equation we need to solve and we get ; -4 = -3(0) + b . "since 0 is the x and -4 is the y" . From this we get that b= -4. This means the equation of a line parallel is:
y = -3x-4
Based on the relative frequency and the number of times the experiment is to be performed, the number of times Event A should occur is 10 times.
<h3>How many times should Event A occur?</h3>
The relative frequency in this regard is 1/3.
The number of times it will occur can be found as:
= Relative frequency x Number of times event was performed
Solving gives:
= 1/ 3 x 30
= 10 times
Find out more on relative frequency at brainly.com/question/3857836.
Answer:
also -1/2 lol
Step-by-step explanation:
Answer:
Length: 25, Width: 7
Step-by-step explanation:
Let the width be represented by w. We can then assume that the length is equivalent to 3w+4
So, we can set the equation 2(3w+4)+2(w). Simplify to 8w+8=64
Simplify the equation and solve for w, which is 7
Plug into the the length, which is 3w+4
