We know that the summation of angles of a triangle is 180<span>°. Then we find angle of C by,
</span>m∠A + m∠B + m∠C=180°
80° + 50° + m∠C=180°
m∠C=180°- 80°+ 50°
m∠C=50°
Since we now angle of C, we can use Sine Law in solving for AC
sinC/AB=sinB/AC
sin50°/6 =sin50°/AC
AC=6cm
Therefore, AC is equal to 6cm.
The equation which shows the situation are 8g + 6h = 62 and 5g + 10h = 70.
<h3>What is an expression?</h3>
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
Given that:-
- Kyle and Lauren teach swimming lessons during the summer. Kyle has 8 classes with g students in each class and 6 classes with h students in each class.
- Lauren has 5 classes with g students in each class and 10 classes with h students in each class.
- If Kyle has a total of 62 students and Lauren has a total of 70 students,
The equation made by the given situation is:-
For kyle, there are g students attending 8 classes sp total number of students will be 8g similarly for h students there are 6 classes so the total number of h students will be 6h. The total number of students for both g and h students attending kyle's class is 62. So the equation will be given as:-
8g + 6h = 62
Now for Lauren, there are g students attending 5 classes so the total number of students will be 5g similarly for h students there are 10 classes so the total number of h students will be 10h. The total number of students for both g and h students attending Lauren's class is 70. So the equation will be given as:-
5g + 10h = 70
Therefore the equation which shows the situation are 8g + 6h = 62 and 5g + 10h = 70.
To know more about expression follow
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In order to prove that this quadrilateral is a parallelogram, we need to get the opposite sides to be parallel.
The answer would be D because it shows 2 triangles to be equal. If they are equal then they must have corresponding sides.
