Answer:
1
Step-by-step explanation:
1 plus 1 plus 1
Answer:
x=6 and z=107
Step-by-step explanation:
From the figure or diagram we can say that
z+15x-17=180 ---(1)
z+11x+7=180 ---(2)
Subtracting (1) and (2)
z+15x-17-(z+11x+7)=180-180
4x-24=0
4x=24
x=6
Substitute x=6 in (2)
z+11(6)+7=180
z+66+7=180
z=180-73
z=107
A Pythagorean triple is a set of thre integer numbers, a, b and c that meet the Pythgorean theorem a^2 + b^2 = c^2
Use Euclide's formula for generating Pythagorean triples.
This formula states that given two arbitrary different integers, x and y, both greater than zero, then the following numbers a, b, c form a Pythagorean triple:
a = x^2 - y^2
b = 2xy
c = x^2 + y^2.
From a = x^2 - y^2, you need that x > y, then you can discard options A and D.
Now you have to probe the other options.
Start with option B, x = 4, y = 3
a = x^2 - y^2 = 4^2 - 3^2 = 16 -9 = 7
b = 2xy = 2(4)(3) = 24
c = x^2 9 y^2 = 4^2 + 3^2 = 16 + 9 = 25
Then we could generate the Pythagorean triple (7, 24, 25) with x = 4 and y =3.
If you want, you can check that a^2 + b^2 = c^2; i.e. 7^2 + 24^2 = 25^2
The answer is the option B. x = 4, y = 3
For the first draw, the probability of an ace is ( 4 / 52 ).
Now there are only 51 cards left in the deck.
For the second draw, the probability of a king is ( 4 / 51 ).
The probability of both events is
(4/52) (4/41) = (16/2,652)
Divide top and bottom by 4:
(16/2,652) = <em>4/663</em> . That's <em>choice-C </em>.
Answer:
The value of g that makes the statement true is 11.
Step-by-step explanation:
The statement is 26 = 7(g - 9) + 12 wich is an equation. In order to find the value of g that satisfies the equation we need to isolate the variable of interest, in this case g. We have:
7*(g-9) + 12 = 26
7*(g-9) = 26 - 12
7*(g-9) = 14
(g-9) = 14/7
(g-9) = 2
g = 2 + 9 = 11
The value of g that makes the statement true is 11.
