I being the intercenter of the triangle means that IA = BI= CI
CI = 52-2X
AI = 3X +7 ==> AI = IC ==> 3X+7 = 52-2X SOLVE FOR X
3X+2X = 52-7 ==> 5X = 45 & X =9
IF X = 9 THEN IC = 52-2(9) = 34. IC =34
In this question, you're solving for a.
Solve for a:
-84 = 6(4a - 2)
<em>Distribute the 6 to the variables inside the parenthesis</em>
-84 = 24a - 12
<em>Add 12 to both sides</em>
-72 = 24a
<em>Divide both sides by 24</em>
-3 = a
This means that answer choice D would be the correct answer.
Answer:
D). -3
Answer:
10560 feet
Step-by-step explanation:
multiply the length value by 5280
Formula
====
d = r * t
Givens
======
d = 2 3/4
t = 1 hour 15 minutes
r = ????
Calculations
==========
You need to convert the 15 minutes to hours.
1 hour = 60 minutes
x hour = 15 minutes
1/60 = x/15
x = 15/60
x = 0.25 hours
so the time = 1 hours + 0.25 hours
t = 1.25 hours
Now you need to do something with the distance.
3/4 mile = 0.75 of a mile
So the distance = 2 + 0.75 = 2.75 miles
Now you are ready for the answer.
d = r * t you are looking for r
2.75 = r * 1.25
r = 2.75/1.25
r = 2.2 miles / hour
Note you could do this with fractions.
2 3/4 = 11/4
1 1/4 = 5/4
r = 11/4 // 5/4 =11/5 = 2 1/5 which is the same thing as 2.2. If your calculator can handle fractions (those kind of calculators cost about 10 dollars in Canada. It should be 8 in the US) that might be the way to do this problem.
