Answer:
5x+60 = 360, x = 60
Step-by-step explanation:
Ok, so the key to this problem is to realize that all angles added up in a quadrilateral give you 360 degrees. This means that x+10 + 2x + 2x + 50 = 360. Then we can just simplify to 5x + 60 = 360, 5x = 300, and x = 60.
Answer:
g(x) = -x² - 4
Step-by-step explanation:
In this case, we are only changing <em>a </em>(reflection and vertical shrink/stretch) and <em>k </em>(vertical movement)
<em>k </em>= -4 because we are moving 4 units down
<em>a </em>= -1 because we are just reflecting over the x-axis
Answer:
10.4 cm
Step-by-step explanation:
The volume (V) of a pyramid is calculated using
V =
area of base × height (h)
area of square base = 6² = 36, thus
× 36h = 120
12h = 120 ( divide both sides by 12 )
h = 10 cm
To find the slant height (s) consider the right triangle from the vertex to the midpoint of the base and from the midpoint of base to the side.
That is a right triangle with hypotenuse s and legs 10(h) and 3 (midpoint of the base )
Using Pythagoras' identity then
s² = 10² + 3² = 100 + 9 = 109
Take the square root of both sides
s =
≈ 10.4 cm
Answer:
15
Step-by-step explanation:
2 * 3 = 6
5 * 3 = 15
7 * 3 = 21
9 * 3 = 27