Answer:
m<1 = 105°
m<2 = 75°
Step-by-step explanation:
Since lines c and d are parallel to each other, therefore:
m<2 = 75° (corresponding angles are congruent)
m<1 + m<2 = 180° (linear angle pair)
Substitute
m<1 + 75° = 180°
Subtract 75 from both sides
m<1 = 180° - 75°
m<1 = 105°
Answer: 130 kg 920 g
Step-by-step explanation:
Given
The weight of the goat is 59 kg 720 g
The combined weight of goat and cow is 190 kg 640 g
Suppose, the weight of the cow is x kg
We know, 1 kg=1000 g
Converting weight into kg
Goat weight
Total weight
Then, the cow weight is given by
Answer:
51 meters
Step-by-step explanation:
Steve is turning half his backyard into a chicken fan. His backyard is a 24 m x 45 m rectangle. He wants to put a chicken wire fence that stretches diagonally from one corner to the opposite corner. How many meters of fencing will Steve need?
We are to find the meters of fencing for the diagonal.
We solve the question using Pythagoras Theorem
= c² = a² + b²
Where
c = Diagonal
a = Width
b =Length
Diagonal² = Width² + Length ²
Hence:
Diagonal ² = 45² + 24²
Diagonal = √45² + 24²
Diagonal = √(2601)
Diagonal = 51 m
Therefore, the meters of fencing for the diagonal that Steve would be needing = 51 meters
Answer:
Total overripe fruit = 48
Step-by-step explanation:
<em>Step 1: Assume the value of oranges</em>
Let oranges be x
Oranges = x
Apples = 32 + x
Overripe oranges = 3/5 of oranges
= 3x/5
Overripe apples = 1/3 of apples
= 1/3 (32 + x)
<em>Step 2: Find x (oranges)</em>
<em>Number of overripe apples and number or overripe oranges are equal.</em>
3x/5 = 1/3 (32 + x)
3 (3x) = 5(32 + x)
9x = 160 + 5x
4x = 160
x = 40
<em>Step 3: Find the total number of overripe fruit.</em>
Total overripe fruit = Overripe apples + Overripe oranges
Total overripe fruit = 1/3 (32 + x) + 3x/5
Total overripe fruit = 1/3 (32 + 40) + 3(40)/5
Total overripe fruit = 24 + 24
Total overripe fruit = 48
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