Answer:
16
notice how a right triangle was formed, and the Pythagorean theorem could be used to solve this :
a^2 + b^2 = c^2
a^2 + 15^2 = 17^2
a^2 + 225 = 289
a^2 = 64
a= 8
multiply it by 2 to get the side of the base
8 * 2 = 16
Given: lines l and m are parallel, and line t is a transversal.
angle pair result/justification
1 and 2 are equal (vertical angles)
6 and 8 are equal (corresponding angles)
1 and 4 are equal (alternate exterior angles)
4 and 8 are supplementary angles (i.e. add up to 180 degrees, a straight angle)
Note:
alternate angles are on opposite sides of the transversal, and each attached to a different (parallel) line.
If they are both enclosed by the parallel lines, they are alternate interior angles (examples: angles 2 and 3, 6 and 7)
If they are both outside of the two parallel lines, they are alternate exterior angles (examples: angles 1 and 4, 5 and 8)
Answer:
Let two consecutive multiples of 3 be x and (x+3)
A/q,
x * (x+3) = 648
➡ x² + 3x = 648
➡ x² + 3x -648 = 0
➡ x² + 27x - 24x -648 = 0
➡ x ( x + 27 ) -24 ( x +27)
➡ ( x - 24) ( x + 27)
➡ x = 24 and x = -27
so, we take x = 24.
Required multiples of 3
➡ x = 24
➡ x +3 = 24+3 = 27.
Putting the other player's king in check is always a good move. true
<h3>What is chess?</h3>
- The policies of chess allow a king to take an opponent's piece whilst in check, so long as that piece isn't always being defended.
- At the equal time, a king in the test is usually forced to move.
- The standard regulations of chess, a participant may not make any pass that places or leaves their king in the test.
- A player may additionally pass the king, seize the threatening piece, or block the check with some other piece.
- A king cannot look at the opposing king, considering this will vicinity the first king in check as well.
Learn more about chess here:-
#SPJ2
Answer:
x = - 2
Step-by-step explanation:
Given
6(3x + 4) = 4x - 4 ← distribute parenthesis on left side
18x + 24 = 4x - 4 ( subtract 4x from both sides )
14x + 24 = - 4 ( subtract 24 from both sides )
14x = - 28 ( divide both sides by 14 )
x = - 2
