Answer:
The angle measures that are correct are m<2 = 125degrees, m<8 = 55 degrees and m<14 = 100 degrees
Given the following angles from the diagram;
m<5 = 55 degrees
m<9 = 80degrees
From the diagram
m<5 = m<1 = 55 degrees (corresponding angle)
m<1 + m<2 = 180 (sum of angle on a straight line)
Hence;
55 + m<2 = 180
m<2 = 180 - 55
m<2 = 125degrees
Also;
m<5 = m<8 = 55 degrees (vertically opposite angle)
m<9 = m<13 = 80degrees
m<13 + m<14 = 180
Hence;
80 + m<14 = 180
m<14 = 180 - 80
m<14 = 100 degrees
Hence the angle measures that are correct are m<2 = 125degrees, m<8 = 55 degrees and m<14 = 100 degrees
Step-by-step explanation:
Answer:
<h2><u><em>
-3.235</em></u></h2>
Step-by-step explanation:
First, let's start by removing the parentheses and simplifying the expression.
3.125 + - 3.9 - 2.46
Adding a negative number is the same as subtracting it, so we can remove the + sign.
3.125 - 3.9 - 2.46
From there, we can do simple subtraction and get:
-3.235
Answer:
the length is 12 and the width is 9.
Step-by-step explanation:
The first step is always to assign letters to the variables. We can call length L and width W.
Since all units are in cm, unit conversion is unnecessary.
Next, set up some equations. L=2W-6 because of the first sentence of the problem. Length times width equals area, so L*W=108.
Now that there are two equations and two variables, the next step is to solve the system. I'm going to solve it by plugging in the right side of the first equation in for L in the second equation. This gives me (2W-6)*W=108. Distributing the W gives me 2W^2-6W=108, or W^2-3W-54=0. Using the quadratic formula, I get that W=9. Using the first equation, L=2*9-6=12. So the length is 12 and the width is 9.
You need to state the original function(s) to find the additional roots.
Answer:
Felix has 250 dollars
No change
Lucas has 5 dollars
Step-by-step explanation: