1. B
Just move the triangle to the right 2 units and down 3 units and the new coordinates are the answer
2. C
There are 2 cups of flour for every batch
I believe that because there are 180 degrees in a triangle, and ACB is a triangle, you can add up two of the angles and subtract that from 180. So
30+50=80 and 180-80=100, that mean the angle above angle 1 is 100. And since angle one and that angle 100 are vertical angles, angle 1 = 100
.45 is just 45/100. divide both numbers by 5 to get 9/20.
A direct proportion is any equation where y = mx+b. (i.e., a linear equation)
Each side of 3y = 1/2x can be divided by 3 to get y = 1/6x, satisfying the condition of y = mx+b. (b=0)
In this case, the constant of proportionality would be 1/6.
The answer you are looking for is C. 8.
To find this you could Pythagorean Theorem. The base or bottom of the triangle would be 7, and the "leg" of the triangle would be 3. In this instance, we will call 3 "a" and 7 "b". We use these two numbers to find the missing value, which is "c" or the hypotenuse.
The formula for Pythagorean Theorem is "a^2 + b^2 = c^2". Then we follow these steps.
- Fill in the known values. 3^2 + 7^2 = c^2
- Simplify the squared numbers. 9 + 49 = c^2
- Add the numbers together. 58 = c^2
- Square root both sides. √58 = c.
- Round up to the nearest whole mile. 7.615 = c; c = 8.
Here's a picture to show how I did this. I hope this helps!