Answer:
R__S__T
RT = RS + ST
6x – 4 = ( 4x – 3) + ST
(6x – 4 ) – ( 4x – 3 ) = ST
(6x – 4 ) +( – 4x + 3 ) = ST
2x – 1 = ST
ST = 2x – 1
RS=ST
4x – 3 = 2x – 1
4x – 2x = – 1 +3
2x = 2
x= 2/2
x =1
ST = 2x – 1 = 2(1) – 1 =2 ‐ 1 = 1
ST = 1
I hope I helped you^_^
Answer:
180 different combinations
Step-by-step explanation:
To find the number of different combinations possible, We first find the number of possibilities for each place, and then multiply all possibilities.
Number of possibilities for president: 5
Number of possibilities for vice-president: 6
Number of possibilities for secretary: 2
Number of possibilities for treasurer: 3
Number of different combinations: 5*6*2*3 = 180
(We can form 180 different groups of 1 president, 1 vice-president, 1 secretary and 1 treasurer)
Composite because it can be divided by many numbers
Answer: There are 50 students in the drama club and 34 students in the yearbook club
Step-by-step explanation:
34 + 16 = 50 There are 16 more drama club students than yearbook club students. 50 + 34 =84
Answer:
The length of a side of the square is 6.3 units.
Step-by-step explanation:
When given vertices for a given shape, the length of the side is calculated using the formula:
√(x2 - x1)² + (y2 - y1)²
When given vertices (x1 , y1) and (x2 , y2)
Square ABCD has vertices A(-2,-3), B(4, -1), C(2,5), and D(-4,3). Find the length of a side
Side AB : A(-2,-3), B(4, -1)
√(x2 - x1)² + (y2 - y1)²
= √(4 -(-2))² + (-1 -(-3))²
= √ 6² + 2²
= √36 + 4
= √40
= 6.3245553203
≈ 6.3 units
B(4, -1), C(2,5),
√(x2 - x1)² + (y2 - y1)²
= √ (2- 4)² + (5- (-1))²
= √-2² + 6²
= √4 + 36
= √40
= 6.3245553203
≈ 6.3 units
C(2,5), D(-4,3).
√(x2 - x1)² + (y2 - y1)²
= √(-4 - 2)² + (3 - 5)²
= √-6² + -2²
= √36 + 4
= √40
= 6.3245553203
≈ 6.3 units
A(-2,-3), D(-4,3).
√(x2 - x1)² + (y2 - y1)²
= √(-4 -(-2))² + (3 - (-3))²
= √-2² + 6²
= √4 + 36
= √40
= 6.3245553203
≈ 6.3 units
