9514 1404 393
Answer:
62 1/2 square feet
Step-by-step explanation:
The total area is the area of the central square plus the area of the four triangles.
The area formula for a square is ...
A = s² . . . . for side length s
The area formula for a triangle is ...
A = 1/2bh . . . . for base b and height h
Here, we have a square with side lengths of 5 m, and triangles with a base of 5 m and a height of 3 3/4 m. Then the area of the square plus the area of 4 triangles is ...
A = (5 ft)² + 4×(1/2)(5 ft)(3 3/4 ft) = 25 ft² +37 1/2 ft²
A = 62 1/2 ft²
62.5 square feet of cardboard will be needed to build the display.
Statements Reasons
1. M lies on AB Given
2. AM+MB=AB Definition of midpoint
3. 2x+2+4x-4 = 16 Segment Addition Postulate
4. 6x-2 = 16 Combining like terms
5. 6x = 18 Addition Property of equality
6. x = 3 Division Property of equality
7. AM=2(3)+2 and MB=4(3)-4 Substitution property of equality
8. AM=8 and MB=8 Definition of midpoint
9. M is a midpoint Hence, proved.
Step-by-step explanation:
5x - 15 we multiply the barclet value by 5
3
x = 16.22
x = 16.22 ÷ 3 = 16.22 × 
= 4.9907 ≈ 5
x = 5
Verification: 3 × 5 = 16.25 ≈ 16.22
How much do 12 yards of fabric cost?
5 × 12 = $60
The original price was 7.
Chloe got a 15% discount; this means she paid 100-15 = 85% of the price. Letting x be the price, Chloe paid 0.85x.
Denise got a 20% discount; this means she paid 100-20 = 80% of the price. Denise paid 0.8x.
We know that Chloe paid 35p more; this gives us the equation
0.85x = 0.8x + 0.35
We do not want a variable on both sides, so we subtract 0.8x from both:
0.85x - 0.8x = 0.8x + 0.35 - 0.8x
0.05x = 0.35
Divide both sides by 0.05:
0.05x/0.05 = 0.35/0.05
x = 7
