The answer is: 4,8,6,5,2. Using the order of operations, which is PEMDAS, you can easily answer the question. Also, when finding the inverse of a function all you have to do is switch the places of x and y and then solve for y.
Answer:
- a = 36°
- b = 36°
- c = 72°
- d = 72°
- e = 108°
- f = 16°
- g = 74°
- h = 70°
Step-by-step explanation:
You are expected to know and make use of the following relations:
- vertical angles are congruent
- angles of a linear pair are supplementary
- angles of a triangle sum to 180°
- alternate interior angles are congruent (at parallel lines)
- corresponding angles are congruent (at parallel lines)
- acute angles of a right triangle are complementary
- base angles of an isosceles triangle are congruent
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For this problem, it isn't always easiest to work the questions in order. It is best to start with the angles easiest to find from those given.
b and 144° are a linear pair, so b = 180° -144° = 36°
a and b are alternate interior angles, so a = b = 36°
2d and 144° are corresponding angles, so d = 144°/2 = 72°
e is the apex angle of an isosceles triangle with base angles 36°, so is 180° -2(36°) = 108° = e
f and 164° are a linear pair, so f = 180° -164° = 16°
g and f are complementary, so g = 90° -16° = 74°
g+h is a vertical angle with 144°, so is congruent to that. h = 144° -74° = 70°
c is the base angle of an isosceles triangle with b as the vertex angle. That means c = (180° -36°)/2 = 72°
Answer:
x = -2
Step-by-step explanation:
you can fist distribute -5 into the parenthesis
25x - 15 - 5x + 5 = -50
then combine like terms
20x - 10 = -50
add 10 to both sides
20x = -40
lastly divide both sides by 20
x = -2
that is your answer
Answer:
Mass of coffee A beans = 9 kg
Step-by-step explanation:
Coffee A = 3
Coffee B = 5
Coffee C = 7
A : B : C = 3 : 5 : 7
Total ratio = 15
Total mass of the bag = 45 kg
find the mass coffee beans A in the mixture?
Mass of coffee A beans = ratio of coffee A / total ratio × total mass of the bag
= 3/15 × 45
= 1/5 × 45
= (1 * 45)/5
= 45/5
= 9 kg
Mass of coffee A beans = 9 kg
Mass of coffee B beans = ratio of coffee B / total ratio × total mass of the bag
= 5/15 × 45
= 1/3 × 45
= 45/3
= 15 kg
Mass of coffee C beans = ratio of coffee C / total ratio × total mass of the bag
= 7/15 × 45
= (7*45)/15
= 315/15
= 21 kg
Answer:
36
Step-by-step explanation: