Answer:
Other side = 60
Perimeter = 150
Step-by-step explanation:
Using Hypothenuse formula
25²+B²=65²
625+B²=4225
B²=4225-425
B²=3600 (Bring Square to the other side to become Square root)
B=√(3600)
B=60
Perimeter:(Sum of all side)
60+65+25
150
Answer:
Option D. (8, – 4)
Step-by-step explanation:
3x + 4y = 8 ..... (1)
x – y = 12.... (2)
To solve the above equation by elimination method, do the following:
Step 1:
Multiply equation 1 by the coefficient of x in equation 2 i.e 1.
Multiply equation 2 by the coefficient of x in equation 1 i.e 3. This is illustrated below:
1 × Equation 1
1 × (3x + 4y = 8)
3x + 4y = 8 ...... (3)
3 × Equation 2
3 × ( x – y = 12)
3x – 3y = 36......(4)
Step 2:
Subtract equation 3 from equation 4. This is illustrated below:
. 3x – 3y = 36
– (3x + 4y = 8)
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
– 7y = 28
Divide both side by the coefficient of y i.e –7
y = 28/–7
y = – 4
Step 3:
Substitute the value of y into any of the equation to obtain the value of x. In this case, we shall substitute the value of y into equation 2 as shown below:
x – y = 12
y = –4
x – (–4) = 12
x + 4 = 12
x = 12 – 4
x = 8
Therefore, the solution to the equation above is (8, – 4)
Answer:
6/5 is the lowest term.
Step-by-step explanation:
Since this is a parallelogram and the angles are adjacent to one another, a theorem will prove that the sum of these two angles would equal 180°
Therefore, we can set up this equation:
(2x + 24) + x = 180 ⇒ Remove parentheses
2x + 24 + x = 180 ⇒ Combine like terms
3x + 24 = 180 ⇒ Subtract 24 from both sides
3x = 156 ⇒ Divide both sides by 3
x = 52°
Answer:
The length of the second side is 22.5 feet.
Step-by-step explanation:
