To give every angle a label:
First angle = 2x
Second angle = x
Third angle = x + 68
So, because the sum of the interior angles of the triangle is 180°, we can say that: 2x + x + (x + 68) = 180
2x + x + x = 4x
4x + 68 = 180
Isolating for x we get: x = (180-68)/4 x = 28
Because the first angle is twice as large and the third angle is greater than the second angle, the measure of the smallest angle is 28°.
9/12 times 5 is 45/ 60 which is equal to 3/4 of a mile. I’m afraid I didn’t understand the question but I hope this helps.
Step-by-step explanation:
The point-slope form of an equation of a line:

<em>m</em><em> - slope</em>
<em>(x₁, y₁)</em><em> - point on a line</em>
The formula of a slope:

We have two points (-5, -1) and (6, -5). Substitute:

Put the value of a slope and coordinates of a point to the equation of a line:


Answer:
6
Step-by-step explanation:
So, to start answering this, lets recall the formula for a rectangles volume:
This formula is :
V=h*w*l
Lets plug in what we know, and solve for the missing variable.
We know that height(h) is 7.
We know that width(w) is 9.
We know that volume(V) is 378.
We are missing length(l)
So:
378=7*9*l
To find length(l), we must iscolate it.
To do this, we must get rid of the 7 and 9.
So lets start by dividing 378 by 9:
378/9=7*9/9*l
=
42=7*l
Now lets do the same thing with the 7 to iscolate l:
42/7=7/7*l
=
6=l
So our missing length(l) is 6.
Answer:
l = 6
Hope this helps!
Answer:
D
Step-by-step explanation:
Two events are said to be independent if the occurence of one event does not affect the occurence of the other.
Note:
A. there sum cannot be equal to 1
B. Mutually exclusive events are events with posibility of happening at thesame time
C. When intersection is zero, it means the set is empty, because intersection of an empty set is equal to an empty set
Thus, option D feels most appropriate