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: y ≤ -x + 2
<u>Step-by-step explanation:</u>
There are an infinite number of possible solutions.
Plot the two points, draw any line between them such that the two points are NOT connected, then choose the inequality symbol that shades (-1, 3).
Here is one solution that satisfies the requirements. y ≤ -x + 2
Here is another: y < -x + 3
And another: y > x + 3
And one more: y ≥ x + 4
180- 113 = 67
180- 67= 113
<5= 67
<2=113
total mass = mass of a bag of candy + mass of a chocolate bar
total mass = 80g +110g = 190g