Answer: 6 large frames and 12 small frames
Step-by-step explanation:
We define the following:
x = number of large frames
y = number of small frames
Make the following equations:
x + y = 18
19x + 9y = 222
Use system of equations to solve. We find the value of x first.
y = 18 - x
⇒ 19x + 9(18 - x) = 222
⇒ 19x + 162 - 9x = 222
⇒ 10x + 162 = 222
⇒ 10x = 60
⇒ x = 6
Find value of y:
6 + y = 18
y = 12
∴ 6 large frames and 12 small frames were purchased.
Answer:
The length of BC is 17 units
Step-by-step explanation:
we know that
An isosceles triangle has two equal sides and two equal angles
In this problem we have an isosceles triangle
Because
m∠ACB=m∠ABC ----> given problem
so
AC=AB
substitute the given values

solve for x


therefore
The length of BC is 17 units
Answer:
A = 2 1/2 ft^2
Step-by-step explanation:
The area of a rectangle is given by
A = l*w
A = 3 * 5/6
A = 5/2 ft^2
A = 2 1/2 ft^2
No becasue an acute angle added with another acute angle cannot add up to the needed 180
well, like this the ratio is 300:250. We will now simplify these numbers.
30:25 (divide by ten)
6:5(Divide by five)
Your final ratio is 6:5