Answer:
x=30 , <HFC= 120 , <DBG=60
Step-by-step explanation:
First when I take a look at these types of problems I always make sure to look around and see if there is anything that can help me.
A very key thing to remember is that all angles that are on a line will = 180
So looking at the angles and just normal geometry rules you can know that 2x+4x=180 cause the inner angles add up to 180.
So then if 6x=180 then divide by 6 to get 30 for finding x!
Given 2 points compute the slope m. then write a point slope form
y-y1=m(x-x1). solve this for y
y=mx - mx1 +y1
Answer:
r=3 where r is the common ratio
Step-by-step explanation:
The sum of geometric progression for n terms is given by:
, where is the
first term of the series and r is the common ratio.
Now, according to the question, there are four terms and they form a geometric progression. So sum of four terms is given as and .
Also according to the above formula:
Using the values as given in the question into the above equation we get:
[ Using formula ]
which is the required answer.
Answer:
x ≥ -2 AND y < 2x
Step-by-step explanation:
the equation for the vertical line is x = -2
the inequality crosses the y-axis at 0 and it's slope is 2 because if you are at the point (-2,-4) you must go up by 4 and then to the right by 2 which reduces to 2
we can write the equation now as:
y = 2x
the shaded portion indicates the solutions to both of these equations so we can say that:
all values that are greater than or equal to -2 AND values less than y=2x