Answer:
see the explanation
Step-by-step explanation:
First way
we know that
The sum of the interior angles of a triangle must be equal to 180 degrees
so
In this problem
37+97+134 > 180
therefore
At least one of Franklin's measures is incorrect
Second way
we know that
A triangle can only have at most one obtuse internal angle.
In this problem the triangle has two obtuse internal angles
Remember that an obtuse angle is an angle greater than 90 degrees
therefore
At least one of Franklin's measures is incorrect
Answer:
x = 10.3 in
Step-by-step explanation:
To find the value of a, use the area formula for a triangle. The formula is A = 1/2 *b*h. Here b = x and h= x. The formula becomes A = 1/2 *x². Substitute A = 53 and solve for x by using inverse operations.
A = 1/2x²
53 = 1/2x²
106 = x²
√106 = x
10.3 = x
Answer:
0.20 or 20%
Step-by-step explanation:
Brown shoes = 3
Black shoes = 2
Total shoes = 5
Brown pants = 1
Black shoes = 3
Total pants = 4
Brown socks =4
Black socks = 6
Red socks = 2
Total socks = 12
In order to choose shoes, pants and socks of the same color, Teddy can go either all black or all brown. For all black, there is a 2 in 5 chance he gets the right shoes, 3 in 4 chance for pants and 6 in 12 for socks. For all brown, there is a 3 in 5 chance he gets the right shoes, 1 in 4 chance for pants and 4 in 12 for socks.

The probability that he chooses shoes, pants, and socks of the same color is 0.20 or 20%.