4)
x=16Vertical angles have equal angles when two lines intersect, which they do in this case.
3x-3=2x+13
Solve for x:
x=16
5)
34 degreesLines AK and MJ bisect each other perpendicually, so <ADJ is 90 degrees.
4x+3x-8=90
7x-8=90
7x=98
x=14
<CDJ=3x-8
=3(14)-8
=34 degrees
Hope this helps :)
Step-by-step explanation:
Right, okay, so this is a bit of a weird one. Let's go step by step.
"Today, 6 friends went out for lunch." = The number 6 is gonna be in our equation somewhere.
"Their total bill was $27.60" = so is the number 27.6
"They decided to split the bill equally" = 27.6 "split equally" (aka divided by) 6 friends is 4.6
"each paid with a $10 bill" = This is where it gets a lil weird. So, if they divided the bill among them, none of their amounts are gonna be anywhere near ten dollars. This is one of those questions that wouldn't really happen in real life. People would probably use fives instead, but whatever. So a number we'll be using for something is 10.
"How much money will each person get back?" = So we have to find the amount they all paid (10) minus the amount each one had to pay (4.6).
To put it all into a full equation...
10 - ( 27.6 / 6 )
Divide.
10 - 4.6
Subtract.
5.4
Put back into money form.
$5.40
Answer:
Each person will get back $5.40.
Answer: 180 miles
Step-by-step explanation: 1cm=40 miles. There is 4.5 so 4*40=160 and there is also half a centimeter, which is 20 miles. 160+20
Hope this helps and brainliest would be appreciated
Answer:
slope = 
and - 
, perpendicular
Step-by-step explanation:
the equation of a line in slope-intercept form is
y = mx + c ( m is the slope and c the y-intercept )
y = x + 11 is in this form with m =
Rearrange 7x + 3y = 13 into this form
subtract 7x from both sides
3y = - 7x + 13 ( divide all terms by 3 )
y = - x + 
← in slope- intercept form
with m = -
• Parallel lines have equal slopes
• The product of perpendicular slopes = - 1
The lines are not parallel since slopes are not equal
× - = - 1
Hence lines are perpendicular
Find the concavity changes of f(x).
Give the x-coordinates.
So, the answer to the multiple choice question is -1 and 5 since those points are where f''(x) changes sign.
Note: You can tell that you're supposed to find the concavity changes of f(x) and not f''(x) because from the graph it's obvious that the concavity of f"(x) doesn't change.
