3/4 of 7 pints were used. of, in this case, means to multiply. 3/4 x 7= 21/4= 5 and 1/4 pints. Now we subtract 5 and 1/4 (because this is how much was used) from 7. 7- 5 and 1/2 = 1 and 1/2
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The convex heptagon has 14 distinct diagonals can be drawn
Step-by-step explanation:
A polygon is said to be a heptagon if it has 7 vertices, 7 sides and 7 angles. A heptagon is called a convex heptagon if the lines connecting any two non-adjacent vertices lie completely inside the heptagon
The formula of number of diagonals in any polygon is , where
- d is the number of the diagonals of the polygon
- n is the number of sides of the polygon
∵ The heptagon has 7 sides
∴ n = 7
∵ The number of diagonals =
- Substitute n by 7 in the rule above
∴ The number of diagonals =
∴ The number of diagonals =
∴ The number of diagonals =
∴ The number of diagonals = 14
The convex heptagon has 14 distinct diagonals can be drawn
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Answer:
True
Step-by-step explanation:
In the Pythagorean Theory, a^2 and b^2 both represent two legs of a right triangle while c^2 represents the hypotenuse.
Answer:
x=70
Step-by-step explanation:
the angles opposite 3.5 equal 55 degrees
180-55-55=70
Answer:
Step-by-step explanation:
Let the number of dimes be d and quarters be q
<u>The value is $8.80 = 880¢, so:</u>
- 10d + 25q = 880 ⇒ 2d + 5q = 176
<u>If the dimes were quarters and the quarters were dimes, the coins' total value would be $7.30 or 730¢</u>
- 25d + 10q = 730 ⇒ 5d + 2q = 146
<u>Now we have 2 equations. Solving the system by elimination, subtract 5 times the second equation from twice the first equation:</u>
- 2(2d + 5q) - 5(5d + 2q) = 2(176) - 5(146)
- 4d - 25d = -378
- -21d = -378
- d = -378/-21
- d = 18