Answer:
64
Step-by-step explanation:
Find the area of both triangles inside the bigger triangle and add them together.
Use the Pythagorean theorem to find the missing length of the leg in the smallest triangle:
a² + b² = c²
8² + b² = 10²
64 + b² = 100
36 = b²
6 = b
Calculate the area of the smaller triangle:
1/2(<em>b</em>x<em>h</em>)
1/2(6 x 8)
1/2(48)
24
Calculate the area of the bigger triangle:
<em>We know that the longer leg is 10 units because we were able to subtract the length of the smaller triangle's leg from 16.</em>
1/2(<em>b</em>x<em>h</em>)
1/2(10 x 8)
1/2(80)
40
Add both areas to find the area of the largest triangle:
40 + 24 = 64
Answer: x = 0
Step-by-step explanation:
4x − 3 + x = 7x − 3
Step 1: Simplify both sides of the equation.
4x − 3 + x = 7x − 3
4x + −3 + x = 7x + −3
(4x + x) + (−3) = 7x − 3(Combine Like Terms)
5x + −3 = 7x − 3
5x − 3 = 7x − 3
Step 2: Subtract 7x from both sides.
5x − 3 − 7x = 7x − 3 − 7x
−2x − 3 = −3
Step 3: Add 3 to both sides.
−2x − 3 + 3 = −3 + 3
−2x = 0
Step 4: Divide both sides by -2.
-2x/-2 = 0/-2
x = 0
The answer is C. 90 degrees.
This is because angle R is one of the four angles of a square.
I hope this helps.
Answer:
a gas in a rigid container has a pressure of 632 torrs and a temperature of 45 celsius. The pressure has increased to 842 torrs. What is the new temperature of the gas
