We are given that
line(l) and line(m) are parallel to each other
and we have to find m< 4
we can see that m<3 and m<4 forms linear pair
since, they form linear pair
so, the sum of both angles must be 180°
so, we can write as
m<3 +m<4=180°
we are given
m<3=50°
now, we can plug it
50°+m<4=180°
now, we can solve for m<4
and we get
50°+m<4-50°=180°-50°
m<4=130°......................Answer
The length of the hypotenuse is 13
<u>For this problem, we need to use our integral knowledge to set up the problem</u>:
<u>The bounds will be from 2 to 6, cutting tiny horizontal bars into the graph, to approximate the area</u>
<u />
<u>Now for the function inside the integral</u>:
⇒ it is the <em>top function</em> minus the <em>bottom function</em>
- <em>top function: y= x²</em>
- <em>bottom function: x-axis ⇒ y =0</em>
<em> ⇒</em> <u>function within integral</u> = x² - 0
<u>Let's put it all together and solve</u>:
<u>Answer: 208/3 ≈ 69.333</u>
<u></u>
Hope that helps!
ANSWER:
24 points.
The amount of points Leila needs to score in her next game so that her average is 27 points per game is: 24 points.
STEP-BY-STEP EXPLANATION:
Let the amount of points Leila needs to score in her next game so that her average is 27 points per game = x
27 = total no. of points / total no. of games
27 = ( 33 + 28 + 24 + x ) / ( 3 + 1 )
27 = ( 85 + x ) / 4
27 × 4 = 85 + x
85 + x = 108
x = 108 - 85
x = 24