Answer:$9
Step-by-step explanation:
65+8x=137
137-65=72
72/8=9
We are given first equation y=
x+11.
Second equation is -3x + 7y = 13.
Part A: We need to convert that second equation in slope-intercept form y=mx+b.
In order to convert it in slope-intercept form, we need to isolate it for y.
-3x + 7y = 13
Adding 3x on both sides, we get
-3x+3x + 7y = 3x+13
7y = 3x +13.
Dividing both sides by 7, we get
7y/7 = 3x/7 +13/7.
<h3>y= 3/7 x + 13/7.</h3>
Slope for first equation y=3/7 x +11 is 3/7 and slope of second equation y= 3/7 x + 13/7 is also 3/7.
Slopes are same for both equations.
<h3>Part B: Therefore, lines are parallel due to equal slopes.</h3>
<span>We have V= 0.094 S.
We also have V = 1930.75 cm^3.
Plug in this value in the formula </span>V= 0.094 S, to get
1930.75 = 0.094 S
>> 1930.75 / 0.094 = S
>> S = 20539.89 cm^2
<span>
</span>
Answer:
![z = 15[\frac{\sqrt{3}}{2}]](https://tex.z-dn.net/?f=z%20%3D%2015%5B%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B2%7D%5D)
Step-by-step explanation:
To find the Z-side, we must take the cosine of the 30-degree angle of the main triangle
We know that the cosine of an angle is defined as:



Then:
![z = 15[\frac{\sqrt{3}}{2}}]](https://tex.z-dn.net/?f=z%20%3D%2015%5B%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B2%7D%7D%5D)
Finalmente the side z is:
![z = 15[\frac{\sqrt{3}}{2}}]](https://tex.z-dn.net/?f=z%20%3D%2015%5B%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B2%7D%7D%5D)
Answer:
see explanation
Step-by-step explanation:
The diagonals of a parallelogram bisect each other , then
CO = OA = b
DO = OB = a
(a)
CA = CO + OA = b + b = 2b
(b)
DC = DO + OC = a - b
(c)
CB = CO + OB = b + a = a + b