Answer:
So the value of 'PU' is
Step-by-step explanation:
Given,
'p' is the centroid of and
∵ 'p' is the centroid then 'U' , 'V' and 'W' are the mid point of side 'YZ' , 'XZ' and 'XY'.
From Centroid Theorem we can write;
Plug the values 'XU' in above equation;
From figure;
Plug 'XU' and 'XP' values;
∴ The value of 'PU' is
3x - 18 + 105 = 180
3x + 87 = 180
3x = 180 - 87
3x = 93
x = 93/3
x = 31 <==
The angles of a 4 sided shape always add up to 360.
y + x + 190 - y + 70 = 360
x + 190 + 70 = 360
x + 260 = 360
x = 100
Answer:
Step-by-step explanation:
With this question, we just have to group the terms, so in this case, we can remove the common term (x - 4), and then group the rest of them
If we do that we get:
(x - 4) (2x + 7)
Hope this helps,
Cate
To find the equation of a line knowing two points it passes through, we must first find the slope and then substitute the x and y values to figure out the y intercept.
First thing is to find the slope using the formula m = Δy ÷ Δx
m = 5 - (-2) ÷ 4 - (-5)
Now we simplify
m = 7 ÷ 9
Our equation so far is y = 7/9x + b. Now we can substitute the values of x and y from a point to figure out the answer. The equation here uses the point (4,5)
5 = 7/9 · 4 + b
Get b on one side
5 - 28/9 = b
Simplify
b = 1 + 8/9
That makes the equation of the line y = 7/9x + (1 + 8/9)