Jake’s family traveled a total of 1,543 miles
<span>C = 45 + 18 + 27 - 21 - 93
C = -24
Let's use the variable C to represent the change in the balance in Cody's checking account. The easiest way to make the expression is to simply apply the additions and subtractions directly. So let's start with C
C
"Cody made deposits of $45, $18, and $27 into his checking account."
C = 45 + 18 + 27
"He then wrote checks for $21 and $93."
C = 45 + 18 + 27 - 21 - 93
So the expression to represent the change to Cody's checking account is
C = 45 + 18 + 27 - 21 - 93
Now to simplify it. All you need to do is combine terms together. How far you go is up to you. So let's do it.
C = 45 + 18 + 27 - 21 - 93
I'll add together all the deposits.
C = (45 + 18 + 27) - 21 - 93
C = 90 - 21 - 93
And I'll combine the checks.
C = 90 - 114
So now you can tell at a glance that Cody deposited $90 and wrote checks for $114. But we can make it simpler and combine those as well. So
C = -24
And this tells you that Cody's checking account balance is now $24 lower than it was before he started making deposits and writing checks.</span>
Both angles WILL have the same measure.
So,
3x-10= x+40 (you have to set the equations equal to one another)
Now, add 10 to both sides.
3x=x+50
Subtract x on both sides.
2x=50
Divide both sides by 2.
x=25
Now, plug in x.
(25 +40)= 65
(3(25)-10)= 65
x equals 25 and both angles are equal to 65. Or "B".
I hope this helps!
~cupcake
Answer:
x ≈ 54.8°
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan x = 
= 
= 
, then
x = 
( ) ≈ 54.8° ( to the nearest tenth )
Answer:
D. 112
Step-by-step explanation:
Since we know that a triangle totals 180 degrees, we can easily figure out the third angle. Since each measure 34 degrees, simply multiply by 2. You get 68 degrees. Then you do 180-68 to get 112.
