Answer:
14 units²
Step-by-step explanation:
The area of the shape = area of a triangle
Area of triangle = ½ × base × height
base = 7
height = 4
Plug in the value into the formula:
Area = ½ × 7 × 4
Area = ½ × 28
Area = 14 units²
Answer:
g = 
Step-by-step explanation:
The segment DE joining the midpoints of 2 sides of the triangle is parallel to the third side and half the length of the third side, thus
g =
Answer: 24
Step-by-step explanation:
From the question, we are informed that Micah is buying items for a party and that there are 6 cups in a package and 8 plates in a package.
We are further told that he wants to have the same amount of each item. The least number of packages of cups he needs to buy would be calculated by finding the least common multiple of 6 and 8.
Multiples of 6 = 6, 12 18, 24, 30
Multiples of 8 = 8, 16, 24, 32, 40
The answer is 24 cups
Answer:
y= 3
Step-by-step explanation:
The triangle on the left is a right triangle, so we can use trig functions to solve for the missing side, y.
First, find the length of the side that both triangles are connected to.
tan30=x/9
Isolate the x variable and solve.
9(tan30)=x
x= 5.19615
Now use the Pythagorean Theorem to solve for the side length, y.
a^2+ b^2 = c^2
(5.19615)^2+ b^2= 6^2
c= 3
