5/7
6*5/6*7
30/42
30/42 = 30/42
Yes, 5/7 and 30/42 form a proportion.
Answer:a
Step-by-step explanation:
Answer:
Firstly, notice the relationship the two triangles have. They have conjoining ends that form vertical angles (looks like a middle x). Vertical angles are equivalent in measure of degrees.
Secondly, notice that the triangle on the right side is a right triangle. One of its angle's measurements are also given; 40 degrees. If you know that the sum of a triangle's angles equal 180 degrees, then simply subtract the known angles measurements from 180.
180-(90+40)= 180-130=50.
Therefore, the vertical angles measurement is equivalent to 50 degrees.
Apply the principle of the sum of all angles in a triangle equivalent to 180 degrees to the left triangle, and you will be able to find the measurement of the "?" angle.
180-(50+25)= 180-75=105
SO HERE IS YOUR ANSWER= 105 degrees is the value of the angle marked with a "?"
I hope you are having a great day too;)!
Answer:
a. Vertex = (2.5,-12.25)
b. y-intercept = (0,-6)
c. x-intercept = (6,0) ; (-1,0)
Step-by-step explanation:
a.
Your equation is written as:

The easiest way to find the vertex is writing the equation this way:

Being the vertex (h,k)
So first complete the square

Vertex : (2.5,-12.25)
b.
To find the y-intercept you need to replace the equation when x = 0 and get y

c.
To find the x-intercept you need to replace the equation when y = 0 and get x
