The 3 inside angles of a triangle need to equal 180 degrees. Looking at the larger outside triangle the top angle is 30 and the lower right angle is 60.
30 + 60 = 90
The lower left angle needs to be 180 - 90 = 90 degrees.
That angle is split into two angles with one given as 70.
This means X needs to be 90 - 70 = 20 degrees.
x = 20
Answer:
Step-by-step explanation:
We want to find the value of x that satisfies both
- 9x + 4y = 8
and
-3x-y= 4
given the same value of y.
This is the x-value of the point of intersection of the graph of the two lines.
We make y the subject of the bottom equation to get:
y=-3x-4
We substitute y=-3x-4 into the top equation to get:
-9x+4(-3x-4)=8
Expand to get:
-9x-12x-16=8
Group like terms
-21x=24
Seven more than 3 times a number is equal to 49 can be put into an equation form, which would be 7 + 3x = 49. With this equation we can work it out, first we will subtract 7 from both sides of the equation to cancel out the 7. 49 - 7 = 42. Now we have 3x = 42. To isolate x and give us the answer we will divide by 3 on both sides, since 3 is being multiplied by x. This will give us our answer, which is 14.