Answer:
1. 15.9
2. 12
3. 7.29
4. 20.8
5. 11.0
Step-by-step explanation:
We can use the Pythagorean Theorem to solve for x (a squared minus b squared equals c squared)
Example number 1 is solved by 17 squared - 6 squared equals 253
You do square root and get 15.90
Number 4 is you have to divide 24 by 2 because it is one of the sides
So it is 24 squared minus 12 squared
You find square root and get 20.80
Alternate interior angles are congruent. Therefore, set the two angles equal to each other and solve for x.
3x+4= 115
3x+4 -4 = 115 -4
3x = 111
x= 111/3---> 37. Therefore, x = 37.
Answer:
45
Step-by-step explanation:
180 - 135 = 45
The measure of angle 2 is 45.
Answer:
C. For every 2 red candies in a bag, there are 3 green candies.
Step-by-step explanation:
A ratio always contains 2 figures.
Answer:
72 sq. mi
Step-by-step explanation:
Breaking this down, we have 2 right triangles with sides of 3, 4, and 5 miles, and 3 rectangles with dimensions 3 x 5, 4 x 5, and 5 x 5 miles. Remember that the area of a triangle is 1/2 x b x h , where b and h are the triangle's base and height. The base and height of the triangles at the bases of the figure are 3 and 4, so each triangle has an area of 1/2 x 3 x 4 = 1/2 x 12 = 6 sq. mi, or 6 + 6 = 12 sq. mi together.
Onto the rectangles, we can find their area by multiplying their length by their width. Since the width of these rectangles is the same for all three - 5 mi - we can make our lives a little easier and just "glue" the lengths together, giving us a longer rectangle with a length of 3 + 4 + 5 = 12 mi. Multiplying the two, we find the area of the rectangles to be 5 x 12 = 60 sq. mi.
Adding this area to the triangle's area gives us a total area of 12 + 60 = 72 sq. mi.
