Answer:
320 cups of soup
Step-by-step explanation:
Given;
Total number of guests expected T = 800
Proportion of that may order soup p = 2 out of 5 = 2/5
The number of cups he should prepare should be equal to the number of guests that are expected to order soup appetizer.
Number of guests Expected to order soup appetizer n is;
n = proportion × total guest = p × T
Substituting the given values;
n = 2/5 × 800 = 320
Therefore, he should prepare 320 cups of soup.
Answer: 6
Step-by-step explanation:
From the question, a base angle of isosceles triangle is 30°.We are also informed that one of the legs is 12. The altitude is opposite to the angle having a measure of 30°. The hypoteneous in the right angled triangle which is formed by drawing the altitude is 12. This will be calculated as:
Sin = opposite/hypotenuse
Sin 30°=length of the altitude/12
Note that sin 30° = 0.5
0.5 = length of the altitude/12
length of the altitude = 12 × 0.5
Hence, length of altitude = 6

The given angles forms linear pair, and we know the angles forming linear pair are supplementary,
Therefore,
Angle MHJ + Angle MHL = 180°
Let's solve :
Value of variable m = 10°
