Answer:
45, 60, 75
Step-by-step explanation:
The ratio of the angles are 6:8:10
Multiply by x to get the angle measures
6x, 8x,10x
We know the sum of the angles is 180 for a triangle
6x+8x+10x = 180
Combine like terms
24x = 180
Divide each side by 24
24x/24 = 180/24
x =7.5
Each angle is
6x = 6(7.5) =45
8x = 8(7.5) =60
10x = 10*7.5 = 75
Answer:
9
Step-by-step explanation:
f(x)=½(8-2x)
Let x = -5
f(-5)=½(8-2* (-5))
=½(8+10)
=½(18)
=9
Answer:
20 square feet
Step-by-step explanation:
The length of a rectangular deck is five times it's width if the decks perimeter is 24 feet what is the decks area
Step 1
We find the Length and Width of the deck
Perimeter of a rectangle = 2L + 2W
The length of a rectangular deck is five times it's width
W = Width
L = Length = 5W
P = 24 feet
Perimeter = 2(5W) + 2W
24 = 10W + 2W
24 = 12 W
W = 24/12
W = 2 feet
Solving for L
L = 5W
L = 5 × 2 feet
L = 10 feet
Step 2
We find the area of the deck
Area of the deck(Rectangle) = Length × Width
= 10 feet × 2 feet
= 20 square feet
Answer:
So basically you add x with 9 and you get 9x
The table is proportional and the constant of proportionality is 1.5
Step-by-step explanation:
Proportional relationships are relationships between two variables
where their ratios are equivalent
- One variable is always a constant value times the other
- The relation between the two variables represented graphically by a line passes through the origin point
The table:
→ x : 0 : 2 : 4 : 6
→ y : 0 : 3 : 6 : 9
To prove that y ∝ x find the ratio between each value of y with corresponding value of x
∵ 
∵ 
∵ 
∴ 
∴ k = 1.5
∵ The origin point is in the table
∴ y ∝ x
∴ The table is proportional
The table is proportional and the constant of proportionality is 1.5
Learn more:
You can learn more about proportional in brainly.com/question/10708697
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