Answer: D
Explanation: to find whether two instances are proportional, find the rate of change for each situation. Simply divide both numbers from both situations and if the numbers are not the same they are not proportional.
Answer:
x = 110
Step-by-step explanation:
all angles of the triangle MUST add up to 180 degrees.
45 + 65 = 110
180 - 110 = 70
since x is sittling on a 180 degree angle, the sum of 70 and x must equal 180 too
180 - 70 = 110
Answer: 1
Step-by-step explanation:
Given
Two circle touch each other internally at a certain point
Whenever two circles touch each other, they can have only one common tangent.
This is depicted by the diagram shown below where a single single line is tangent to both the circles.
Start by doing a subtraction of 6 to both sides so that the equation becomes -2x^2 + 7x + 1 = 0.
To find the solutions to this equation, we can apply the quadratic formula. This quadratic formula solves equations of the form ax^2 + bx + c = 0
x = [ -b ± √(b^2 - 4ac) ] / (2a)
x = [ -7 ± √((7)^2 - 4(-2)(1)) ] / ( 2(-2) )
x = [-7 ± √(49 - (-8) ) ] / ( -4 )
x = [-7 ± √(57) ] / ( -4)
x = [-7 ± sqrt(57) ] / ( -4 )
x = 7/4 ± -sqrt(57)/4
The answers are 7/4 + sqrt(57)/4 and 7/4 - sqrt(57)/4.