Hello!
The line on the two lines means they equal each other
5x + 10 = 40
Subtract 10 from each side
5x = 30
Divide both sides by 5
x = 6
The answer is 6
Hope this helps!
Answer: x = 2.8283
Step-by-step explanation:
pythagorean theory or sohcahtoa or sin law
T = 60' and T = 45': S = 90' : T = 45' : R = 90'
t = 3.464
sin law (i can't rlly show u)
q = 3.99
if u don't know what q is, it is the length of the middle line also known as RT
then u do
180 - 45 - 90 = Q
45 = Q
with 45 we can do sin law again
x = 2.8283 is the length of x
Answer:
<em>y = 255x + 6559</em>
Step-by-step explanation:
<u>Function Modeling</u>
We have the following relationship between the minutes into the ride (x) and the elevation of the tram (y):
x={2,5,9,14}
y={7069,7834,8854,10129}
We first test if the relationship is linear or not.
A linear relationship is tested by calculating the slope from any pair of points.
Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

Selecting the first two points (2,7069) and (5,7834)

m = 255
Selecting the first two points (5,7834) and (9,8854)

m=255
If we repeat the calculation with any pair of points, we get the same value for the slope, thus we can conclude the relationship is linear.
Using the point-slope form of the line:
y - k = m( x - h )
We select the point (2,7069)
y - 7069 = 255( x- 2 )
Operating:
y - 7069 = 255x - 510
Adding 7069:
y = 255x - 510 + 7069
y = 255x + 6559
Answer: 
b) x = 12 RS = 20 ST = 40
c) x = 7 RS = 6 ST = 11
<u>Step-by-step explanation:</u>
Use the Segment Addition Postulate: RS + ST = RT
a) (2x - 10) + (x - 4) = 21
3x - 14 = 21
3x = 35
x 
RS = 2x - 10




ST = RT - RS


Use the same formula to solve for b and c
I cannot make out the height along the left side. However this problem is quite simple, let s= that measurement along the left side vertical line. The area of this figure is just the area of a rectangle added to the area of a triangle...
A=(110*s)+(180-110)(s-50)/2
A=110s+35s-3500
A=(145s-3500) cm^2
...
The second problem is just a triangle:
A=4*6/2
A=12 cm^2