The 3 inside angles of a triangle equal 180.
Add the 3 angles together to equal 180:
X + (5x-20) + 4x = 180
Simplify the left side by adding like terms:
10x-20 = 180
Add 20 to each side:
10x = 200
Divide both sides by 10:
x = 20
Angle A = x = 20
Angle B = 4X = 4(20) = 80
Angle C = 5x-20 = 5(20) -20 = 100-20 = 80
Answer:
A. 1:8
Step-by-step explanation:
We have been given that several students were asked to name the kinds of animals they saw in the past week at the park.
Dogs: 8
Cat: 2
Fish: 4
Lizard: 2
We are asked to find the ratio that compares the number of cats seen to the total number of animals seen.
Let us find total number of animal by adding each type of animals as:


We can see that the students saw 2 cats, so ratio of cats to total animals would be
.
Dividing 2 and 16 by 2, we will get:

Therefore, the ratio 1:8 compares the number of cats seen to the total number of animals seen and option A is the correct choice.
The function g is defined by:
g(x) = (4 + x) / (5 + 3x) ...(1)
Now, we need to find g(5n); that is, we make: x = 5n
Replacing this into equation (1):
g(5n) = (4 + 5n) / (5 + 3*(5n)) = (4 + 5n) / (5 + 15n)
So, the final answer is:
g(5n) = (4 + 5n) / (5 + 15n)
The answer should be 8 over 11x
Answer:
126 miles
Step-by-step explanation:
1/4 inches = 9 miles
Divide 3.5 by 1/4 or 0.25
3.5 ÷ 0.25 = 14
Multiply 14 by 9
14 x 9 = 126
126 miles