Answer:
756 miles in 12 hours
Step-by-step explanation:
504÷8=63
63 miles per hour
63×12=756
The border will have to be 33b - 8
Step-by-step explanation:
Antoine is making a banner in the shape of a triangle
- He wants to add a decorative border around the edges
- The length of the three sides of the triangle are 9b + 8, 12b - 8 and 12b - 8
We need to find the length of the border
The length of the border is the sum of the lengths of the three sides of the triangle
∵ The length of one side = 9b + 8
∵ The length of another side = 12b - 8
∵ The length of the final side = 12b - 8
- Add the lengths of the 3 sides to find the length of the border
∴ The length of the border = 9b + 8 + 12b - 8 + 12b - 8
- Add like terms
∴ The length of the border = (9b + 12b + 12b) + (8 - 8 - 8)
∴ The length of the border = 33b - 8
The border will have to be 33b - 8
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All parts of arithmetic equations have names. In an addition equation, addends are the numbers that are added together to give a sum. In a subtraction equation, the subtrahend is taken away from the minuend to give a difference. In a multiplication equation, factors are multiplied to give a product.
Answer:
Step-by-step explanation:
The two inside angles will sum to 180°.
The top to angles are equal.
Think about this as what if both of the parallel lines were intersected by a perpendicuar line. Every angle would be a right triangle 90°. The inside angles will sum to 180° and the opposite angles are again equal.
(2x + 18) + (8x + 12) = 180
10x + 30 = 180
10x = 150
x = 15
-------------------------
(3y - 18) = (8x + 12) x = 15
(3y - 18) = (8(15) + 12)
(3y - 18) = (120 + 12)
(3y - 18) = 132
3y = 132 + 18
3y = 150
y = 50
