<span>1) What is the measure in degrees of ∠ 1? </span>∠ 1+110=180----> ∠ 1=180-110---> ∠ 1=70°---> angles 1 and 110 are supplementary angles
<span>2) What is the measure in degrees of ∠ 2? </span>∠ 2+115=180----> ∠ 2=180-115----> ∠ 2=65°---> angles 2 and 115 are supplementary angles
<span>3) What is the measure in degrees of ∠ 3? </span>∠ 3=∠ 2----> ∠ 3=65°------> angles 3 and 2 are congruent by corresponding angles
<span>4) What is the measure in degrees of ∠ 4? </span>∠ 4=115---> ∠ 4=115°----> angles 4 and 115 are congruent by corresponding angles
<span>5) What is the measure in degrees of ∠ 6? step 1 find the value of angle </span>∠7 <span>we know that </span>∠1 +∠2 +∠7=180---------> (sum of the internal angles of a triangle ∠7=180-(∠1 +∠2)------> ∠7=180-(70+65)----------> ∠7=45°
∠6=∠7----------> ∠6=45°--------------> <span> angles </span>6<span> and </span>7<span> are opposed by the vertex, so they are congruent.</span><span>
30 caramel popcorn bags and 80 cheddar popcorn bags
Step-by-step explanation:
From the graph of the number cheddar popcorn, Y to the number of the caramel popcorn, X, the shaded region of the graph which is the feasible region has a solution at the value Y = 80 and X = 30 and another at the value Y = 40 and X = 90
Therefore, when the team makes 80 bags of cheddar popcorn and 30 bags of caramel popcorn, we have;
2.5 × 80 + 1 × 30 = $230
When the team makes 40 bags of cheddar popcorn and 90 bags of caramel popcorn, we have;
2.5 × 40 + 1 × 90 = $190
Therefore, the team should make 30 caramel popcorn bags and 80 cheddar popcorn bags.
