Option 1.
, option 3.
, and option 5.
are true about the right triangle.
Step-by-step explanation:
Step 1:
According to the Pythagorean theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Here the hypotenuse measures 15 units. Assume the other side measures x.


Step 2:

For angle A, the opposite side is 12 units long, the adjacent side is 9 units long and the hypotenuse is 15 units long.


So option 1.
, option 3.
, and option 5.
are true about the right triangle.
Answer:
The answer is A
Step-by-step explanation:

First let's find their current ages:
Billy + 6years = Amy
Billy + Amy = 22
Combining these equations:
Billy + (Billy + 6years) = 22
2 Billy = 16
Billy = 8
Billy + 6 = Amy
8 + 6 = Amy
Amy = 14
In 8 years Billy will be 16 and Amy will be 22. The answer is d.
Answer:
The perimeter is the distance all the way around the outside of a 2D shape. To calculate the perimeter, sum the lengths of all the sides.
Therefore, perimeter of the triangle = (2x - 8) + (2x + 5) + (30 - 3x)
Collect like terms: 2x + 2x - 3x - 8 + 5 + 30
Combine like terms: x + 27
Therefore, perimeter of triangle = x + 27
We are told that the perimeter is 25:
x + 27 = 25
Subtract 27 from both sides: x = -2
If x = -2, then the side with equation 2x - 8 = (2 x -2) - 8 = -12
A length cannot be negative, therefore the perimeter cannot equal 25.
Answer:
Simplifying
4p + -40 = 7(2p + 2)
Reorder the terms:
-40 + 4p = 7(2p + 2)
Reorder the terms:
-40 + 4p = 7(2 + 2p)
-40 + 4p = (2 * 7 + 2p * 7)
-40 + 4p = (14 + 14p)
Solving
-40 + 4p = 14 + 14p
Solving for variable 'p'.
Move all terms containing p to the left, all other terms to the right.
Add '-14p' to each side of the equation.
-40 + 4p + -14p = 14 + 14p + -14p
Combine like terms: 4p + -14p = -10p
-40 + -10p = 14 + 14p + -14p
Combine like terms: 14p + -14p = 0
-40 + -10p = 14 + 0
-40 + -10p = 14
Add '40' to each side of the equation.
-40 + 40 + -10p = 14 + 40
Combine like terms: -40 + 40 = 0
0 + -10p = 14 + 40
-10p = 14 + 40
Combine like terms: 14 + 40 = 54
-10p = 54
Divide each side by '-10'.
p = -5.4
Simplifying
p = -5.4
Step-by-step explanation:
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