Let x = first number, and y = second number.
x + y = 40 (1)
x - y = 6.5 (2)
Rearrange (2)
y = x - 6.5 (3)
Sub (3) in (1)
x + (x - 6.5) = 40
2x - 6.5 = 40
2x = 33.5
x = 16.75 (4)
Sub (4) in (1)
16.75 + y =40
y = 23.25
x * y = 16.75 * 13.25 = 221.9375
The product is 221.9375
Answer:
∠DEF = 250°
Step-by-step explanation:
1. This shape is a hexagon (6 sides), so the interior angles should all add to 720°. Also worth noting: the problem says the <em>obtuse</em> angle DEF; this means it's the angle INSIDE the shape, not outside.
2. Add all the known angles, then subtract from the total degrees:
50 + 96 + 144 + 42 = 332
720 - 332 = 338
3. Because BC is parallel to ED, we can subtract 180 - 42 for the value of ∠EDC, which is 138°.
4. Add all the known values and subtract from 720 for the value of ∠DEF:
50 + 96 + 144 + 42 + 138 = 470
720 - 470 = 250°
$17.85 is 110% of the original price.
To find 1% divide this by 110:
17.85/110 = 0.16% (rounded).
Original price is 100% so 0.16*100 = $16.23 (rounded).
Check:
$16.23*1.1=$17.85 (1.1 is decimal equivalent of 110%).
Answer:
Y = 17
Step-by-step explanation:
31 - 17 = 14
14 x 7 = 98
