Step-by-step explanation:
9x+79+56=180(sum of angles of triangle)
9x+135=180
9x=180-135
x=45÷9
x=5
Let y represent number of miles between the two cities and x represent number of cm between both cities.
We have been given that on a map of North Carolina, 27 centimeters represents 18 miles. We are asked to determine the equation that would calculate the number of miles between the two cities, y, when they measure x centimeters apart.
We will use proportions to solve our given problem.
Upon substituting our given values in above equation, we will get:
Now we will multiply both sides by x.
Therefore, our required equation would be and 1st option is correct choice.
Answer:
68F
Step-by-step explanation:
Given data
The formula F = 1.8C + 32
we want to find F for C= 20°C
Substitute into the formula we have'
F = 1.8(20) + 32
F=36+32
F=68
Hence the value of 20°C in Fahrenheit is 68F
Answer:
D. 11.8 cm
Step-by-step explanation:
This triangle is a 30°-60°-90° triangle. There is a shortcut to find the lengths of the sides of a 30°-60°-90° triangle. The longest side is the hypotenuse. The longest side is double the shortest side or, the shortest side is half the longest side. Here the longest side is 5, so the short leg (shortest side) is 2.5
The other shortcut is that the longer leg is the
short leg×sqroot3
Here, the short leg is 2.5, so the long leg is 2.5×sqroot3
Perimeter is all the sides added together.
5 + 2.5+ 2.5×sqrt3
Do the times first.
5 + 2.5 + 4.3
= 11.8
